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Question

# Compare the gravitational forces exerted by the sun and the moon on earth. Which exerts a greater force on earth ? (Given : mass of sun, Ms = 4∗1031 kg; mass of moon, Mm = 6.3∗1022 kg; distance between sun and earth, Rse=1.3∗1012 m and the distance between moon and earth, Rme= 4.5∗108m)

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Solution

## . If mass of sun is Ms and mass of earth is Me and distance between the sun and earth is rse, then force exerted by the sun on earth is Fs=GMsMer2se -(1) Similarly, if mass of moon is Mm, mass of earth is Me, the distance between moon and earth is rme, then force exerted by moon on the earth is Fm=GMmMer2me...(2) Dividing equation (1) by equation (2), we get FsFm =GMsMer2se ∗r2meGMmMe = MsMm ∗rme2rse2 = 4∗10316.3∗1022 x (4.5∗1081.3∗1012)2 = 76.07 The force exerted by the sun on earth is about 76 times the force exerted by the moon on earth.

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