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Concept explainers
(a)
Net force on the rocket during the first
(a)
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Answer to Problem 102P
Net force is
Explanation of Solution
Write the equation to find the net force on rocket.
Here
Conclusion
Substitute
Net force is
(b)
The force exerted by the burning fuel on the rocket.
(b)
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Answer to Problem 102P
The force is
Explanation of Solution
Write the equation to find the force exerted by the burning fuel on the rocket.
Here
Conclusion
Substitute
The force is
(c)
Distance travelled by the rocket.
(c)
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Answer to Problem 102P
Distance travelled is
Explanation of Solution
Write the equation to calculate the distance travelled by rocket during the burning time.
Here
Write the equation for the upward speed.
Write the equation for time taken to reduce the velocity from
Write the equation to calculate the distance travelled by the rocket during the free fall period.
Here
Write the equation for total distance travelled by the rocket.
Conclusion
Substitute
Substitute
Substitute
Substitute
Substitute
Distance travelled is
(d)
Time taken by the rocket to return to the ground after lift-off.
(d)
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Answer to Problem 102P
Time taken is
Explanation of Solution
Write the equation for time taken by the by the rocket to return to the ground to fall from rest from a height
Here the time taken by the rocket to fall from rest from height x is
Write the equation to find the time taken by the rocket to return to the ground after lift-off.
Here
Conclusion
Substitute
Substitute
(e)
Plot the velocity-time relation of rocket for the entire level from the launch to the return back to the ground.
(e)
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Answer to Problem 102P
The graph has been plotted.
Explanation of Solution
The velocity time relation of rocket for the entire travel from the launch to return back to the ground is shown in figure 1.
Conclusion
The graph has been plotted.
(f)
Net force on rocket after the complete usage of fuel.
(f)
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Answer to Problem 102P
The net force is
Explanation of Solution
Write the expression for the weight of the rocket.
Conclusion
Substitute
The net force is
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Chapter 4 Solutions
COLLEGE PHYSICS-CONNECT ACCESS
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