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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,
read lessAnswer -
F = 9.77 N
Explanation -
# Given -
M = 6×10^24 kg
m = 1 kg
R = 6.4×10^6 m
# Solution -
Gravitational force between earth and the object is given by -
F = GMm/R²
F = 6.67×10^-11 × 6x10^24 × 1 / (6.4x10^6)²
F = 9.77 N
Therefore, gravitational force between the earth and an object is 9.77 N.
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