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Question

A body weighs 25kg on the surface of the Earth. If the mass of the Earth is 6.0×1024kg, the radius of the Earth is 6.4×106m and the universal gravitational constant is 6.7×10-11Nm2/kg2, calculate the force acting upon the body and the Earth?


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Solution

Step 1: Given data

Mass of the body, m=25kg

Mass of the Earth, M=6.0×1024kg

Radius of the Earth, R=6.4×106m

Gravitational constant, G=6.7×10-11Nm2/kg2

Step 2: Calculating the force acting upon the body and the Earth

Mutual force of attraction between the body and the Earth, F=G×M×mR2

F=6.7×10-11Nm2/kg2×6.0×1024kg×25kg(6.4×106m)2F=245.15N

Hence, the force acting upon the body and the Earth is 245.15N.


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