# A ball with a mass of #160 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #24 (kg)/s^2# and was compressed by #3/4 m# when the ball was released. How high will the ball go?

##### 1 Answer

Jun 1, 2018

The height reached by the ball is

#### Explanation:

The spring constant is

The compression of the spring is

The potential energy stored in the spring is

This potential energy will be converted to kinetic energy when the spring is released and to potential energy of the ball

Let the height of the ball be

The acceleration due to gravity is

Then ,

The potential energy of the ball is

Mass of the ball is

The height reached by the ball is