Calculate the gravitational force of the Earth and Moon. The Earth has a mass of 5.972x 1024 kg and the Moon has a mass of 7.348

Question

2 years ago

15

x 1022 kg. They are an average of 384 million meters apart.

2 answers:

Wewaii [24] · Answer 1 · 2023-07-10T05:49:32+03:00

The gravitational force is 1.98×10^20 m.

Computation of gravitational force:

The gravitational force F between two masses is given by the formula,

F=Gm1m2/ r^2

where G is the gravitational constant.

Note: It is assumed m1=5.972×10^24 kg, m2=7.348×10^22 kg and r=3.84×10^8 m and G=6.67×10^(-11) N m^2 kg^-2

Then F=(6.67×10^(-11)×5.972×10^(24)×7.348×10^(22))/ (3.84×10^8)

F=1.98×10^(20) N

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Len [333] · Answer 2 · 2023-07-10T07:35:02+03:00

Answer:

The force of gravitation is 1.98×10^(20) m.

Explanation:

Note: The value of m1, m2, r, and G is taken to be 5.97×10^(24) kg, 7.348×10^(22) kg, 3.84×10^(8) m, and 6.67×10^(-11) N m^2/ kg^2 respectively.

The force of gravitation F acting between two masses is calculated using the formula,

F=Gm1m2/ r^2

where G is the gravitational constant.

Hence force F is

F=6.67×10^(-11)×5.97×10^(24)×7.348×10^(22)/ (3.84×10^(8))^2

F=1.98×10^(20) N

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