The coefficients of static and kinetic friction between a 522 Ncrate and the warehouse floor are 0.715 and 0.420, respectively. Aworker gradually increases his horizontal push against this crateuntil it just begins to move and from then on maintains that samemaximum push.

-What is the acceleration of the crate after it has begun to move?Start with a free-body diagram of the crate.

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5.29 - A 45.0-kg crate of tools rests on a horizontal floor. You exert a gradually increasing horizontal push on it, and the crate just begins to move when your force exceeds 313 N. Then you must reduce your push to 208 N to keep it moving at a steady 25.0 cm/s. (a) What are the coefficients of static and kinetic fric- tion between the crate and the floor? (b) What push must you exert to give it an acceleration of 1.10 m/s2? (C) Suppose you were per- forming the same experiment on the moon, where the acceleration due to gravity is 1.62 m/s. 1) What magnitude push would cause it to move? (ii) What would its acceleration be if you maintained the push in part (b)?

A crate of 33.5-kg tools rests on a horizontal floor. You exert agradually increasing horizontal push on it and observe that thecrate just begins to move when your force exceeds 332 N. After thatyou must reduce your push to 215 N to keep it moving at a steady21.0 cm/s.

Part C - What push must you exert to give it an acceleration of1.00 ?

215 N + (33.5 kg) * (1.0 m/s2) = 248.5 N

Part D - Suppose you were performing the same experiment on thiscrate but were doing it on the moon instead, where the accelerationdue to gravity is 1.62 . What magnitude push would cause it tomove?

(33.5kg) (1.01 coefficient of static friction) * (1.62 moongravity) = 54.8 N

Part E - What would its acceleration be if you maintained the pushin part C?

How do I solve part E? Thanks

A block of mass m lies on a horizontal table. The coefficient of static friction between the block and the table is μ_s. The coefficient of kinetic friction is μ_k, with μ_k<μ_s.

Part A

If the block is at rest (and the only forces acting on the block are the force due to gravity and the normal force from the table), what is the magnitude of the force due to friction?

Part B

Suppose you want to move the block, but you want to push it with the least force possible to get it moving. With what force F must you be pushing the block just before the block begins to move?

Express the magnitude of F in terms of some or all the variables μ_s,μ_k, and m, as well as the acceleration due to gravity g.

Part C

Suppose you push horizontally with half the force needed to just make the block move. What is the magnitude of the friction force?

Express your answer in terms of some or all of the variables μ_s, μ_k, and m, as well as the acceleration due to gravity g.

Part D

Suppose you push horizontally with precisely enough force to make the block start to move, and you continue to apply the same amount of force even after it starts moving. Find the acceleration a of the block after it begins to move.

Express your answer in terms of some or all of the variables μ_s, μ_k, and m, as well as the acceleration due to gravity g.

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