Question 3: Part A: If the Moon were to suddenly come to rest so that it is no l

Question

Question 3:

Part A: If the Moon were to suddenly come to rest so that it is no longer revolving around the Earth, but everything else remained the same, what would happen to the Moon?

Part B: Suppose you drop a book. As the book is falling to the ground, which of the following statements is true?

D. Because the book is in free fall, there is no force between the Earth and book.

Part C: One of your classmates, Kevin, is trying to calculate the acceleration due to gravity at the top of Mt. Everest. Looking at an equation sheet, he sees that the acceleration due to gravity is g=GM/r^2. For G, he plugs in the gravitational constant. For M, he plugs in the mass of the Earth. For r, Kevin plugs in the elevation (the height above sea level) of Mt. Everest. Will Kevin arrive at the right answer for g at the top of Mt Everest?

A. The Moon would start accelerating toward the earth with an acceleration of 9.8 m/s2 B. The Moon would start traveling toward the Earth at a constant speed C. The Moon would remain at rest D. The Moon would start accelerating toward the earth with an acceleration more than 9.8 m/s2 E. The Moon would start accelerating toward the earth with an acceleration less than 9.8 m/s2

Explanation / Answer

( 3 )

When the Moon is stationary, it is influenced by Earth's graity and hence it would start accelerating toward the earth with an acceleration of 9.8 m/s2.

Thus, the correct option is ( A )

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( 4 )

In accordance with Newton's third law, every action has a equal and opposite reaction.

The magnitude of the force that the Earth exerts on the book is the same as the magnitude of the force that the book exerts on the Earth

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( 5 )

The gravity is inversely proportinal to height from the center. As radius of earth slightly increases at the mountains as compared to sea level, the calculated gravitaional accelaeration should be slightly less than the gravitaional acceleration at sea level.

Thus, the correct option is ( A )

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