All questions
Question 1
A student compares two situations with the same book on the same table.
Situation 1: The book is resting. Forces on the book: weight 10N downward and normal force 10N upward.
Situation 2: The student pushes the book to the right with 12N while friction pulls left with 7N (the 10N weight and 10N normal force still act).
Which statement correctly compares the net force and motion in the two situations?
- Situation 1 is unbalanced and the book accelerates upward; Situation 2 is balanced so it moves at constant speed.
- Situation 1 is balanced with Fnet=0 so there is no acceleration; Situation 2 is unbalanced with Fnet=5N to the right so the book accelerates right. (correct answer)
- Situation 1 is balanced only if the book is moving; since it is at rest, the forces must be unbalanced.
- Situation 2 is balanced because there are four forces acting, so the net force must be zero.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. Scenario 1 shows balanced forces (all forces cancel, F_net = 0) resulting in no acceleration (stays at rest), while Scenario 2 shows unbalanced forces (forces don't cancel, F_net = 5 N right) resulting in acceleration to the right (motion changes)—the key difference is the net force: zero net force means no motion change (Newton's First Law), nonzero net force means motion change via acceleration (Newton's Second Law). Choice B is correct because it properly identifies forces as balanced when they sum to zero, or unbalanced when they don't, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0) while accurately predicting acceleration for unbalanced forces in direction of F_net. Choice A is incorrect because it incorrectly identifies balanced forces as unbalanced (or vice versa), possibly by ignoring directions when calculating net force, and predicts acceleration when forces are balanced (F_net = 0), violating Newton's First Law which states balanced forces produce no acceleration. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 2
A car is traveling straight on a level road.
Case 1: The engine provides 500N forward while air resistance and friction total 500N backward.
Case 2: The engine provides 700N forward while air resistance and friction total 500N backward.
How does the motion differ between Case 1 and Case 2?
- Case 1 has Fnet=0 so the car can move at constant velocity; Case 2 has Fnet=200N forward so the car accelerates forward. (correct answer)
- Case 1 has Fnet=1000N forward so the car accelerates; Case 2 has Fnet=0 so it is at rest.
- Both cases are balanced because the car is moving, so neither case can involve acceleration.
- Case 2 is balanced because there are more newtons forward, so the car's speed stays the same.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. Scenario Case 1 shows balanced forces (all forces cancel, F_net = 0) resulting in constant velocity motion (no acceleration), while Scenario Case 2 shows unbalanced forces (forces don't cancel, F_net = 200 N forward) resulting in acceleration forward (motion changes)—the key difference is the net force: zero net force means no motion change (Newton's First Law), nonzero net force means motion change via acceleration (Newton's Second Law). Choice A is correct because it properly identifies forces as balanced when they sum to zero, or unbalanced when they don't, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0) while accurately predicting acceleration for unbalanced forces in direction of F_net. Choice B incorrectly identifies balanced forces as unbalanced (or vice versa), possibly by ignoring directions when calculating net force, makes calculation error: adds forces without considering opposite directions (500 N forward + 500 N backward = 1000 N instead of 0), and predicts constant velocity when forces are unbalanced (F_net ≠ 0), violating Newton's Second Law which requires acceleration when net force exists. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 3
A skydiver has just jumped from a plane. At that moment, the forces are: weight 800N downward and air resistance 100N upward.
Which statement best describes the force balance and the motion?
- Forces are balanced (Fnet=0), so the skydiver falls at constant speed.
- Forces are unbalanced with Fnet=700N downward, so the skydiver accelerates downward. (correct answer)
- Forces are unbalanced with Fnet=900N downward, so the skydiver accelerates downward.
