The kinetic energy of a rocket is increased by a factor of eight after its engines are fired, whereas its total mass is reduced by half through the burning of fuel. By what factor is the magnitude of its momentum changed?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 8OQ: The kinetic energy of an object is increased by a factor of 4. By what factor is the magnitude of...
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The kinetic energy of a rocket is increased by a factor
of eight after its engines are fired, whereas its total mass
is reduced by half through the burning of fuel. By what
factor is the magnitude of its momentum changed?
Hint: Use KE=p^2/2m. (a) 2 (b) 8 (c) 4 (d) 16 (e) 1

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