A body of mass m at rest is subjected to a constant force F for time. The kinetic energy at timet is given by :

Options

A. `F^2 t^2 //2m`
B. `F^2 t^2 //3m`
C. `2F^2 t^2 //m`
D. `F^2 t^2 //m`

Answer

a

Explanation

Energy of body `E=(p^2)/(2m)`
Now `Deltap="impulse"=F.t`.
`DeltaE=(Deltap^2)/(2m)=(P^2t^2)/(2m)`.