Newton's Third Law
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AP Physics 1 › Newton's Third Law
A 0.30 kg puck slides and collides with a stationary 0.50 kg puck on nearly frictionless ice; they are in contact briefly before separating. During contact, puck 1 exerts a force on puck 2 and puck 2 exerts a force on puck 1. How do the magnitudes of these forces compare?
The forces are unequal because only puck 2 experiences a net force at first.
Puck 2 exerts a greater force because it has greater mass.
Puck 1 exerts a greater force because it was moving initially.
They are equal in magnitude and opposite in direction.
Explanation
This question tests Newton's third law of motion. During the collision, the pucks exert forces on each other that are equal in magnitude and opposite in direction—puck 1 pushes on puck 2, and puck 2 pushes back on puck 1 with exactly the same magnitude of force. These interaction forces act on different objects and remain equal throughout the contact time. The fact that puck 1 was initially moving while puck 2 was stationary, or that they have different masses, doesn't affect this fundamental relationship. Choice D incorrectly suggests that initial motion states affect the interaction forces, confusing net force with interaction forces. Remember that Newton's third law applies to all interactions—the forces between any two objects are always equal in magnitude and opposite in direction.
A student pulls a sled with a rope across level snow at constant speed. The rope exerts a force on the sled, and the sled exerts a force on the rope. At an instant while the sled is moving, how do these interaction forces compare in magnitude?
They are equal in magnitude and opposite in direction.
They are equal only if the sled’s acceleration is zero.
The rope’s force on the sled is greater because the sled is moving forward.
The sled’s force on the rope is greater because the sled is more massive.
Explanation
This question tests Newton's third law of motion. When the rope and sled interact, they exert forces on each other that are equal in magnitude and opposite in direction. The rope pulls forward on the sled, and the sled pulls backward on the rope with exactly the same magnitude of force. These interaction forces act on different objects and remain equal whether the sled is accelerating, moving at constant speed, or at rest. Choice D incorrectly suggests that the forces are only equal when acceleration is zero, confusing interaction forces with net force. Remember that Newton's third law applies to all interactions at all times—interaction forces are always equal in magnitude and opposite in direction.
A 1200 kg car is being towed at constant speed by a truck using a taut rope on a level road. Focus on the interaction between the rope and the car (at the attachment point). Which statement correctly compares the forces?
The forces are equal only if the car’s net force is zero; otherwise the rope’s force must be larger.
The car pulls harder on the rope because it resists motion due to inertia.
The rope pulls on the car with the same magnitude force that the car pulls on the rope, in opposite directions.
The rope pulls harder on the car than the car pulls on the rope because the car has larger mass.
Explanation
This question examines Newton's third law in tension forces during towing. Per Newton's third law, the force one object exerts on another is matched by an equal and opposite force from the second object. The rope pulls on the car with the same magnitude as the car pulls back on the rope, but in the opposite direction. These forces are on different objects—the rope and the car—and remain equal even at constant speed. Choice B incorrectly links force magnitude to mass, but third-law pairs are independent of mass differences. To generalize, always pair forces between two objects and verify equality before considering overall system dynamics like acceleration.
A person stands on a bathroom scale in an elevator. The person’s feet push down on the scale, and the scale pushes up on the person. At a given instant (regardless of whether the elevator is speeding up or slowing down), how do these two forces compare in magnitude?
The scale’s force on the person is greater when the elevator is moving upward.
The forces are equal in magnitude and opposite in direction.
The person’s force on the scale is always greater because of gravity.
The larger force is the one acting in the direction of the elevator’s motion.
Explanation
This question tests Newton's third law of motion. The person's feet and the scale form an interaction pair—the feet push down on the scale, and the scale pushes up on the feet with a force equal in magnitude and opposite in direction. These forces act on different objects (one on the scale, one on the person) and are always equal at any given instant. Whether the elevator is accelerating upward, downward, or moving at constant velocity doesn't change this fundamental relationship between the interaction forces. Choice A incorrectly confuses the magnitude of these interaction forces with the scale reading, which can vary with acceleration. Remember that Newton's third law applies to all interactions—the forces between two objects are always equal in magnitude.
A magnet attracts a nearby iron nail, and the nail simultaneously attracts the magnet. While the two objects are pulling on each other across a small air gap, how do the magnitudes of the magnetic force on the nail and on the magnet compare?
The nail’s force on the magnet is greater because iron is attracted to magnets.
The magnet’s force on the nail is greater because the magnet is the source.
The larger force is on whichever object is moving toward the other.
They are equal in magnitude and opposite in direction.
Explanation
This question tests Newton's third law of motion. The magnet and nail form an interaction pair where the magnet pulls on the nail and the nail pulls back on the magnet with forces that are equal in magnitude and opposite in direction. These magnetic forces act on different objects and obey Newton's third law just like contact forces do. Even though the magnet might seem like the "source" of the attraction, both objects participate equally in the interaction. Choice A incorrectly suggests that being the source makes the magnet's force greater, but interaction forces are always mutual and equal. To apply Newton's third law correctly, remember it applies to all types of forces—gravitational, electromagnetic, and contact forces all produce equal and opposite interaction pairs.
