SECOND ATTEMPT! A crate of 36.4-kg tools rests on a horizontal floor. You exert

Question

SECOND ATTEMPT! A crate of 36.4-kg tools rests on a horizontal floor. You exert a gradually increasing horizontal push on it and observe that the crate just begins to move when your force exceeds 312 N . After that you must reduce your push to 212 N to keep it moving at a steady 26.0 cm/s .

Part A

What is the coefficient of static friction between the crate and the floor?

Part B

What is the coefficient of kinetic friction between the crate and the floor?

Part C

What push must you exert to give it an acceleration of 1.25 m/s2 ?

Part D

Suppose you were performing the same experiment on this crate but were doing it on the moon instead, where the acceleration due to gravity is 1.62 m/s2. What magnitude push would cause it to move?

Part E

What would its acceleration be if you maintained the push in part C?

Explanation / Answer

part a )

u_s = F/mg = 312/36.4*9.8 = 0.8746

part b )

u_k = F/mg = 212/36.4*9.8 = 0.594

part c )

F- fk = ma

F = fk + ma

F = 212 + 36.4 * 1.25

F = 257.5 N

part d ) now mg = 58.968 N

F = maxfs = u_s * mg = 51.74 N

part e )

F = fk + ma

a = F-fk/m

a = [257.5 - (0.594 * 51.74) ] / 36.4

a = 6.23 m/s^2

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