All questions
Question 1
A 2.0kg block rests on a horizontal table. A student pulls it with a 6N horizontal force, and the block remains at rest. The friction force is static, and the only other forces are weight and the normal force. What is the magnitude of the friction force on the block?
- 0N
- 6N (correct answer)
- mg
- μsN
Explanation: This problem tests understanding of static friction and equilibrium. When the block remains at rest despite the applied force, the net force must be zero, meaning all forces balance. The student pulls with 6 N to the right, so static friction must exert 6 N to the left to maintain equilibrium. Static friction adjusts its magnitude (up to a maximum of μₛN) to exactly balance applied forces and prevent motion. Choice A (0 N) incorrectly assumes no friction acts when the object is at rest. The key strategy is: for objects at rest, static friction equals the applied force magnitude (not the maximum possible friction).
Question 2
A block on a rough horizontal surface is pushed to the right with 4N and remains at rest. The friction is static; other forces are weight and normal force. Which statement about the friction magnitude is necessarily true?
- It equals μsN
- It equals 4N (correct answer)
- It is greater than 4N
- It is less than 4N
Explanation: This question assesses understanding of static friction in AP Physics 1, distinguishing it from its maximum value. Static friction equals the applied force when it's less than μ_s N, keeping the object stationary. Kinetic friction would apply if the push exceeded the maximum, but here the block rests. Thus, friction must be exactly 4 N to balance the push. A common distractor is choice A, assuming it equals μ_s N, but that's only at the onset of motion, not necessarily here. A transferable strategy is to use equilibrium conditions to set friction equal to other parallel forces when motion doesn't occur.
Question 3
A sled is sliding to the left across level snow. The friction is kinetic; other forces are weight and the normal force. What is the direction of the friction force on the sled?
- To the left
- To the right (correct answer)
- Downward
- Upward
Explanation: This question assesses understanding of kinetic friction in AP Physics 1, focusing on its directional opposition to motion. Static friction would adjust up to μ_s N to prevent motion if the sled were at rest. Kinetic friction acts with μ_k N constantly against the direction of velocity during sliding. With the sled sliding left, friction points right to oppose that motion. A common distractor is choice A, suggesting leftward to 'push' it, but friction always resists the current velocity. A transferable strategy is to clearly identify the velocity vector and direct friction antiparallel to it for kinetic friction problems.
Question 4
A cart on a rough horizontal track is pulled rightward and is sliding rightward while slowing down. The friction is kinetic; other forces are the pull, weight, and normal force. Which statement about the friction direction is correct?
- Leftward, because it opposes the cart’s motion (correct answer)
- Rightward, because it opposes the cart’s slowing down
- Rightward, because kinetic friction is greater than static friction
- Zero, because the cart is already moving
Explanation: This question assesses understanding of kinetic friction in AP Physics 1 during deceleration. Static friction adjusts to prevent motion, but here kinetic friction is active since the cart is sliding. Kinetic friction opposes the velocity, pointing leftward against the rightward motion, contributing to slowing. Even with a rightward pull, if the cart slows, net force is leftward, consistent with leftward friction. A common distractor is choice B, thinking it opposes slowing by pointing right, but friction opposes velocity, not acceleration. A transferable strategy is to analyze net force direction from acceleration and ensure friction aligns with opposing motion.
Question 5
A box is pushed on a rough floor with an 8N horizontal force to the right and does not move. The friction is static; other forces are weight and normal force. Which quantity must equal 8N?
- The normal force
- The static friction force magnitude (correct answer)
- The maximum possible static friction μsN
- The weight mg
Explanation: This problem tests static friction in equilibrium conditions. When the box remains at rest under an 8 N rightward push, static friction must provide an equal 8 N force leftward to maintain zero net force. Static friction adjusts its magnitude to match applied forces, up to its maximum value μₛN. The actual static friction (8 N) may be less than the maximum possible static friction. Choice C (μₛN) represents the maximum possible static friction, not necessarily the actual value. The strategy is: for stationary objects, static friction magnitude equals the applied force magnitude, not the maximum possible value.
Question 6
A 4.0kg block on a rough level surface is pulled horizontally to the right with 12N and accelerates to the right. The friction is kinetic; other forces are weight and normal force. Which statement about the kinetic friction magnitude is supported?
