Answer to Question #139855 in Classical Mechanics for Etuk-Tabe Joseph

Question

A 50.0kg block is dropped on a spring from a point 10m above . If the force constant of the spring is 4.0×10^4N\m,find the maximum compression of the spring . (g=10m\s^2

Answer 1

Solution

According to theory in above question

We can write

$mgh=\frac{kx^2}{2}$

Where x is compression in spring.

$x=\sqrt{\frac{2mgh}{k}}$

Putting the value of m, g, h, k

$x=\sqrt{\frac{2\times50\times10\times10}{4\times10^4}}$

$x=0.5m$

Therefore compression in spring is 0.5m