# Consider the Earth-Moon system. Construct a problem in

## Problem 42PE Chapter 10

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 42PE

Consider the Earth-Moon system. Construct a problem in which you calculate the total angular momentum of the system including the spins of the Earth and the Moon on their axes and the orbital angular momentum of the Earth-Moon system in its nearly monthly rotation. Calculate what happens to the Moon’s orbital radius if the Earth’s rotation decreases due to tidal drag. Among the things to be considered are the amount by which the Earth’s rotation slows and the fact that the Moon will continue to have one side always facing the Earth.

Step-by-Step Solution:

Step-by-step solution Step 1 of 8 The moon has been going away from the earth at the rate of for previous . It means that the moon was further away in 2015 than it was in 1835. Find the gain in angular momentum of the moon by increasing its orbit . What is the effect of tidal drag Step 2 of 8 The formula to find the angular momentum of the moon is, …… (1) Step 3 of 8 The formula to find the velocity of the moon is, …… (2) Here is the orbital radius of moon, is the gravitational force between the moon and the earth, is the mass of the moon and is the tangential velocity of the moon. Step 4 of 8 The gravitation force between the earth and the moon is, …… (3) Here is mass of the earth.

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