Explanation Write the expression for kinetic energy. K = ( γ − 1 ) m c 2 (I) Here, E is the kinetic energy, γ is the Lorentz factor, m is the mass, and c is the velocity of light. Write the expression for Lorentz factor. γ = 1 1 − v 2 c 2 (II) Here, v is the velocity of the particle. Write the expression for rest mass energy. E 0 = m c 2 (III) Here, E 0 is the rest mass energy. Given that, the kinetic energy is equal to the rest energy. Equate equation (I), and (III). ( γ − 1 ) m c 2 = m c 2 γ − 1 = 1 γ = 2 (IV) Use equation (II) in (IV)

Physics for Scientists and Engineers with Modern Physics

4th Edition

ISBN: 9780131495081

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience …

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Chapter 36, Problem 47P

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The speed of the particle when its kinetic energy is equal to the rest energy.

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Chapter 36, Problem 46P

Chapter 36, Problem 48P

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Chapter 36 Solutions

Physics for Scientists and Engineers with Modern Physics

Ch. 36.4 - Examine the experiment of Fig. 366 from O1s...Ch. 36.5 - What is the muons mean lifetime (Example 361) if...Ch. 36.5 - A certain atomic clock keeps perfect time on...Ch. 36.6 - Prob. 1DE Ch. 36.8 - Use Eqs. 367 to calculate the speed of rocket 2 in...Ch. 36.8 - A rocket is headed away from Earth at a speed of...Ch. 36.11 - A proton is traveling in an accelerator with a...Ch. 36.11 - For 1% accuracy, does an electron with K = 100 eV...Ch. 36 - You are in a windowless car in an exceptionally...Ch. 36 - You might have had the experience of being at a...

Ch. 36 - Prob. 3Q Ch. 36 - Does the Earth really go around the Sun? Or is it...Ch. 36 - If you were on a spaceship traveling at 0.5c away...Ch. 36 - The time dilation effect is sometimes expressed as...Ch. 36 - Does time dilation mean that time actually passes...Ch. 36 - Prob. 8Q Ch. 36 - If you were traveling away from Earth at speed...Ch. 36 - Do time dilation and length contraction occur at...Ch. 36 - Suppose the speed of light were infinite. 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The speed of the particle when its kinetic energy is equal to the rest energy.

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The speed of the particle when its kinetic energy is equal to the rest energy.

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Chapter 36 Solutions