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If an object of mass m is taken from the...

If an object of mass `m` is taken from the surface of earth (radius R) to a height 5R, then the work done is

A

`2mgR`

B

`mgR`

C

`(5)/(6)mgR`

D

`(3)/(2)mgR`

Text Solution

Verified by Experts

The correct Answer is:
C
Work done, `W=DeltaU=(mgh)/(1+((h)/(R)))`
Substituting `R=(h)/(5)`, we get
`DeltaU=(mgxx5R)/(1+5)=(5mgR)/(6)`.
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