Explanation Work Energy Theorem states that the change in kinetic energy during the particular time interval [ t 1 , t 2 ] is equal to the amount of work performed. W = Δ K E Where, W is the Work r Done And Δ K E is the change in the Kinetic Energy. Given: The rocket attains a maximum heightabove the earth. Formula: According to the Work-Energy Theorem, W = Δ K E Where, W is the Work Done And Δ K E is the change in the Kinetic Energy. Calculation: The amount of work done required to move the rocket a distance r from the surface of the earth is given as W o r k D o n e ( r ) = G M e m ( 1 R e + 1 r + R e ) When the rocket reaches its maximum height, the kinetic energy of the rocket is reduced, the amount of work done hence becomes zero. Thus, we have C h a n g e i n K i n e t i c E n e r g y = 1 2 m v ( t 2 ) 2 − 1 2 m v ( t 1 ) 2 C h a n g e i n K i n e t i c E n e r g y = 0 − 1 2 m v ( t 1 ) 2 C h a n g e i n K i n e t i c E n e r g y = ...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.5, Problem 41E

To determine

Find the initial velocity with which a rocket must be fired so that it attains a maximum height $r$ above the earth.

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Chapter 6.5, Problem 40E

Chapter 6.5, Problem 42E

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Find the initial velocity with which a rocket must be fired so that it attains a maximum height r above the earth.

Solution Summary: The author explains the Work-Energy Theorem, which states that the change in kinetic energy during the particular time interval is equal to the amount of work performed.

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Find the initial velocity with which a rocket must be fired so that it attains a maximum height $r$ above the earth.

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Chapter 6 Solutions