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.
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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.
Expert Solution
Step 1: Given parameters
M= mass of the baloon
m= mass of the rock
Fo=upward force exerted by the baloon on the rock
H= altitude of the rock before dropping
To find: The speed with which the rock strikes the ground
Step by step
Solved in 3 steps with 4 images
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