2 Cosmic Ray A cosmic-ray particle has been observed (indirectly) with an estimated energy of 16 J, or about 102⁰ eV.* Suppose this particle was a proton (me² ≈ 10⁹ eV). (a) What was the velocity of the proton relative to the earth? Warning! Most calculators do not carry around enough digits to give an answer other than u = c, but this is not the speed of the particle. Express your result in terms of the fractional difference between the velocity of the particle and the velocity of light: c=2=D=1-8 (b) The Milky Way is about 105 light years across. If a photon and this proton raced across the galaxy, by what distance would the photon win the race, as measured by an observer at rest with respect to the galaxy? (c) How long would it take the proton to cross our galaxy, as measured by a clock carried along with the proton?

2 Cosmic Ray A cosmic-ray particle has been observed (indirectly) with an estimated energy of 16 J, or about 102⁰ eV.* Suppose this particle was a proton (me² ≈ 10⁹ eV). (a) What was the velocity of the proton relative to the earth? Warning! Most calculators do not carry around enough digits to give an answer other than u = c, but this is not the speed of the particle. Express your result in terms of the fractional difference between the velocity of the particle and the velocity of light: c=2=D=1-8 (b) The Milky Way is about 105 light years across. If a photon and this proton raced across the galaxy, by what distance would the photon win the race, as measured by an observer at rest with respect to the galaxy? (c) How long would it take the proton to cross our galaxy, as measured by a clock carried along with the proton?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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 this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

2 Cosmic Ray
A cosmic-ray particle has been observed (indirectly) with an estimated energy of 16 J, or about 102⁰ eV.*
Suppose this particle was a proton (me² ≈ 10⁹ eV).
(a) What was the velocity of the proton relative to the earth?
Warning! Most calculators do not carry around enough digits to give an answer other than u = c, but this is
not the speed of the particle. Express your result in terms of the fractional difference between the velocity of the
particle and the velocity of light:
c=2=D=1-8
(b) The Milky Way is about 105 light years across. If a photon and this proton raced across the galaxy, by what distance
would the photon win the race, as measured by an observer at rest with respect to the galaxy?
(c) How long would it take the proton to cross our galaxy, as measured by a clock carried along with the proton?

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