Newton's First Law
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AP Physics 1 › Newton's First Law
A 0.20 kg ball falls straight downward at constant velocity through air. Earth exerts gravity downward; air exerts a resistive force upward. Which statement about the forces is correct?
Gravity is greater than air resistance because the ball is moving downward.
Air resistance is zero because the ball is not accelerating.
Gravity equals air resistance because the net force is zero.
Air resistance is greater than gravity because the ball has inertia.
Explanation
This question assesses understanding of Newton's First Law of Motion, explaining terminal velocity as constant velocity with zero net force. The ball falls downward at constant velocity, meaning its acceleration is zero. According to Newton's First Law, zero acceleration implies the net force is zero. The downward gravitational force equals the upward air resistance force. Choice A is incorrect because it embodies the misconception that motion requires the driving force (gravity) to be greater, but at constant velocity, forces balance. A transferable strategy is to recognize terminal velocity as a balance point and compare magnitudes of opposing forces like drag and weight.
A book rests on a horizontal table and remains at rest. The book interacts with Earth (gravity) and the table (contact). No other objects touch it, and air effects are negligible. Which claim about the forces on the book is correct?
The normal force must be greater than the weight to keep the book from sinking.
Gravity is balanced by a force of inertia, not by the table.
The book has no forces on it because it is not moving.
The table’s normal force on the book equals the book’s weight in magnitude.
Explanation
This question assesses understanding of Newton's First Law of Motion, which explains that an object at rest remains at rest unless acted upon by a net external force. The book is at rest on the table, so the net force on it must be zero. This means the downward gravitational force (weight) is exactly balanced by the upward normal force from the table. Since there is no motion, these vertical forces are equal in magnitude and opposite in direction, maintaining equilibrium. Choice B is incorrect because it embodies the misconception that no forces act on stationary objects, ignoring that balanced forces can keep an object at rest without motion. When approaching such problems, identify all forces acting on the object and verify that they sum to zero for cases of rest or constant velocity.
A 1.2 kg object hangs motionless from a vertical spring. The object interacts with Earth (gravity) and the spring (tension-like spring force). It remains at rest for several seconds. What can be concluded about the forces on the object?
Only gravity acts because the object is not moving.
The spring force upward must be greater than the weight to prevent motion.
The net force is downward because gravity is always unbalanced.
The spring force upward equals the weight downward.
Explanation
This question assesses understanding of Newton's First Law of Motion, which states that an object at rest stays at rest with zero net force. The object hangs motionless, so the net vertical force is zero. The downward weight is balanced by the upward spring force, keeping it in equilibrium. This balance prevents any acceleration or movement. Choice D is incorrect because it suggests the spring force must exceed the weight to prevent motion, misunderstanding that equal forces suffice for rest under Newton's First Law. A transferable approach is to identify equilibrium conditions and set opposing forces equal when there's no change in velocity.
A hockey puck slides on nearly frictionless ice at constant velocity $5.0\ \text{m/s}$ north. After it leaves the player’s stick, it continues without changing speed or direction; air resistance is negligible. Which statement about the net force on the puck is correct while it slides freely?
The net force is zero because the puck’s velocity is constant.
A net force acts south to oppose the puck’s motion.
The puck has a net force north equal to its momentum divided by time.
A net force acts north to maintain the puck’s northward motion.
Explanation
This question assesses understanding of Newton's First Law of Motion, which states that an object in uniform motion remains in that state without a net external force. The puck is sliding at a constant velocity of 5.0 m/s north, indicating zero net force acting on it. With negligible friction and air resistance, no unbalanced forces alter its motion, so it continues straight at constant speed. This demonstrates inertia, where the puck resists changes to its velocity. Choice A is wrong as it suggests a net force is needed to maintain motion, a common misconception that force is required for constant velocity rather than for acceleration. For similar scenarios, remember to equate constant velocity with zero net force and draw free-body diagrams to confirm balanced forces.
An elevator moves upward at constant speed $2.0\ \text{m/s}$. A passenger of mass $70\ \text{kg}$ stands on a scale inside. The passenger interacts with Earth (gravity) and the scale (normal force). Air effects are negligible. What does the scale read?
Greater than $70g\ \text{N}$ because the elevator is moving upward.
$70g\ \text{N}$ because the net force on the passenger is zero.
Zero because constant speed implies no forces act.
Less than $70g\ \text{N}$ because the elevator is moving upward.
Explanation
This question assesses understanding of Newton's First Law of Motion, which states that constant velocity means no net force acts on an object. The elevator moves upward at constant speed, so the net force on the passenger is zero. The downward weight (70g N) is balanced by the upward normal force from the scale, making them equal. This equilibrium holds regardless of the direction of motion, as long as velocity is constant. Choice B is incorrect because it reflects the misconception that motion upward requires a greater force than weight, but constant velocity needs no net force. To solve these, always recognize constant velocity as a sign of balanced forces and compare them directly without considering motion direction.
