Explanation Given data: Momentum of the proton is 3 × 10 − 19 kg ⋅ m/s . Formula used: Relativistic momentum of any particle is given by. p = m v 1 − ( v c ) 2 Here, p is the relativistic momentum, m is the mass of the particle, v is the speed of the particle and c is the speed of light in vacuum. Explanation: Consider speed of light to be equal to 3 × 10 8 m/s . Mass of the proton is 1.67 × 10 − 27 kg . Consider the expression for relativistic momentum of proton. p = m v 1 − ( v c ) 2 1 − ( v c ) 2 = m v p Square both sides. 1 − ( v c ) 2 = ( m v p ) 2 1 = ( m v p ) 2 + ( v c ) 2 1 = v 2 ( ( m p ) 2 + ( 1 c ) ) Rearrange the expression for v

College Physics: Explore And Apply, Volume 2 (2nd Edition)

2nd Edition

ISBN: 9780134862910

Author: Eugenia Etkina, Gorazd Planinsic, Alan Van Heuvelen, Gorzad Planinsic

Publisher: PEARSON

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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 26, Problem 32P

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The speed of proton if it has a momentum of 3×10−19 kg⋅m/s.

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Chapter 26, Problem 31P

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College Physics: Explore And Apply, Volume 2 (2nd Edition)

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