if the mass and radius of the earth are 7.4 *10^22 kg and 1740km respectively than show that the value of acceleration in moon due to gravity is 1/6 that the earth
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On the surface of the moon, the distance to the center of mass is the same as the radius: r=1.74×10
6
m=17,40,000 m. The acceleration due to gravity on the surface of the moon can be found using the formula:
g= r 2 GM
g= 17400000(6.673×10 −11 )(7.4×10 22 )The acceleration due to gravity on the surface ofthe moon is 1.620 ms 2.
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