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

Answer

A

Explanation

`U_(i)+0=U_(f)+1/2 mv^(2)`
`U_(i)-U_(f)=1/2 mv^(2)`
`U=1/2 mv^(2)`
`m=(2U)/(v^(2))`