- It must be 12N
- It must be greater than 12N
- It must be less than 12N (correct answer)
- It must equal μsN
Explanation: This question tests the concept of kinetic and static friction in AP Physics 1, analyzing accelerated motion with kinetic friction. Static friction adjusts up to μ_s N but switches to kinetic once motion begins, with constant magnitude μ_k N opposing the motion. Since the block accelerates to the right under a 12 N pull, the net force is rightward, meaning the applied force exceeds kinetic friction. Thus, kinetic friction must be less than 12 N. Choice B is a distractor, suggesting friction > 12 N, which would cause leftward acceleration, not rightward. For acceleration problems, apply Newton's second law: net force equals mass times acceleration, and isolate friction accordingly.
Question 7
A block slides down a rough incline at constant speed. The friction is kinetic; other forces are weight and the incline’s normal force. Which statement about the kinetic friction magnitude is correct?
- It equals the component of gravity down the incline (correct answer)
- It must be greater than the component of gravity down the incline
- It equals μsN
- It is zero because the speed is constant
Explanation: This question tests the concept of kinetic and static friction in AP Physics 1, applied to constant-speed motion on an incline. Static friction varies up to μ_s N to prevent sliding, but here kinetic friction is involved since the block is already moving. Kinetic friction has a constant magnitude μ_k N and opposes the motion, balancing other forces for constant speed. Thus, its magnitude equals the downhill component of gravity, mg sin θ, to yield zero net force parallel to the incline. Choice D is a distractor, claiming friction is zero due to constant speed, but friction is necessary to counteract gravity's component. A key strategy is to set net force to zero for constant velocity and solve for the unknown friction force.
Question 8
A 5.0kg block is sliding left across a horizontal floor. The friction is kinetic; other forces are weight and normal force. A 10N horizontal force is applied to the right. What is the direction of the kinetic friction on the block?
- To the right, because it opposes the applied force
- To the left, because it always points in the direction of motion
- To the right, because it opposes the sliding motion (correct answer)
- Zero, because a force to the right cancels friction
Explanation: This question tests the concept of kinetic and static friction in AP Physics 1, highlighting kinetic friction's direction independent of applied forces. Static friction can adjust up to μ_s N to prevent motion, but once sliding occurs, kinetic friction is constant at μ_k N. Importantly, kinetic friction always opposes the direction of the object's velocity, not necessarily the applied force. Here, the block is sliding left, so friction points right to oppose that motion, even with a rightward applied force. Choice B is a distractor that misstates friction as pointing in the direction of motion, which would actually aid rather than resist it. To approach such questions, focus on the velocity vector to determine what friction opposes, regardless of other forces.
Question 9
A box sits on a rough incline and is about to start sliding down the ramp. The friction is static; other forces are weight and the ramp’s normal force. What is the direction of the frictional force on the box?
- Down the incline
- Up the incline (correct answer)
- Perpendicular to the incline
- Zero because the box is not moving yet
Explanation: This question tests the concept of kinetic and static friction in AP Physics 1, particularly on inclined planes with impending motion. Static friction adjusts its magnitude up to the maximum μ_s N to counteract forces tending to cause motion, such as the component of gravity down the incline. When the box is about to slide down, static friction is at its maximum and directed up the incline to oppose the impending downward motion. Kinetic friction would take over once sliding begins, with a constant magnitude μ_k N opposing the actual motion. Choice A is a distractor, as it incorrectly suggests friction points down the incline, which would accelerate rather than oppose the motion. For these problems, always resolve forces parallel and perpendicular to the surface and consider the direction that opposes potential or actual sliding.
Question 10
A 4kg box on a rough horizontal surface is pulled rightward and moves rightward at constant speed. The friction is kinetic; other forces are the pull, weight, and normal force. What must be true about the kinetic friction magnitude?
- It is zero because the speed is constant
- It equals the horizontal pulling force magnitude (correct answer)
- It equals mg
- It is greater than the maximum static friction
Explanation: This problem tests kinetic friction during constant velocity motion. When an object moves at constant speed, the net force is zero, requiring all forces to balance. The rightward pulling force must equal the leftward kinetic friction force for horizontal equilibrium. Kinetic friction has magnitude μₖN regardless of speed, and this value must equal the applied force for constant velocity. Choice A (zero) incorrectly assumes no friction during constant speed motion, which would cause acceleration. The strategy is: constant velocity requires zero net force, so kinetic friction magnitude must equal the applied force magnitude.
