(A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 ✕ 1024 kg and its moon, with mass 2.35 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m.  (B) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.)m/s2  (C) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)m/s2

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Asked Nov 5, 2019
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(A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 ✕ 1024 kg and its moon, with mass 2.35 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m.
 
 
(B) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.)
m/s2
 
 
(C) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)
m/s
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Expert Answer

Step 1

(a) The magnitude of gravitational force is given by,

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m = mass of planet Gm m F = 2 = mass of moon r-distance between their centers (6.67x10(7.75x10 kg)(2.35x102 kg) (2.20x108 m' F = - 2.51x1020 N

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Step 2

(b) The Moons acceleration toward...

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from newtons law F ma Gm,m = m a m т,а Gm а- 6.67x10 1(7.75 x 1024 kg) (2.20x10 m) -0.0107 m/s2

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