# A ball with a mass of 125 g is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of 8 (kg)/s^2 and was compressed by 3/5 m when the ball was released. How high will the ball go?

${E}_{p} = \frac{1}{2} k {x}^{2}$:
${E}_{p} = \frac{1}{2} \left(8\right) \left(\frac{3}{5}\right) = 1.44 J$
${E}_{p} = {E}_{g}$, and E_g=mgh; :. h=E_p/(mg)=(1.44)/(0.125*9.81)=1.17431192661=1.17m