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------------------------------------------------ Someone weighs 200 pounds on the surface of the Earth. If the radius of the Earth is 4000 miles, how much would that person weigh 1000 miles above the surface?

A person who weighs 200 pounds on Earth's surface would weigh approximately 128 pounds 1000 miles above the surface because of the inverse square law of gravity.

Explanation:

The weight of an object decreases with distance from the center of the Earth due to the inverse square law of gravity. This law states that the force of gravity is proportional to 1 divided by the square of the distance from the center of the mass causing the gravity. If the person is 1000 miles above the Earth (5000 miles from the center of the Earth), the force of gravity would be (4000/5000)^2 = 0.64 times the gravity at the surface of the Earth. Therefore, the person would weigh 0.64 times 200lbs, which is

128 pounds

.

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