- Forces are balanced because there are two forces, so the skydiver does not move.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. The forces are unbalanced because the downward weight (800 N) exceeds the upward air resistance (100 N), giving F_net = 800 - 100 = 700 N downward; this net force (F_net ≠ 0) will cause acceleration by Newton's Second Law: F_net = ma, so the object will accelerate in the direction of the net force downward, changing its motion by speeding up downward. Choice B is correct because it properly identifies forces as unbalanced when they don't sum to zero, accurately predicts acceleration for unbalanced forces in direction of F_net, and properly calculates net force by considering force directions and magnitudes. Choice A incorrectly identifies unbalanced forces as balanced, possibly by ignoring directions when calculating net force, and predicts constant velocity when forces are unbalanced (F_net ≠ 0), violating Newton's Second Law which requires acceleration when net force exists. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 4
A book is resting on a table. The book's weight is 10 N downward, and the table pushes up on the book with a normal force of 10 N upward. Which statement best describes the forces and the book's motion?
- Forces are unbalanced (Fnet=20 N upward), so the book accelerates upward.
- Forces are balanced (Fnet=0), so the book has no acceleration and stays at rest. (correct answer)
- Forces are balanced (Fnet=0), so the book must be moving at constant speed across the table.
- Forces are unbalanced because there are two forces, so the book accelerates downward.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. In this situation, the forces are balanced because the upward normal force (10 N) equals the downward weight (10 N), giving F_net = 10 N up + 10 N down = 0. With net force of zero, Newton's First Law predicts the object will remain at rest if currently stationary—there will be no acceleration because acceleration requires net force (F = ma), and with F_net = 0, we must have a = 0. Choice B is correct because it properly identifies forces as balanced when they sum to zero, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0). Choice C incorrectly predicts constant velocity motion when the book is described as resting, violating the scenario where it's at rest with balanced forces. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 5
A cart is pushed to the right with 10 N while friction is 10 N to the left. The cart is already moving to the right. What will happen to the cart's motion?
- It speeds up because a force is applied to the right.
- It slows down because friction always makes objects stop, even if forces balance.
- It continues at constant velocity because Fnet=0 (balanced forces). (correct answer)
- It accelerates to the left because friction is present.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. The forces are balanced because the rightward push (10 N) equals the leftward friction (10 N), giving F_net = 10 N right - 10 N left = 0. With net force of zero, Newton's First Law predicts the object will continue moving at constant velocity if currently moving—there will be no acceleration because acceleration requires net force (F = ma), and with F_net = 0, we must have a = 0. Choice C is correct because it properly identifies forces as balanced when they sum to zero, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0). Choice B incorrectly identifies balanced forces as unbalanced (or vice versa), possibly by ignoring directions when calculating net force and predicts acceleration when forces are balanced (F_net = 0), violating Newton's First Law which states balanced forces produce no acceleration. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 6
A skydiver has just jumped from a plane. At first, the weight downward is larger than the air resistance upward. What does this tell you about the net force and the skydiver's motion?
- Forces are balanced (Fnet=0), so the skydiver falls at constant speed.
- Forces are unbalanced (Fnet downward), so the skydiver accelerates downward (speeds up). (correct answer)
- Forces are unbalanced (Fnet upward), so the skydiver accelerates upward.
- Forces are balanced because gravity is always present, so there is no acceleration.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. The forces are unbalanced because the downward weight exceeds the upward air resistance, giving F_net downward. This net force (F_net ≠ 0) will cause acceleration by Newton's Second Law: F_net = ma, so the object will accelerate in the direction of the net force downward, changing its motion by speeding up downward. Choice B is correct because it properly identifies forces as unbalanced when they don't sum to zero, and accurately predicts acceleration for unbalanced forces in direction of F_net. Choice A incorrectly identifies unbalanced forces as balanced, possibly by ignoring magnitudes when calculating net force, and predicts constant velocity when forces are unbalanced (F_net ≠ 0), violating Newton's Second Law which requires acceleration when net force exists. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 7
A cart rolls to the right at a constant speed on a smooth floor. A student measures two horizontal forces on the cart: an applied force of 4N to the right and friction of 4N to the left.
Which conclusion is correct?
- The forces are unbalanced, so the cart must be speeding up to the right.
- The net force is 8N to the right, so the cart keeps a constant speed.
