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A man lifts a 13 kg crate directly upwards from the floor to a shelf (9 m high)

ID: 1285882 • Letter: A

Question

A man lifts a 13 kg crate directly upwards from the floor to a shelf (9 m high) at constant speed*.
(*Neglect the very start and very end of the lift, where the crate would of course need to be accelerated from/to rest.)

a.) What was the change in kinetic energy of the crate?
______ J

b.) What is the change in the potential energy of the crate?
_____ J

c.) Is mechanical energy conserved in this process?

yes or no?

yes or no?   


e.) If it takes 2 s for the man to lift the crate to the shelf, find the man's power output.
______ W

Explanation / Answer

Part A)

Since the velocity remains constant, Change in KE is Zero Joules

Part B)

Change in PE = mgh

PE = (13)(9.8)(9) = 1147 J

Part C)

Yes Mechanical Energy is conserved

Part D)

Yes, the force goes into work done that goes into PE

Part D)

P = Energy/t

P = 1147/2

P = 573 W

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