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Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 41e
Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 41e

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# Energy from the Moon Suppose that some time in the future ISBN: 9780321675460 31

## Solution for problem 41E Chapter 9

University Physics | 13th Edition

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Problem 41E

Energy from the Moon?? Suppose that some time in the future we decide to tap the moon’s rotational energy for use on earth. In additional to the astronomical data in Appendix F, you may need to know that the moon spins on its axis once every 27.3 days. Assume that the moon is uniform throughout. (a) How much total energy could we get from the moon’s rotation? (b) The world presently uses about 4.0 × 1020 J of energy per year. If in the future the world uses five times as much energy yearly, for how many years would the moon’s rotation provide us energy? In light of your answer, does this seem like a cost-effective energy source in which to invest?

Step-by-Step Solution:

Solution 41E Step 1 of 5: Here we shall consider the moon as hard solid sphere with mass m= 7.35× 10 kg with 6 radius R= 1.74× 10 m performing d=1 revolution in dt= 27.3 days, we need to calculate the resultant kinetic energy due to the motion of moon. In order to calculate the kinetic energy we need to calculate angular speed and moment of inertia. Given data, Mass of moon, m= 7.35× 10 kg22 Radius of moon orbit, R= 1.74× 10 m Angular displacement, d=1 rev Using 1 rev= 2 rad d=2 rad Time taken, dt = 27.3 days Using 1 day= 24 ×60×60 dt = 27.3×24 ×60×60 sec dt= 2358720 sec

Step 2 of 5

Step 3 of 5

##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 41E from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 41E from 9 chapter was answered, more than 832 students have viewed the full step-by-step answer. The answer to “Energy from the Moon?? Suppose that some time in the future we decide to tap the moon’s rotational energy for use on earth. In additional to the astronomical data in Appendix F, you may need to know that the moon spins on its axis once every 27.3 days. Assume that the moon is uniform throughout. (a) How much total energy could we get from the moon’s rotation? (b) The world presently uses about 4.0 × 1020 J of energy per year. If in the future the world uses five times as much energy yearly, for how many years would the moon’s rotation provide us energy? In light of your answer, does this seem like a cost-effective energy source in which to invest?” is broken down into a number of easy to follow steps, and 122 words. This full solution covers the following key subjects: Energy, moon, uses, world, much. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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