Astronauts who landed on the moon during the Apollo 15, 16, and 17 missions brought back a large collection of rocks to the earth. The rocks weighed 154 lb when they were on the moon. The acceleration due to gravity on the moon is 5.30 ft/s2.

Question

Engineering

Hadassah

1 March, 09:32

Astronauts who landed on the moon during the Apollo 15, 16, and 17 missions brought back a large collection of rocks to the earth. The rocks weighed 154 lb when they were on the moon. The acceleration due to gravity on the moon is 5.30 ft/s2.

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Answers (1)

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Mayra Key · Answer 1

Answer: a) W (earth) = 935.62 lbs

b) Mass of rocks in slugs = 29.06 slugs

Explanation:

a) From Newton's law, W = mg. Whether on the moon or on earth. Although, the mass of the rocks everywhere is the same, that is, mass of rocks on the moon = mass of rocks on earth.

W (moon) = mg (moon)

W (moon) = 154 lbs

g (moon) = 5.30 ft/s2

m = W (moon) / g (moon) = 154/5.3 = 29.06 lb. s2/ft

W (earth) = m g (earth)

g (earth) = 32.2 ft/s2

W (earth) = 29.06 * 32.2 = 935.62 lbs.

b) A slug = 1 lb. s2/ft, therefore the mass of the rocks in slugs is 29.06 slugs.

QED!