A body is falling under gravity . When it loses a gravitational potential energy `U`, its speed is`v`. The mass of the body shell be

Options

A. `U^(2)/2v`
B. `2v/U`
C. `2v/U^(2)`
D. `2U/v^(2)`

Answer

`(4)`

Explanation

Gain in KE = loss in `PE = U`
`therefore U = 1/2 mv^(2)`
`therefore m = (2u)/v^(2)`