- The forces are balanced (Fnet=0), so the cart has no acceleration and can move at constant velocity. (correct answer)
- Balanced forces mean the cart must be at rest, not moving.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. In this situation, the forces are balanced because the rightward push (4 N) equals the leftward friction (4 N), giving F_net = 0; with net force of zero, Newton's First Law predicts the object will continue moving at constant velocity if currently moving—there will be no acceleration because acceleration requires net force (F = ma), and with F_net = 0, we must have a = 0. Choice C is correct because it properly identifies forces as balanced when they sum to zero, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0). Choice A incorrectly identifies balanced forces as unbalanced (or vice versa), possibly by ignoring directions when calculating net force, and predicts acceleration when forces are balanced (F_net = 0), violating Newton's First Law which states balanced forces produce no acceleration. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 8
In a tug-of-war, Team Left pulls with 60 N to the left and Team Right pulls with 40 N to the right. Which statement is correct?
- Forces are balanced because there are two teams; the rope stays at rest.
- Fnet=20 N to the left, so the rope accelerates to the left. (correct answer)
- Fnet=100 N to the left, so the rope accelerates to the left.
- Fnet=0 N, so the rope accelerates to the left.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. The forces are unbalanced because the leftward pull (60 N) is greater than the rightward pull (40 N), giving net force F_net = 60 N - 40 N = 20 N to the left. This net force (F_net ≠ 0) will cause acceleration by Newton's Second Law: F_net = ma, so the object will accelerate in the direction of the net force to the left, changing its motion by speeding up if net force is in motion direction or starting to move if initially at rest. Choice B is correct because it accurately predicts acceleration for unbalanced forces in direction of F_net and properly calculates net force by considering force directions and magnitudes. Choice C makes calculation error: adds forces without considering opposite directions (60 N + 40 N = 100 N instead of 20 N). To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 9
A student pushes a book to the right across a table with a 15 N force. Friction on the book is 10 N to the left. What is the net force on the book, and what will happen to its motion?
- Fnet=25 N to the right, so it moves at constant velocity to the right.
- Fnet=5 N to the right, so it accelerates to the right. (correct answer)
- Fnet=0 N, so it accelerates to the right.
- Fnet=5 N to the left, so it accelerates to the left.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. The forces are unbalanced because the rightward push (15 N) is greater than the leftward friction (10 N), giving net force F_net = 15 N - 10 N = 5 N to the right. This net force (F_net ≠ 0) will cause acceleration by Newton's Second Law: F_net = ma, so the object will accelerate in the direction of the net force to the right, changing its motion by speeding up if net force is in motion direction or starting to move if initially at rest. Choice B is correct because it accurately predicts acceleration for unbalanced forces in direction of F_net and properly calculates net force by considering force directions and magnitudes. Choice A incorrectly identifies the net force as 25 N by adding magnitudes without considering opposite directions, and predicts constant velocity when forces are unbalanced (F_net ≠ 0), violating Newton's Second Law which requires acceleration when net force exists. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 10
In a tug-of-war, Team Left pulls with 70 N to the left and Team Right pulls with 50 N to the right. The rope is initially at rest. Which statement is correct?
- Fnet=20 N to the left; the rope accelerates to the left. (correct answer)
- Fnet=120 N to the left; the rope accelerates to the left.
- Fnet=0; the rope stays at rest because forces act in opposite directions.
- Fnet=20 N to the right; the rope accelerates to the right.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. The forces are unbalanced because the leftward pull (70 N) is greater than the rightward pull (50 N), giving net force F_net = 70 N - 50 N = 20 N to the left. This net force (F_net ≠ 0) will cause acceleration by Newton's Second Law: F_net = ma, so the object will accelerate in the direction of the net force to the left, starting to move if initially at rest. Choice A is correct because it properly identifies forces as unbalanced when they don't sum to zero, accurately predicts acceleration for unbalanced forces in direction of F_net, and properly calculates net force by considering force directions and magnitudes. Choice C incorrectly identifies unbalanced forces as balanced (or vice versa), possibly by ignoring directions when calculating net force and predicts constant velocity when forces are unbalanced (F_net ≠ 0), violating Newton's Second Law which requires acceleration when net force exists. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 11
Two situations use the same cart on the same floor:
Situation 1: The cart is at rest. A student does not push it.
