How much work would be needed to raise the payload from the surface of the moon (i. e., x = r) to the "end of the universe"?

Question

Mitchell

Physics

2 June, 01:40

How much work would be needed to raise the payload from the surface of the moon (i. e., x = r) to the "end of the universe"?

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Answers (2)

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Tatum Rowe · Answer 1

W (3R) - W (2R) = - PR² (1 / (3R) - 1 / (2R)) = PR/6

Explanation:

"Assume the weight move up at constant speed. With no net acceleration, the force applied is - (weight). Since the weight at height R is - P (R/x) ² (minusbecause it's directed downward) the applied lifting force is P (R/x) ², and the work done moving from x to x+dx is dW = P (R/x) ² dx. Intetgrate this:"

W (x) = ? PR²/x² dx = - PR²/x + C

The work done moving from x=R to x=2R is:

W (2R) - W (R) = - PR² (1 / (2R) - 1/R) = PR/2

(b) The work done moving from 2R to 3R is:

W (3R) - W (2R) = - PR² (1 / (3R) - 1 / (2R)) = PR/6

Hana Mercer · Answer 2

Moon was rotation Earth or sun

it's own orbit. universe is not end