Weight of an astronaut. The weight W of an object varies inversely as the square of the distance d from the center of the earth at sea level which is 3978 miles from the center of the earth an astronaut weighs 137 pounds find her way when she is 395 miles above the surface of the earth and the spacecraft is not in motion

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Sosa

Mathematics

5 May, 10:56

Weight of an astronaut. The weight W of an object varies inversely as the square of the distance d from the center of the earth at sea level which is 3978 miles from the center of the earth an astronaut weighs 137 pounds find her way when she is 395 miles above the surface of the earth and the spacecraft is not in motion

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Greyson · Answer 1

W = K*1/d²

W (1) = K*1/d (1) ², 137 = K*1 / (3978) ²

W (2) = K*1/d (2) ², W (2) = K*1 / (3978+395) ², W (2) = K*1 / (4373) ²

137 = K*1 / (3978) ² we are going to divide by W (2) = K*1 / (4373) ²

137/W (2) = (K*1 / (3978) ²) / (K*1 / (4373) ²)

137/W (2) = (1 / (3978) ²) / (1 / (4373) ²)

137/W (2) = ((4373) ² / (3978) ²)

W (2) = (137 * (3978) ²) / (4373) ²

W (2) = 113 pounds