Situation 2: The student pushes the cart to the right with 6 N while friction is 2 N to the left.
Which comparison correctly matches each situation with balanced/unbalanced forces and the motion outcome?
- Situation 1: unbalanced, stays at rest; Situation 2: balanced, accelerates right.
- Situation 1: balanced, stays at rest; Situation 2: unbalanced, accelerates right. (correct answer)
- Situation 1: balanced, accelerates left; Situation 2: unbalanced, moves at constant speed right.
- Situation 1: unbalanced, accelerates right; Situation 2: balanced, stays at rest.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. Situation 1 shows balanced forces (all forces cancel, F_net = 0) resulting in constant velocity motion (no acceleration), while Situation 2 shows unbalanced forces (forces don't cancel, F_net = 4 N right) resulting in acceleration to the right (motion changes)—the key difference is the net force: zero net force means no motion change (Newton's First Law), nonzero net force means motion change via acceleration (Newton's Second Law). Choice B is correct because it properly identifies forces as balanced when they sum to zero, or unbalanced when they don't, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0) while accurately predicting acceleration for unbalanced forces in direction of F_net. Choice A incorrectly identifies balanced forces as unbalanced (or vice versa), possibly by ignoring directions when calculating net force and predicts constant velocity when forces are unbalanced (F_net ≠ 0), violating Newton's Second Law which requires acceleration when net force exists. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 12
A book is resting on a table. The book's weight is 10N downward, and the table pushes up on the book with a normal force of 10N upward. Which statement best describes the forces and the book's motion?
- The forces are unbalanced (Fnet=20N downward), so the book accelerates downward.
- The forces are balanced (Fnet=0), so the book has no acceleration and stays at rest. (correct answer)
- The forces are unbalanced (Fnet=10N upward), so the book accelerates upward.
- The forces are balanced, so the book must move upward at a constant speed.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. In this situation, the forces are balanced because the upward normal force (10 N) equals the downward weight (10 N), giving F_net = 10 N up + 10 N down = 0. With net force of zero, Newton's First Law predicts the object will remain at rest if currently stationary—there will be no acceleration because acceleration requires net force (F = ma), and with F_net = 0, we must have a = 0. Choice B is correct because it properly identifies forces as balanced when they sum to zero and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0). Choice A incorrectly adds forces without considering opposite directions (10 N up + 10 N down = 20 N instead of 0), Choice C makes a calculation error suggesting net upward force when forces are equal and opposite, and Choice D suggests balanced forces cause constant velocity motion when the book is initially at rest—balanced forces maintain the current state of motion, which is rest in this case. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction.
Question 13
Two situations use the same book on the same table:
Situation 1: The book is at rest with weight 10N down and normal force 10N up.
Situation 2: The book is pushed to the right with 12N while friction is 12N to the left.
How do the forces and motion compare in the two situations?
- Situation 1 is balanced and Situation 2 is unbalanced; only Situation 2 has no acceleration.
- Both situations are balanced (Fnet=0); neither situation has acceleration. (correct answer)
- Both situations are unbalanced; both must speed up.
- Situation 1 is unbalanced because the book is not moving; Situation 2 is balanced because it is being pushed.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out, and when forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Situation 1 shows balanced forces (the upward normal force 10 N equals the downward weight 10 N, giving F_net = 0) resulting in no acceleration—the book remains at rest. Situation 2 also shows balanced forces (the rightward push 12 N equals the leftward friction 12 N, giving F_net = 0) resulting in no acceleration—the book will either remain at rest if initially stationary or continue at constant velocity if initially moving. Choice B is correct because it properly identifies both situations as having balanced forces (F_net = 0 in both cases) and correctly predicts no acceleration for balanced forces, recognizing that balanced forces can occur whether an object is at rest or moving at constant velocity. Choice A incorrectly identifies Situation 1 as balanced and Situation 2 as unbalanced when both have F_net = 0, Choice C incorrectly identifies both as unbalanced when forces clearly cancel in each case, and Choice D confuses motion state with force balance—balanced forces can exist whether object is at rest or moving at constant velocity, and being pushed doesn't automatically mean forces are balanced. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. The key insight is that balanced forces (F_net = 0) produce no acceleration regardless of whether the object is at rest or moving—Newton's First Law applies equally to both states of constant velocity (including v = 0).
