(a) Explanation Consider the earth as a sphere and it is spinning on its axis. Write the expression for kinetic energy for the earth as. K E = 1 2 I ω 2 (I) Here, K E is the kinetic energy of earth, I is the moment of inertia of the earth and ω is the angular speed of the earth. Write the expression for moment of inertia of the sphere. I = 2 5 M R 2 Here, M is the mass of earth as a sphere and R is the radius of earth as a sphere. Substitute 2 5 M R 2 for I in equation (I). K E = 1 2 ( 2 5 M R 2 ) ω 2 Simplify the above expression. K E = 1 5 M R 2 ω 2 (II) Conclusion: Substitute 5 (b) To determine The change in kinetic energy of the earth in one day as rotational kinetic energy of the Earth isdecreasing steadily.

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

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Chapter 10, Problem 76AP

(a)

To determine

The rotational kinetic energy of the Earth about its spin axis.

(b)

To determine

The change in kinetic energy of the earth in one day as rotational kinetic energy of the Earth isdecreasing steadily.

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Chapter 10, Problem 75AP

Chapter 10, Problem 77AP

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Physics for Scientists and Engineers with Modern Physics, Technology Update

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The rotational kinetic energy of the Earth about its spin axis.

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The change in kinetic energy of the earth in one day as rotational kinetic energy of the Earth isdecreasing steadily.

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Chapter 10 Solutions