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What is the reason for earth NOT moving towards the moon, even though moon attracts the earth?

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Important Questions on Gravitation

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The value of acceleration due to gravity is
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The earth's mass is 80 times that of moon and their diameters are 1600 km and 800 km, respectively. If g is the value of acceleration due to gravity on earth, what is its value on moon?
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Two planets are at distances R1 and R2 from the Sun. Their periods are T1 and T2. T1/T22 is equal to
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The velocity of escape on a planet whose radius is 1.7×106 m and acceleration due to gravity is 1.7 m/s2 is