Question

A 0.200 kg block on a vertical spring with spring constant of 4.50 ✕ 103 N/m is pushed downward, compressing the spring 0.074 m. When released, the block leaves the spring and travels upward vertically. How high does it rise above the point of release?

Answer 1

The elastic energy when the spring is compressed, is equal to the gravitational potential energy at the top of the flight:
\[\frac{ 1 }{ 2 }kx ^{2}=mgh\]

Rearrange for h.