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. `(Kx^2)/(mg)`
B. `(x^2)/(Kmg)`
C. `(Kx^2)/(2mg)`
D. `(K^2x^2)/(mg)`

Answer

C

Explanation

According to the law of conservation of energy, elastic potential energy stored in the spring = gravitational potential energy acquired by shot.
`1/2kx^2=mgh` or `h=(kx^2)/(2mg)`