Item 16 The weight w (in pounds) of an object varies inversely with the square of the distance d (in miles) of the object from the center of Earth. At sea level (3978 miles from the center of Earth), an astronaut weighs 210 pounds. How much does the astronaut weigh 200 miles above sea level

Question

Siena Benson

Physics

25 February, 16:28

Item 16 The weight w (in pounds) of an object varies inversely with the square of the distance d (in miles) of the object from the center of Earth. At sea level (3978 miles from the center of Earth), an astronaut weighs 210 pounds. How much does the astronaut weigh 200 miles above sea level

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Answers (1)

Know the Answer?

Darion Gilmore · Answer 1

190.3759 pounds

Explanation:

If the astronaut weighs 210 pounds when he is at a distance of 3978 miles from the Earth's center, then he will weigh

210 [3978 / (3978 + 200) ]² = 190.3759 pounds

at an altitude of 200 km.