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Classical Mechanics

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Hill Climbing

CLMECH-S1A0SB

The drawing below shows four different hills, all of the same height $h$ and all paved with the same surface.

M.Hawks. Created for Albert.io. Copyright 2016. All rights reserved

Which of the statements below is true regarding the work done to push a mass up each hill at constant velocity? Select ALL that apply.

A

If the mass is sliding with friction, then hill (b) takes the least work to climb.

B

If the mass is sliding with friction, then hill (b) takes the most work to climb.

C

If the mass is rolling without friction, then hill (d) takes the least work to climb.

D

If the mass is rolling without friction, then hill (d) takes the most work to climb.

E

It takes the same amount of work to go up all hills, regardless of friction.

F

It takes the same amount of work to go up all hills only if we ignore friction.