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?
Potential energy is stored in a spring as
Due to conservation of energy, we know that the energy before a reaction must be equal to the energy after it, or
Substituting in values we know already and rearranging to make
Using the suvat or uvats equation
and knowing that