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A body of mass m was slowly pulled up th...

A body of mass m was slowly pulled up the hill by a force F which at each point was directed along the tangent of the trajectory. All surfaces aresmooth. Find the work performed by this force.

A

`mgl`

B

`-mgl`

C

`mgh`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
`W_("net") = Delta K`
As the body is moving slowly, this means `Delta K=0`
`W_(N) + W_(F) + W_(mg) = Delta K`
But `W_(N) = 0` as `overset(to)(N) bot d overset(to)(r )`
`0+W_(F) -mgh=0`
`W_(F )=mgh`
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