After a collision with an ideal spring , a body of mass 8g , moving with a constant velocity of `10 cm *s^(-1)` comes to rest. Force constant of the spring is `200 dyn *cm ^(-1)`. If the total kinetic energy of the body is spent in compressing the spring , find the compression.

Explanation

Here , the kinetic energy of the body transforms into the potential energy of the spring .
`therefore 1/2 mv^2 =1/2 kx^2 ,` where x= compression of the spring
`therefore x=sqrt((mv^2)/(k)) =sqrt((8xx10^2)/(200)) =2 cm `.