Kinetic and Static Friction
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AP Physics 1 › Kinetic and Static Friction
A $2.0,\text{kg}$ block rests on a horizontal table. A student pulls it with a $6,\text{N}$ 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?
$\mu_s N$
$mg$
$0,\text{N}$
$6,\text{N}$
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).
A block on a rough horizontal surface is pushed to the right with $4,\text{N}$ 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 $\mu_s N$
It is greater than $4,\text{N}$
It equals $4,\text{N}$
It is less than $4,\text{N}$
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.
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 right
To the left
Upward
Downward
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.
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?
Zero, because the cart is already moving
Rightward, because kinetic friction is greater than static friction
Rightward, because it opposes the cart’s slowing down
Leftward, because it opposes the cart’s motion
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.
A $2.0,\text{kg}$ block rests on a horizontal table. A student pulls it with a $6.0,\text{N}$ force to the right, and the block remains at rest. The friction is static; other forces are weight and the table’s normal force. What is the magnitude of the frictional force on the block?
Greater than $6.0,\text{N}$
Equal to $\mu_s N$
$6.0,\text{N}$
$0,\text{N}$
Explanation
This question tests the concept of kinetic and static friction in AP Physics 1, specifically how static friction acts on a stationary object. Static friction adjusts its magnitude to match the applied force up to a maximum value given by μ_s N, where μ_s is the coefficient of static friction and N is the normal force. In this case, since the block remains at rest with a 6.0 N applied force, the static friction must exactly oppose and equal this force to keep the net force zero. Kinetic friction, on the other hand, is constant and equal to μ_k N once motion starts, but here the friction is static because there's no motion. A common distractor is choice C, which suggests friction is greater than 6.0 N, but this is incorrect as static friction only needs to equal the applied force for equilibrium, not exceed it. To solve similar problems, always draw a free-body diagram and apply Newton's first law for objects at rest or constant velocity.
A box is pushed on a rough floor with an $8,\text{N}$ horizontal force to the right and does not move. The friction is static; other forces are weight and normal force. Which quantity must equal $8,\text{N}$?
The static friction force magnitude
The weight $mg$
The normal force
The maximum possible static friction $\mu_s N$
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.
A book rests on a rough horizontal table. A student gently pulls it to the right with a $3.0,\text{N}$ force, and the book does not move. The friction is static; other forces are weight and normal force. Which statement about the static friction is correct?
It is $3.0,\text{N}$ to the right
It is $3.0,\text{N}$ to the left
It must equal $\mu_s N$ even though the book is not moving
It is greater than $3.0,\text{N}$ to keep the book at rest
Explanation
This question tests the concept of kinetic and static friction in AP Physics 1, dealing with equilibrium under a sub-maximal applied force. Static friction matches the applied force in magnitude but opposes it in direction, up to the limit of μ_s N, to maintain no motion. Since the book doesn't move with a 3.0 N pull to the right, static friction must be 3.0 N to the left for net force zero. Kinetic friction would only apply if motion started, with magnitude μ_k N. Choice D is a distractor, suggesting friction exceeds 3.0 N, but static friction equals the applied force when it's less than the maximum. Always use Newton's laws to balance forces in equilibrium and verify if friction is below or at its maximum for stationary objects.
A block is sliding to the right on a rough horizontal surface. The friction is kinetic; other forces are weight and normal force. Which statement correctly compares kinetic and static friction coefficients for the same surfaces?
$\mu_k$ is always equal to $\mu_s$
$\mu_k$ is always greater than $\mu_s$
$\mu_k$ can be found only if the block is at rest
$\mu_k$ is typically less than $\mu_s$
Explanation
This question tests the concept of kinetic and static friction in AP Physics 1, comparing their coefficients. Static friction can range from zero to μ_s N, providing a higher threshold to start motion than to maintain it. Kinetic friction is μ_k N, and for most surfaces, μ_k is less than μ_s, meaning it's easier to keep an object moving than to start it moving. This is because surface irregularities interlock more when stationary. Choice A is a distractor, reversing the typical relationship by claiming μ_k > μ_s, which is rarely true. To remember this, think of real-world examples like pushing a heavy box: more force to start than to continue sliding.
A $4.0,\text{kg}$ block on a rough level surface is pulled horizontally to the right with $12,\text{N}$ 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 less than $12,\text{N}$
It must equal $\mu_s N$
It must be $12,\text{N}$
It must be greater than $12,\text{N}$
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.
A box on a rough horizontal floor is pulled to the right with a force that is gradually increased. The box is about to move to the right. The friction is static; other forces are weight and normal force. What is the friction force direction?
To the right, because static friction points with impending motion
Zero, because the box has not started moving
Upward, because it opposes gravity
To the left, because it opposes impending motion
Explanation
This question tests the concept of kinetic and static friction in AP Physics 1, focusing on the direction at the onset of motion. Static friction adjusts up to μ_s N to oppose the tendency for relative motion, pointing against the direction of impending movement. As the pull to the right increases and the box is about to move right, static friction points to the left to resist that impending motion. Once motion begins, kinetic friction would oppose the actual rightward sliding. Choice A is a distractor, incorrectly stating friction points with impending motion, which confuses opposition with alignment. Remember to identify the direction of potential slip and set friction to counteract it for static cases.