# A ball with a mass of #256 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #32 (kg)/s^2# and was compressed by #12/4 m# when the ball was released. How high will the ball go?

##### 1 Answer

#### Explanation:

Potential energy is stored in a spring as

where

Due to conservation of energy, we know that the energy before a reaction must be equal to the energy after it, or

because

Substituting in values we know already and rearranging to make

Using the *suvat* or *uvats* equation

and knowing that