A small mass 'm' is sliding down on a smooth curved incline form a height 'h' and finally moves through a horizontal smooth surface. A light spring of force constant `K` is fixed with a vertical rigid stand on the horizontal surface, as shown in the figure. Find the value for the maximum compression in the spring if mass 'm' is released from rest from height 'h' and hits the spring in the horizontal surface.
.

Explanation

Conservation of energy b/w positions A and C
`(PE_(A)_(block) + KE _(A) = (PE_(c))_(spring) + KE_(c)`
`mgh + 0 = 1/2 Kx^(2) + 0 , mgh`
`= 1/2 Kx^(2), x = sqrt(2mgh)/(K)`