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A particle of mass 'm' is raised to a he...

A particle of mass 'm' is raised to a height `h = R` from the surface of earth. Find increase in potential energy. `R =` radius of earth. `g =` acceleration due to gravity on the surface of earth.

A

`(mgR)/2`

B

`2mgR`

C

`mgR`

D

`-mgR`

Text Solution

Verified by Experts

The correct Answer is:
A
`U_(g)=-(GM_(1)M_(2))/R`
`impliesU_(f)-U_(i)=-(GMm)/(2R)=(GMm)/R`
`/_\u=(GMm)/(2R)=(mgR)/2` (`:'g=(GM)/(R^(2))`)
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