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Question

# Define gravitational mass. The mass of the earth is 6×1024 kg and that of the moon is 7.4×1022 kg. If the distance between the earth and the moon be 3.84×105 km, calculate the force exerted by the earth on the moon. (G=6.7×10−11 Nm2kg−2) [3 MARKS]

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Solution

## Definition: 1 Mark Problem: 2 Mark 1. The gravitational mass of the body is that property of an object which attracts another object by the gravitational force. 2. The force exerted by one body on another body is given by the Newton's formula: F=G×m1×m2r2 Here, Gravitational constant, G=6.7×10−11 Nm2kg−2) Mass of the earth, m1=6×1024kg Mass of the moon, m2=7.4×1022kg And, Distance between the earth and moon, r=3.84×105km =3.84×105×1000m =3.84×108m Putting these values in the above formula, we get: F=6.7×10−11×6×1024×7.4×1022(3.84×108)2 F=2.01×1020 N Thus, the gravitational force exerted by the earth on the moon is 2.01×1020 N. And this is an extremely large force. It is this extremely large gravitational force exerted by the earth on the moon which makes the moon revolve around the earth.

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