A body intially at rest is falling under gravity. When it loses a gravitational potential energy by `U`, its speed is `V`.The mass of the body shall be `:`

Options

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

Answer

C

Explanation

(c ) Applying conservation of mechanical energy we have,
`(1)/(2)mv^(2)=U" or "m=(2U)/(v^(2)`