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?

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Answer 1 · 2017-03-26T23:02:10

1.17m high

#E_p = 1/2kx^2#:
#E_p=1/2(8)(3/5)=1.44J#
#E_p=E_g#, and #E_g=mgh; :. h=E_p/(mg)=(1.44)/(0.125*9.81)=1.17431192661=1.17m#