Question 14
In a tug-of-war, the left team pulls with 50N to the left and the right team pulls with 50N to the right. What is the net force on the rope, and what motion outcome is expected?
- Fnet=100N; the rope accelerates toward the stronger side.
- Fnet=0; the rope has no acceleration (it stays at rest or keeps moving at constant velocity). (correct answer)
- Fnet=50N left; the rope accelerates left.
- Fnet=50N right; the rope accelerates right.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out, and when forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). In this situation, the forces are balanced because the leftward pull (50 N) equals the rightward pull (50 N), giving F_net = 50 N left + 50 N right = 0. With net force of zero, Newton's First Law predicts the rope will remain at rest if currently stationary or continue moving at constant velocity if currently moving—there will be no acceleration because acceleration requires net force (F = ma), and with F_net = 0, we must have a = 0. Choice B is correct because it properly identifies forces as balanced when they sum to zero (50 N left - 50 N right = 0) and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0), noting the rope stays at rest or keeps constant velocity. Choice A incorrectly assumes balanced forces just because there are two teams without checking if forces are equal, Choice C incorrectly calculates net force as 50 N left when forces are equal and opposite, and Choice D incorrectly calculates net force as 50 N right when forces cancel out. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws. In tug-of-war, when both teams pull with equal force, the rope experiences balanced forces and won't accelerate in either direction.
Question 15
Right after a skydiver jumps from a plane, the weight is 800N downward and air resistance is only 200N upward. What is the net force, and what happens next?
- Fnet=600N downward; the skydiver accelerates downward (speeds up). (correct answer)
- Fnet=1000N upward; the skydiver accelerates upward.
- Fnet=0; the skydiver immediately moves downward at constant speed.
- Fnet=600N upward; the skydiver slows down while falling.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. The forces are unbalanced because the downward weight (800 N) exceeds the upward air resistance (200 N), giving F_net = 800 N - 200 N = 600 N downward. This net force (F_net ≠ 0) will cause acceleration by Newton's Second Law: F_net = ma, so the skydiver will accelerate in the direction of the net force downward, changing motion by speeding up in the downward direction. Choice A is correct because it accurately calculates net force by considering force directions and magnitudes (800 N down - 200 N up = 600 N down) and correctly predicts acceleration for unbalanced forces in direction of F_net, noting the skydiver speeds up downward. Choice B incorrectly reverses forces suggesting net upward force when weight exceeds air resistance, Choice C claims F_net = 0 when 800 N clearly doesn't equal 200 N and predicts constant speed when unbalanced forces must cause acceleration, and Choice D incorrectly calculates net force as upward and suggests slowing down while falling when net downward force would cause speeding up downward. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Right after jumping, a skydiver experiences unbalanced forces because air resistance hasn't built up yet to balance weight—as the skydiver speeds up, air resistance increases until eventually reaching terminal velocity where forces balance.
Question 16
A book is pushed to the right with 9N. Friction on the book is 9N to the left. (The weight and normal force cancel vertically.)
If the book is already sliding to the right, what should happen to its motion?
- It speeds up to the right because a push always causes acceleration.
- It slows down because friction is present, even though the forces are equal.
- It continues moving to the right at constant velocity because Fnet=0. (correct answer)
- It must stop immediately because balanced forces mean zero velocity.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. In this situation, the forces are balanced because the rightward push (9 N) equals the leftward friction (9 N), giving F_net = 0; with net force of zero, Newton's First Law predicts the object will continue moving at constant velocity if currently moving—there will be no acceleration because acceleration requires net force (F = ma), and with F_net = 0, we must have a = 0. Choice C is correct because it properly identifies forces as balanced when they sum to zero, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0). Choice A incorrectly identifies balanced forces as unbalanced (or vice versa), possibly by ignoring directions when calculating net force, and predicts acceleration when forces are balanced (F_net = 0), violating Newton's First Law which states balanced forces produce no acceleration. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 17
A student observes two situations for the same soccer ball on grass.
