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Question 387484: I'm really bad at word problems. Can someone please help me out:
The weight of an object varies inversely as the square of its distance from the center of the planet it is on. If a person weighs 180 pounds on a planet's surface, what is his weight 340 miles above the surface of the planet? The planet's radius is 5000 miles.
(Round to the nearest tenth as needed.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The weight of an object varies inversely as the square of its distance from the center of the planet it is on. If a person weighs 180 pounds on a planet's surface, what is his weight 340 miles above the surface of the planet? The planet's radius is 5000 miles.
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w = k/d^2
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Find "k" using the following:
If a person weighs 180 pounds on a planet's surface, The planet's radius is 5000 miles.
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180 = k/(5000)^2
k = 180*5000^2
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Equation for this problem:
wt. = (180*5000^2/d^2
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what is his weight 340 miles above the surface of the planet?
Solve:
wt = (180*5000^2)/(5340)^2
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wt = 157.81 lbs.
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Cheers,
Stan H.
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