A magnet attracts a nearby iron nail, and the nail simultaneously attracts the magnet. While the two objects are pulling on each other across a small air gap, how do the magnitudes of the magnetic force on the nail and on the magnet compare?
They are equal in magnitude and opposite in direction.
The larger force is on whichever object is moving toward the other.
The nail’s force on the magnet is greater because iron is attracted to magnets.
The magnet’s force on the nail is greater because the magnet is the source.
Explanation
This question tests Newton's third law of motion. The magnet and nail form an interaction pair where the magnet pulls on the nail and the nail pulls back on the magnet with forces that are equal in magnitude and opposite in direction. These magnetic forces act on different objects and obey Newton's third law just like contact forces do. Even though the magnet might seem like the "source" of the attraction, both objects participate equally in the interaction. Choice A incorrectly suggests that being the source makes the magnet's force greater, but interaction forces are always mutual and equal. To apply Newton's third law correctly, remember it applies to all types of forces—gravitational, electromagnetic, and contact forces all produce equal and opposite interaction pairs.
Two students on frictionless carts push off each other with their hands. Student A has mass 50 kg and Student B has mass 80 kg. During the push, A exerts a force on B and B exerts a force on A. How do the magnitudes of these forces compare?
A exerts a greater force because A has smaller mass.
B exerts a greater force because B has larger mass.
The larger force is on the cart that ends up with the larger speed.
They are equal in magnitude and opposite in direction.
Explanation
This question tests Newton's third law of motion. When the students push off each other, they form an interaction pair—Student A pushes on Student B, and Student B pushes back on Student A with a force equal in magnitude and opposite in direction. These forces act on different objects and are equal despite the 30 kg mass difference between the students. The different masses will result in different accelerations (the lighter student will accelerate more), but the forces remain equal. Choice B incorrectly suggests that greater mass creates a greater force, confusing the effect of mass on acceleration with the interaction forces themselves. Remember that Newton's third law applies universally—interaction forces are always equal in magnitude regardless of mass differences.
A 0.060 kg tennis ball hits a racket and is in contact with the strings for 0.005 s. During contact, the ball exerts a force on the racket and the racket exerts a force on the ball. How do the magnitudes of these forces compare while they are in contact?
They are equal only if the racket is not accelerating.
The ball exerts a greater force because it is moving faster.
The racket exerts a greater force because it is connected to the player’s arm.
They are equal in magnitude and opposite in direction.
Explanation
This question tests Newton's third law of motion. During the 0.005 s contact, the ball and racket exert forces on each other that are equal in magnitude and opposite in direction. The ball pushes on the racket strings, and the strings push back on the ball with exactly the same magnitude of force. These interaction forces act on different objects—one on the ball, one on the racket. Choice B incorrectly suggests that the ball's speed affects the relative magnitudes of these forces, but Newton's third law states that interaction forces are always equal regardless of the objects' velocities or accelerations. To correctly identify interaction pairs, remember that the forces always have equal magnitudes and act on different objects in the pair.
Two students on frictionless carts push off each other with their hands. Student A has mass 50 kg and Student B has mass 80 kg. During the push, A exerts a force on B and B exerts a force on A. How do the magnitudes of these forces compare?
The larger force is on the cart that ends up with the larger speed.
They are equal in magnitude and opposite in direction.
A exerts a greater force because A has smaller mass.
B exerts a greater force because B has larger mass.
Explanation
This question tests Newton's third law of motion. When the students push off each other, they form an interaction pair—Student A pushes on Student B, and Student B pushes back on Student A with a force equal in magnitude and opposite in direction. These forces act on different objects and are equal despite the 30 kg mass difference between the students. The different masses will result in different accelerations (the lighter student will accelerate more), but the forces remain equal. Choice B incorrectly suggests that greater mass creates a greater force, confusing the effect of mass on acceleration with the interaction forces themselves. Remember that Newton's third law applies universally—interaction forces are always equal in magnitude regardless of mass differences.
A magnet attracts a steel paperclip while both are held at rest a few centimeters apart by separate supports. Comparing the magnetic force on the paperclip and the magnetic force on the magnet, which is correct?
The paperclip exerts a larger force because it is made of steel.
The magnet exerts a larger force because magnets are the source of magnetic fields.
Both forces are zero because the magnet and paperclip are not touching.
The forces are equal in magnitude and opposite in direction.
Explanation
This question tests understanding of Newton's third law for non-contact forces. The magnet exerts an attractive magnetic force on the paperclip, and simultaneously the paperclip exerts an equal magnitude attractive force back on the magnet. These interaction forces are always equal in magnitude and opposite in direction, even though they act at a distance without physical contact. The forces act on different objects: the magnet's force acts on the paperclip, while the paperclip's force acts on the magnet. Choice A incorrectly assumes the magnet exerts a larger force because it's the "source" of magnetism, but Newton's third law applies equally to all interactions. Remember that Newton's third law applies to all forces, whether contact or non-contact.