Pessy P.

asked • 09/30/16

The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object to the center of the Earth.

The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an astronaut weighs 202 pounds on the surface of the Earth, what will this astronaut weigh 200 miles above the Earth? Assume that the radius of the Earth is 4000 miles.

1 Expert Answer

By:

Mark M. answered • 09/30/16

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Mathematics Teacher - NCLB Highly Qualified

Pessy P.

thank you!!! can you do this one for me?
If y is directly proportional to x2 and y = 365 when x = 15, find y if x = 10.
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09/30/16

Mark M.

Direct proportion:
 
y = kx2
y/x2 = k
 
365/152 = y/102
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09/30/16

Pessy P.

thanks tonz!!! how about this one? 
The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground). If an object fell 45 ft in 7 seconds, how far will it have fallen by the end of 8 seconds? (Leave the variation constant in fraction form or round to at least 2 decimal places. Round your final answer to the nearest foot.) 
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09/30/16

Mark M.

You have an opportunity to learn how to do these.
Use the model given above. Try it, then repost if you have questions
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09/30/16

Pessy P.

can you please just give me the answer?
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09/30/16

Mark M.

Yes, I can give you the solution. That would prevent you from learning the process. If you attempt to solve and post it I shall comment.
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09/30/16

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