Figure shows a smooth curved track terminating in a smooth horizontal part. A spring of sprng constant 400 N/m is asttached at one end ot a wedge fixed rigidly with the horizontal part. A 40 g mas is released from rest at a height of 4.9 m n the curved track. Find the maximumcompression of the spring.

Options

A. 10m
B. 0.1 cm
C. 1 m
D. 0.01 m

Answer

B

Explanation

Let spring be compressed upto a compression x then, from energy conservation, mgh = `1/2kx^(2)`
`10 xx 10^(-3) xx 10 xx 10 = 1/2 xx 200 xx x^(2)`
`rArr x^(2) = 10 xx 10^(-3) = 10^(-2)`
`rArr x = sqrt(1/10) = 1/10m = 0.1m`
Thus, compression in the spring is 0.1m