A balloon of mass M lifts a small rock of mass m from its resting position on the ground to an altitude H by exerting 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 it goes from ground level to H. (c) Find the speed of the rock at altitude H.
A balloon of mass M lifts a small rock of mass m from its resting position on the ground to an altitude H by exerting 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 it goes from ground level to H. (c) Find the speed of the rock at altitude H.
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Transcribed Image Text:A balloon of mass M lifts a small rock of mass m from its resting position on the ground to an altitude H by
exerting 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 it
goes 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 energy
to show that the speed at which the rock strikes the ground is sqrt(2HFo/m)| Explain why is
it ok to use conservation of energy here.
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