Question 11
A sled is pulled to the right across snow and is sliding at constant speed. Kinetic friction acts; other forces are weight, normal, and the pull. Which statement about the kinetic friction magnitude is correct?
- It must equal the pull’s horizontal component (correct answer)
- It must equal μsN because the sled is moving
- It must be greater than the pull to keep speed constant
- It must be zero because acceleration is zero
Explanation: This question tests understanding of kinetic friction at constant speed. When an object moves at constant velocity, the net force must be zero by Newton's first law. For horizontal motion, the horizontal component of the pull must exactly balance kinetic friction. Kinetic friction has magnitude μₖN regardless of speed, but this must equal the pull's horizontal component for equilibrium. Choice B incorrectly uses static friction coefficient, while C violates equilibrium conditions. At constant speed, kinetic friction magnitude equals the horizontal applied force.
Question 12
A block is sliding to the left on a rough floor while speeding up. Kinetic friction acts between block and floor; other forces are weight and normal. What is the direction of the kinetic friction force on the block?
- To the left, because friction opposes acceleration
- To the right, because friction opposes the motion (correct answer)
- To the left, because kinetic friction points with velocity when speeding up
- Undetermined without μk
Explanation: This question tests understanding of kinetic friction during acceleration. Kinetic friction always opposes the direction of sliding motion, regardless of whether the object accelerates or decelerates. Since the block slides left, kinetic friction points right, opposing this leftward motion. The block speeding up means there's a net leftward force, but kinetic friction still opposes motion by pointing right. Choice C incorrectly suggests friction direction depends on acceleration rather than velocity. Kinetic friction always points opposite to the sliding direction, independent of acceleration.
Question 13
A 2.0kg block rests on a horizontal table. A student pulls horizontally with 3.0N, and the block remains at rest. Static friction acts between block and table; other forces are weight and the normal force. What is the magnitude of the static friction force on the block?
- 0N
- 3.0N (correct answer)
- mg
- μsN
Explanation: This question tests understanding of static friction. When an object remains at rest despite an applied force, static friction adjusts to exactly balance that force. Since the block is in equilibrium with a 3.0 N pull to one direction, static friction must provide 3.0 N in the opposite direction to maintain zero net force. Static friction can vary from 0 up to μₛN, adjusting as needed to prevent motion. Choice A (0 N) incorrectly assumes no friction acts when at rest, while choices C and D give general expressions rather than the specific value. When an object is stationary under an applied force, static friction equals the applied force magnitude.
Question 14
A block on a rough horizontal floor is pulled to the right by a rope with tension T=10N. The block remains at rest. Static friction acts; other forces are weight and normal. What is the magnitude of the static friction force on the block?
- 10N (correct answer)
- 0N
- μsN (must equal the maximum)
- μkN (since friction always uses μk)
Explanation: This question tests understanding of static friction magnitude. When a block remains at rest under an applied force, static friction adjusts to exactly balance that force. With a 10 N pull to the right, static friction must be 10 N to the left for equilibrium. Static friction can range from 0 to μₛN, taking whatever value is needed to prevent motion. Choice C incorrectly assumes static friction always equals its maximum, while D confuses static with kinetic friction. For stationary objects, static friction equals the applied force magnitude, not necessarily its maximum value.
Question 15
A box is at rest on a rough horizontal surface. A horizontal force of 2N is applied to the right, and the box remains at rest. Static friction acts; other forces are weight and normal. What is the direction of the static friction force on the box?
- To the right, because friction always opposes motion
- To the left, opposing the tendency to move right (correct answer)
- Upward, to balance the normal force
- Downward, to balance the weight
Explanation: This question tests understanding of static friction direction. Static friction opposes the tendency to move, not actual motion. With a 2 N force applied to the right, the box tends to move right, so static friction acts to the left to prevent this motion. Static friction adjusts both magnitude and direction to maintain equilibrium. Choice A incorrectly applies the rule for kinetic friction to a stationary object. When a force tries to move a stationary object, static friction points opposite to the applied force direction.
