The mass of the Earth is approximately 5.98 xx 1024 kg, and the mass of the Moon is approximately 7.35 xx 1022 kg. The Moon and the Earth are separated by about 3.84 xx 108 m. (a) What is the magnitude of the gravitational force that the Moon exerts on the Earth? In N b) If Serena is on the Moon and her mass is 39.7 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 xx 106 m. In N

Dillan Valenzuela

Dillan Valenzuela

Open question

2022-08-19

The mass of the Earth is approximately 5.98 × 1024 k g, and the mass of the Moon is approximately 7.35 × 1022 k g. The Moon and the Earth are separated by about 7.35 × 1022 k g.
(a) What is the magnitude of the gravitational force that the Moon exerts on the Earth? ln N
b) If Serena is on the Moon and her mass is 39.7 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 × 106 m. ln N

Answer & Explanation

Alejandra Blackwell

Alejandra Blackwell

Beginner2022-08-20Added 14 answers

a)
The magnitude of gravitational force that the exerts on the earth is,
F = G M m r 2 = ( 6.67 × 10 11 N m 2 / k g 2 ) ( 5.98 × 10 24 k g ) ( 7.35 × 10 22 k g ) ( 3.84 × 10 8 m ) 2 = 1.98 × 10 20 N
b)
The magnitude of gravitational force on Serena by the moon is,
F = G M m r 2 = ( 6.67 × 10 11 N m 2 / k g 2 ) ( 39.7 k g ) ( 7.35 × 10 22 k g ) ( 1.74 × 10 6 m ) 2 = 64.3 N

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