Situation A: The ball is sitting still. Forces: weight downward and normal force upward (equal in size).
Situation B: The ball is rolling forward, but friction from the grass is the only horizontal force and it points backward.
Which statement correctly identifies balanced vs. unbalanced forces and the motion outcome?
- Situation A is unbalanced because the ball is not moving; Situation B is balanced because the ball is moving.
- Situation A is balanced with Fnet=0 so it stays at rest; Situation B is unbalanced so it slows down (accelerates backward). (correct answer)
- Situation A is balanced, so it must start rolling; Situation B is unbalanced, so it moves at constant speed.
- Both situations are balanced because the weight and normal force cancel, so the ball's motion cannot change.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. Scenario A shows balanced forces (all forces cancel, F_net = 0) resulting in no acceleration (stays at rest), while Scenario B shows unbalanced forces (forces don't cancel, F_net backward from friction) resulting in acceleration backward (slows down)—the key difference is the net force: zero net force means no motion change (Newton's First Law), nonzero net force means motion change via acceleration (Newton's Second Law). Choice B is correct because it properly identifies forces as balanced when they sum to zero, or unbalanced when they don't, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0) while accurately predicting acceleration for unbalanced forces in direction of F_net (slowing down here). Choice A incorrectly identifies balanced forces as unbalanced (or vice versa), possibly by confusing rest with unbalanced and motion with balanced, and claims only objects at rest can have balanced forces, when actually constant velocity also has F_net = 0 (balanced). To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 18
A parachutist is descending at terminal velocity. The forces are: weight 700N downward and air resistance 700N upward.
What does this tell you about the net force and acceleration?
- Fnet=1400N downward, so acceleration is downward.
- Fnet=0N, so acceleration is 0 and the speed stays constant. (correct answer)
- Fnet=700N upward, so the parachutist slows down.
- Fnet=0N, so the parachutist must be at rest in the air.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. In this situation, the forces are balanced because the upward air resistance (700 N) equals the downward weight (700 N), giving F_net = 700 N up + 700 N down = 0; with net force of zero, Newton's First Law predicts the object will continue moving at constant velocity if currently moving—there will be no acceleration because acceleration requires net force (F = ma), and with F_net = 0, we must have a = 0. Choice B is correct because it properly identifies forces as balanced when they sum to zero, and correctly predicts no acceleration for balanced forces (F_net = 0 → a = 0). Choice A incorrectly identifies balanced forces as unbalanced, possibly by ignoring directions when calculating net force, makes calculation error: adds forces without considering opposite directions (700 N up + 700 N down = 1400 N instead of 0), and predicts acceleration when forces are balanced (F_net = 0), violating Newton's First Law which states balanced forces produce no acceleration. To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 19
In a tug-of-war, Team Left pulls with 60N to the left and Team Right pulls with 40N to the right.
What is the net force on the rope, and what motion change should be observed?
- Fnet=20N to the left; the rope accelerates to the left. (correct answer)
- Fnet=100N to the left; the rope moves left at constant speed.
- Fnet=0N; the rope accelerates because both teams are pulling.
