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Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
26
Special Theory of Relativity
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26-4 and 26-5: Time Dilation, Length Contraction
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26-7: Relativistic Momentum
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26-9: Mass and Energy
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26-10: Relativistic Addition of Velocities
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Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 43
Q

Two identical particles of mass mm approach each other at equal and opposite speeds, vv. The collision is completely inelastic and results in a single particle at rest. What is the mass of the new particle? How much energy was lost in the collision? How much kinetic energy was lost in this collision?

A
M=2m1−v2c2M = \dfrac{2m}{\sqrt{1-\dfrac{v^2}{c^2}}}
no energy is lost.
KElost=2mc2(11−v2c2−1)\textrm{KE}_{lost} = 2mc^2 \left ( \dfrac{1}{\sqrt{1-\dfrac{v^2}{c^2}}} - 1 \right )
Giancoli 7th Edition, Chapter 26, Problem 43 solution video poster
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