The figure shows a smooth curved track terminating in a smooth horizontal part. A spring of spring constant `400(N)//(m)` is attached at one end to a wedge fixed rigidly with the horizontal part . A 40 g mass is released from rest at a height of 5 m on the curved track. The maximum compression of the spring will be

Options

A. `10cm`
B. `2cm`
C. `3cm`
D. `4cm`

Answer

A

Explanation

`mgh=(1)/(2)kx^2`
`(40)/(1000)xx10xx5=(1)/(2)xx400x^2`
`x=(1)/(2)m=1cm`