SOLUTION: 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 wei
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Question 1029305: 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 216 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. Answer by ikleyn(52787) (Show Source):
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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 216 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.
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From the condition, you have this proportion:
= ,
where = 216 pounds is the astronaut weight on the surface of the Earth and is the astronaut weight 200 miles above the Earth.
Substitute your data into the proportion. You will get
= .
Hence,
= = 195.92 pounds.