A crate is pushed across a horizontal floor at constant speed. The applied push is horizontal, kinetic friction acts opposite the motion, and the crate does not accelerate. Which statement about the net force on the crate is correct?
The net force equals the weight because gravity is the strongest force.
The net force points in the direction of motion because it is moving.
The net force equals the friction force because friction sets the motion.
The net force is zero because the acceleration is zero.
Explanation
This question assesses understanding of Newton's First Law of Motion, which links constant velocity to zero net force. The crate moves at constant speed, indicating no net force acts on it. The horizontal push balances the kinetic friction force, resulting in zero acceleration. All forces sum to zero, allowing steady motion. Choice A is incorrect as it claims net force aligns with motion direction, a misconception that force is required to maintain velocity instead of to change it. For these questions, use the strategy of confirming zero acceleration from constant speed and ensuring net force calculations reflect that balance.
A 0.50 kg block is pulled across a horizontal floor at constant speed by a rope that exerts a $4.0\ \text{N}$ force to the right. Kinetic friction acts to the left, and the block does not accelerate. What is the magnitude of the friction force on the block?
$8.0\ \text{N}$
$0\ \text{N}$
$2.0\ \text{N}$
$4.0\ \text{N}$
Explanation
This question assesses understanding of Newton's First Law of Motion, which implies that constant velocity results from zero net force. The block is pulled at constant speed, so the net horizontal force is zero. The 4.0 N force to the right must be exactly opposed by an equal friction force to the left, preventing acceleration. This balance ensures the block neither speeds up nor slows down. Choice D, suggesting 8.0 N, is incorrect and may stem from the misconception that force is needed to sustain motion beyond balancing friction, but no net force is required for constant velocity. A useful strategy is to set net force to zero for constant speed problems and solve for unknown forces by equating magnitudes of opposing pairs.
A student pushes a 4.0 kg crate across a level floor at constant velocity. The student’s push is horizontal; kinetic friction acts opposite the motion; Earth and the floor provide vertical forces. Which statement is correct?
The net force is zero because the horizontal forces balance and vertical forces balance.
The net force is in the direction of motion because the crate is moving.
The net force is zero only if friction is absent.
The net force equals the crate’s inertia, which keeps it moving.
Explanation
This question assesses understanding of Newton's First Law of Motion, which posits that objects move at constant velocity or stay at rest without a net force. The crate moves across the floor at constant velocity, indicating zero acceleration. Newton's First Law dictates that the net force must be zero for constant velocity. Horizontal forces (student's push and friction) balance, and vertical forces (gravity and normal) balance. Choice A is wrong due to the misconception that motion requires a net force in the direction of motion, but inertia sustains motion without net force. A transferable strategy is to use free-body diagrams to visualize and sum forces to zero in cases of constant velocity or rest.
An elevator moves upward at constant speed. The cable pulls up on the elevator and Earth pulls down. Which relationship between the cable tension $T$ and the weight $mg$ is correct?
$T=mg$, because the net force must be zero for constant velocity.
$T=0$, because the elevator would continue upward due to inertia.
$T<mg$, because gravity opposes the motion.
$T>mg$, because the elevator is moving upward.
Explanation
This question assesses understanding of Newton's First Law of Motion, highlighting that constant velocity requires no net force. The elevator moves upward at constant speed, so its vertical acceleration is zero. Per Newton's First Law, zero acceleration means the net vertical force is zero. The upward tension T balances the downward weight mg, so T = mg. Choice A is incorrect because it stems from the misconception that motion requires a greater force in the direction of motion, whereas constant velocity needs balanced forces. A transferable strategy is to identify constant speed scenarios and equate magnitudes of opposing forces to ensure net force is zero.
A 2.0 kg book rests on a horizontal table and remains at rest for 10 s. The book interacts with Earth (gravity) and the table (contact). Which statement about the net force on the book is correct?
The net force is downward because gravity acts continuously.
The net force is zero because the upward normal force equals the book’s weight.
The net force is zero only if no forces act on the book.
The net force is upward because the table pushes up on the book.
Explanation
This question assesses understanding of Newton's First Law of Motion, which states that an object at rest remains at rest unless acted upon by a net force. Since the book is at rest on the table, its velocity is zero and constant, implying that the acceleration is zero. According to Newton's First Law, zero acceleration means the net force on the book must be zero. The downward gravitational force (weight) is balanced by the upward normal force from the table, resulting in no net force. Choice A is incorrect because it reflects the misconception that motion (or in this case, the lack of falling) requires an unbalanced force in the direction of gravity, but actually, constant velocity—including zero velocity—requires zero net force. A transferable strategy is to identify if an object's velocity is constant (including zero); if yes, draw a free-body diagram to confirm that all forces balance to zero net force.