Question

Example 41. A ball of mass m is dropped from a height
on a platform fixed at the top of a vertical spring, as shown in
Fig. 6.31. The platform is depressed by a distance x. What is
the spring constant k ?​

Answer 1

Answer:K=2Mg(h+x)/x(square)

Explanation:

You can solve using work energy concept

Work done by gravity+ work done by spring =change in kinitic energy

Mg(h+x)-1/2kx(square)=0

Note energy stored in spring is (-1/2kx(square)) and change in kE is zero from question

So

Mg(h+x)=1/2kx(square)

K=2Mg(h+x)/x(square)