Can a centripital force ever do work on an object

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Please this is a Gordon Rule question derived from 7th or 8thedition of general physics by James and susan Walker

a) can a centripital force ever do work on an object? .please explain in great detail.
b) why is it easier to climb a steep mountain via a zigzagtrail (switchbacks) than to climb straight up?
c) how could a small force ever exert a greate torque than alarger force? . please explain in detail.
d) explain how conservation of angular momentum applies to anice skater spinning on the ice.

Reference no: EM13647594

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