A ball with a mass of #150 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #9 (kg)/s^2# and was compressed by #7/5 m# when the ball was released. How high will the ball go?

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Answer 1 · 2017-12-16T07:28:57

The height is #=6m#

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The spring constant is #k=9kgs^-2#

The compression is #x=7/5m#

The potential energy is

#PE=1/2*9*(7/5)^2=8.82J#

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

#KE_(ball)=1/2m u^2#

Let the height of the ball be #=h #

The sacceleration due to gravity is #g=9.8ms^-2#

Then ,

The potential energy of the ball is #PE_(ball)=mgh#

Mass of the ball is #m=0.15kg#

#PE_(ball)=8.82=0.15*9.8*h#

#h=8.82*1/(0.15*9.8)#

#=6m#

The height is #=6m#