- Fnet=20N to the right; the rope accelerates to the right.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). Balanced forces occur when all forces acting on an object sum to zero (F_net = 0)—this can happen with two equal magnitude opposite direction forces canceling out (like weight 10 N down and normal force 10 N up), or with multiple forces that completely cancel when added as vectors. When forces are balanced, Newton's First Law applies: an object at rest will stay at rest, and an object moving will continue at the same speed in the same direction (constant velocity), because with no net force, there's no acceleration (a = 0 when F_net = 0). Unbalanced forces occur when forces don't sum to zero (F_net ≠ 0), meaning one direction has more force than the opposite direction, and Newton's Second Law applies: the object accelerates (F_net = ma) in the direction of the net force—this changes the motion by speeding up, slowing down, or changing direction. The forces are unbalanced because the leftward pull (60 N) is greater than the rightward pull (40 N), giving net force F_net = 60 N - 40 N = 20 N to the left; this net force (F_net ≠ 0) will cause acceleration by Newton's Second Law: F_net = ma, so the object will accelerate in the direction of the net force to the left, changing its motion by speeding up if net force is in motion direction or starting to move if initially at rest. Choice A is correct because it properly identifies forces as unbalanced when they don't sum to zero, accurately predicts acceleration for unbalanced forces in direction of F_net, and properly calculates net force by considering force directions and magnitudes. Choice B incorrectly identifies unbalanced forces as causing constant velocity when forces are unbalanced (F_net ≠ 0), violating Newton's Second Law which requires acceleration when net force exists, and makes calculation error: adds forces without considering opposite directions (60 N left + 40 N right = 100 N instead of 20 N). To determine if forces are balanced or unbalanced: (1) identify all forces acting on the object (draw or list them with magnitudes and directions), (2) add forces as vectors considering directions (forces in same direction add, forces in opposite directions subtract), (3) calculate net force F_net (if all cancel → F_net = 0 balanced, if don't cancel → F_net = some value in some direction unbalanced), (4) predict motion: F_net = 0 means no acceleration (stays at rest or constant velocity), F_net ≠ 0 means acceleration = F_net/m in the net force direction. Common situations: book sitting still on table has balanced forces (definitely not accelerating, so F_net = 0), car cruising at steady speed on highway has balanced forces (constant velocity means a = 0 means F_net = 0 even though moving), car speeding up has unbalanced forces (accelerating means F_net ≠ 0 by Newton's Second Law), and falling object near start has unbalanced forces (weight > air resistance, F_net down, accelerates down) but at terminal velocity has balanced forces (weight = air resistance, F_net = 0, constant velocity downward)—the motion outcome (accelerating or not) tells you about force balance, and force balance tells you about motion outcome, they're connected through Newton's Laws.
Question 20
You want to plan an investigation to compare balanced and unbalanced forces using a cart on a table. Which plan best tests how net force affects motion?
- Use two different carts and push each one with different strengths, without measuring the forces, and just describe what you think happened.
- Use the same cart: first adjust the push so it matches friction and the cart moves at constant speed, then push harder than friction and measure how the cart's speed changes over time. (correct answer)
- Use the same cart and only measure its mass, because mass alone determines whether forces are balanced.
- Push the cart once and time how long it takes to stop; if it stops, that proves the forces were balanced the whole time.
Explanation: This question tests understanding of the critical difference between balanced forces (F_net = 0, no acceleration) and unbalanced forces (F_net ≠ 0, acceleration occurs). To properly investigate how net force affects motion, you need to create controlled situations where you can measure forces and observe the resulting motion—specifically comparing what happens with F_net = 0 (balanced) versus F_net ≠ 0 (unbalanced). The best plan uses the same cart to control for mass, first creates balanced forces by adjusting push to match friction so F_net = 0 and observes constant velocity motion (no acceleration), then creates unbalanced forces by pushing harder than friction so F_net ≠ 0 and measures the resulting acceleration (speed change over time). This directly tests Newton's Laws: balanced forces (F_net = 0) produce no acceleration (constant velocity), while unbalanced forces (F_net ≠ 0) produce acceleration proportional to net force (F_net = ma). Choice B is correct because it properly controls variables (same cart), creates both balanced and unbalanced force conditions, and measures the motion outcome (constant speed vs changing speed) to test how net force affects motion. Choice A fails to measure forces or control variables (different carts have different masses), Choice C incorrectly suggests mass alone determines force balance (ignoring that balance depends on forces summing to zero), and Choice D misunderstands physics by claiming a stopping cart proves forces were balanced the whole time (actually, friction creates unbalanced force that causes deceleration). To determine if forces are balanced or unbalanced: (1) measure all forces acting on the object, (2) calculate net force F_net, (3) observe motion—if speed stays constant, forces are balanced (F_net = 0); if speed changes, forces are unbalanced (F_net ≠ 0) with acceleration = F_net/m.