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The moon has a mass of 7.348 X 1022 kg and is 384.4 X 105 km from the Earth, which has a mass of 5.972 X 1024 kg. Solve for the force of gravity between the Earth and Moon. (ans: 1.98 X 1016 N) Show work.

Question

The moon has a mass of 7.348 X 1022 kg and is 384.4 X 105 km from the Earth, which has a mass of 5.972 X 1024 kg. Solve for the force of gravity between the Earth and Moon. (ans: 1.98 X 1016 N) Show work. 

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Step 1

Let mm be the mass of moon, me be the mass of earth, r be the distance between earth and moon, and G be the gravitational constant.

Write the given values of question.

m7.348 x1022 kg
m = 5.972 x 1024 kg
r 384.4x10 km
= 384.4x 108 m
G 6.67x 101
m's^kg1
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Image Transcriptionclose

m7.348 x1022 kg m = 5.972 x 1024 kg r 384.4x10 km = 384.4x 108 m G 6.67x 101 m's^kg1

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Step 2

Write the expression for the gravitational force betwe...

e
(7.348x 102 kg ) (5.972 x 104 kg
6.67x101 m's2kg°
(384.4x10 m
-1.98 x1016 kgms2
1.98 x 1016 N
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Image Transcriptionclose

e (7.348x 102 kg ) (5.972 x 104 kg 6.67x101 m's2kg° (384.4x10 m -1.98 x1016 kgms2 1.98 x 1016 N

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