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Question
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 × 1024 kg and radius of the earth is 6.4 × 106 m).
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Solution
Mass of the earth (M) = 6 × 1024 kg
Radius of the Earth (R) = 6.4 × 106 m
Mass of the object (m) = 1kg
Universal constant (G) = `6.67 × 10^-11 (Nm)^2/(kg)^2`
We know that, F = `(GM_eM_(body))/r_e^2`
F = `(6.67×10^-11 × 6×10^24 × 1)/(6.4×10^6)^2`
This gives, F = 9.8 N
Hence the gravitational force between the object and the earth = 9.8 N.
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