The Earth\'s mass is 5.98 times 10^24 kg, and the Moon\'s mass is 7.35 times 10^

Question

The Earth's mass is 5.98 times 10^24 kg, and the Moon's mass is 7.35 times 10^22 kg. The average force of gravity exerted by the moon on the earth is 1.99 times 10^20 N. In what direction is this force on the earth? What is the average force of gravity exerted by the earth on the moon? (Force is a vector. Include direction in your answer.) This force of gravity exerted on the Moon due to the Earth is a centripetal force. What is the centripetal acceleration of the moon due to this force? (Acceleration is a vector. Think about what all should be included in your answer.)

Explanation / Answer

(a) The direction of the force exerted by the moon on the earth is towards the moon.

(b) The average force of gravity exerted by the earth on the moon = The average force of gravity exerted by the moon on the earth

The average force of gravity exerted by the earth on the moon = 1.99 x 1020 N

(c) a = F/m

a = (1.99 x 1020 N) / (7.35 x 1022 kg)

a = 0.0027 m/s2

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