(a) Explanation Given info: The mass of the Sun is M S , the radius of the sphere is R g and the rest energy is m c 2 . Consider the sun-mass system is isolated so the energy required to remove a mass m from the sun’s surface to infinity is equals to the change in potential energy of the system. The kinetic energy of the system is zero. The work done or energy required to remove the mass is, W = Δ E = m c 2 Here, c is the speed of light . The initial potential energy of the system is, U i = − G M S m R g Here, G is the gravitational constant. The final potential energy of the system is also zero. The energy of the system is, Δ E = Δ K + Δ U = 0 + ( U f − U i ) < (b) To determine The numerical value of the radius of the sphere.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Relativistic Energy and Momentum

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Chapter 39, Problem 39.81AP

(a)

To determine

To show: The radius of the sphere is given by GMSc2 .

(b)

To determine

The numerical value of the radius of the sphere.

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Chapter 39, Problem 39.80AP

Chapter 39, Problem 39.82AP

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Physics for Scientists and Engineers, Technology Update (No access codes included)

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The radius of the sphere is given by G M S c 2 .

Solution Summary: The author explains that the energy required to remove a mass from the sun’s surface to infinity is equal to the change in potential energy of the system.

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To show: The radius of the sphere is given by GMSc2 .

The numerical value of the radius of the sphere.

Want to see the full answer?

Chapter 39 Solutions