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

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Solution

According to the universal law of gravitation, gravitational force exerted on an object of mass m is given by:

Where,

Mass of Earth, M = 6 × 10²⁴ kg

Mass of object, m = 1 kg

Universal gravitational constant, G = 6.7 × 10⁻¹¹ Nm² kg⁻²

Since the object is on the surface of the Earth, r = radius of the Earth (R)

r = R = 6.4 × 10⁶ m

Gravitational force,

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