Question 16
A crate is pushed across a level floor at constant speed to the right. Kinetic friction acts between crate and floor; other forces are weight, the normal force, and the applied push. What is the direction of the kinetic friction force on the crate?
- To the right, because friction opposes the applied push
- Upward, because friction balances weight
- To the left, opposite the direction of motion (correct answer)
- Downward, because friction increases the normal force
Explanation: This question tests understanding of kinetic friction direction. Kinetic friction always opposes the direction of sliding motion between surfaces. Since the crate moves to the right at constant speed, kinetic friction acts to the left, opposing this rightward motion. Unlike static friction which prevents motion, kinetic friction acts on moving objects with magnitude μₖN. Choice A incorrectly relates friction to the push rather than motion, while B and D confuse friction with vertical forces. When an object slides across a surface, kinetic friction points opposite to the velocity direction.
Question 17
A book rests on a rough horizontal desk. A student applies a 6N horizontal force to the right, and the book is still at rest but on the verge of slipping. Static friction acts; other forces are weight and normal. What is the magnitude of the static friction force at that moment?
- 0N
- 6N (correct answer)
- Greater than 6N
- μkN
Explanation: This question tests understanding of maximum static friction. When an object is on the verge of slipping, static friction reaches its maximum value μₛN. At this critical point, static friction exactly equals the applied force of 6 N to maintain equilibrium. Below this threshold, static friction adjusts to match applied forces; at the threshold, it cannot increase further. Choice C incorrectly suggests friction exceeds the applied force, which would cause acceleration. When an object is about to slip, static friction equals the applied force and has reached its maximum possible value.
Question 18
A book on a rough table is pulled horizontally with a force that gradually increases. Just before the book begins to move, the friction is static; other forces are weight and normal force. At that instant, the static friction magnitude is best described as
- zero because the book is not moving
- less than the applied pull
- equal to the applied pull (correct answer)
- greater than the applied pull
Explanation: This question assesses understanding of static friction in AP Physics 1, particularly at the threshold of motion. Static friction increases to match the applied force, up to its maximum of μ_s N, to maintain equilibrium. Kinetic friction takes over once motion starts, with a constant value of μ_k N opposing the sliding. Just before the book moves, static friction equals the applied pull to keep the net force zero. A common distractor is choice B, suggesting it's less than the pull, but that would cause acceleration rather than rest. A transferable strategy is to apply Newton's first law, ensuring all forces balance for stationary objects.
Question 19
A block is sliding down a rough incline. The friction is kinetic; other forces are gravity and the normal force. Which statement correctly describes the friction force on the block?
- It points down the incline because gravity points down
- It points up the incline because it opposes the sliding (correct answer)
- It is zero because the block is already moving
- It is larger than the maximum static friction
Explanation: This question assesses understanding of kinetic friction in AP Physics 1 on inclined planes. Static friction varies to match forces preventing motion, capped at μ_s N. Kinetic friction is constant at μ_k N and always opposes the direction of sliding velocity. As the block slides down, friction points up the incline to resist the downward motion. A common distractor is choice A, assuming it aligns with gravity, but friction always opposes relative motion, not gravity's direction. A transferable strategy is to resolve forces parallel and perpendicular to the surface and analyze net force for acceleration.
Question 20
A 2.0kg block rests on a rough horizontal table. A student pulls horizontally with a 6.0N force, and the block remains at rest. The friction is static; other forces are the block’s weight and the table’s normal force. What is the magnitude of the friction force on the block?
- 0N
- 6.0N (correct answer)
- Greater than 6.0N
- Equal to μsN
Explanation: This question assesses understanding of static friction in AP Physics 1, focusing on its role in preventing motion. Static friction adjusts its magnitude to exactly match the applied force, up to a maximum value given by μ_s times the normal force, to keep the object at rest. In contrast, kinetic friction acts with a constant magnitude of μ_k times the normal force when the object is sliding. Here, since the block remains at rest under a 6.0 N pull, the static friction force must equal 6.0 N to balance the applied force. A common distractor is choice C, suggesting it's greater than 6.0 N, but that would imply a net force preventing equilibrium. A transferable strategy is to always draw a free-body diagram and set the net force to zero for objects in equilibrium.