Question

A 2kg block is released 4m from a massless spring with a force constant K=100N/m that is aong a plane inlined at 30°. if the plane is frictionless , find the maximum compression of the spring.

Answer 1

$mgh\sin\alpha=\frac{kx^2}2,\implies$

$x=\sqrt{\frac{2mgh\sin\alpha}k}=0.89~m.$