A toy gun a spring of force constant `k`. When changed before being triggered in the upward direction, the spring is compressed by a distance `x`. If the mass of the shot is `m`, on the being triggered it will go up to a height of

Options

A. `(2mg)/(kx^(2))`
B. `(kx^(2))/(mg)`
C. `(kx)/(mg)`
D. `(kx^(2))/(2mg)`

Answer

D

Explanation

Stored potential energy in gun spring pushes the shot up to height .h. and shot acquires gravitational potential energy .
`1/2 kx^(2) =mgh`
`h = (kx^(2))/(2mg)`