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Question

Whatis the magnitude of the gravitational force between the earth and a 1kg object on its surface? (Mass of the earth is 6 × 1024kg and radius of the earth is 6.4 ×106m).

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Solution

Accordingto the universal law of gravitation,gravitational force exerted on an object of mass mis given by:

Where,

Massof Earth, M =6 ×1024kg

Massof object, m =1 kg

Universalgravitational constant, G = 6.7 ×10−11Nm2kg−2

Sincethe object is on the surface of the Earth,r = radiusof the Earth (R)

r= R = 6.4×106 m

Gravitationalforce,


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