A balloon of mass M lifts a small rock of mass m from its resting position on the ground to an altitude H byexerting a constant force Fo upward on the rock.(a) Draw a free-body diagram for the rock with an appropriate 1D coordinate system.(b) Use the integral definition for work to find the net work done on the rock as itgoes from ground level to H.(c) Find the speed of the rock at altitude H.(d) If the balloon and mass separate at altitude H, use conservation of mechanical energyto show that the speed at which the rock strikes the ground is sqrt(2HFo/m)| Explain why isit ok to use conservation of energy here.

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