(a) Explanation Consider a rocket initially moving with velocity v and having mass M + d m . The rocket engine burns rocket fuel with an exhaust speed of v e x , during the short amount of time d t , the rocket engine burns an amount of fuel d m . According to the law of conservation of momentum, p f = p i (I) Here, p i is the initial momentum and p f is the final momentum Write the initial momentum of the rocket and fuel. p i = ( M + d m ) v (II) Here, M is the mass of the rocket, d m is the rocket engine burns an amount of fuel, and v is the speed of the rocket. After the amount of fuel is burned the rocket increases its velocity to v + d v and its mass decreases to m . Write the final momentum of the rocket and fuel (b) To determine The expression for rocket’s final velocity.

4th Edition

ISBN: 9780136780984

Author: Wolfson

Publisher: PEARSON

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Relativistic Energy and Momentum

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Chapter 9, Problem 83P

(a)

To determine

Prove that the conservation of momentum of the rocket.

(b)

To determine

The expression for rocket’s final velocity.

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Chapter 9, Problem 82P

Chapter 9, Problem 84P

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Chapter 9 Solutions

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