Question

A ball with a mass of `50 g` is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of `16 (kg)/s^2` and was compressed by `2/5 m` when the ball was released. How high will the ball go?

Answer 1

2.56 m

Explanation:

Acoording to energy conservation,
`"gain in potential energy of the ball"="loss of energy stored in the compressed spring"`
thus,
`frac{1}2 xx k xx(x)^2= mxxgxxh`
or,`h=frac{16xx4}25` {on simplification}
`h` comes out to be 2.56 metres