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Question
Multiple Choice Question. Select the correct option.
The mass of earth is 6 × 1024 kg and radius of earth is 6.4 × 106 m. The magnitude of force between the mass of 1 kg and the earth is:
Options
9.770 N
9.810 N
830 N
9.790 N
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Solution
9.770 N
Explanation:
Mass of earth = m1 = 6 × 1024 kg
Mass of the body = m2 = 1 kg
Radius of earth = r = 6.4 × 106 m
Universal gravitational constant = G = 6.67 × 10−11 Nm2 kg−2
Force = F = ?
F = `("G m"_1 "m"_2)/"r"^2=(6.67xx10^-11xx6xx10^24xx1)/(6.4xx10^6)^2`
= `(6.67xx6xx10^(-11-12+24))/(6.4xx6.4)`
F = `(6.67xx6xx10)/(6.4xx6.4)`
F = 9.770 N
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