Gravitational force between two objects of mass 1 kg each is F. Initially, the distance
between them is d. If the distance between them is increased to 2d, then the gravitational
force between them becomes nF. Find the value of n.
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Given : Gravitational force between two objects of mass 1 kg each is F. Initially, the distance between them is d.
The distance between them is increased to 2d, then the gravitational force between them becomes nF.
To Find : the value of n
Solution:
F = Gm₁.m₂/r²
m₁ = m₂ = 1 kg
r = d
G = Gravitational constant
F = G(1)(1)/d²
=> F = G/d²
The distance between them is increased to 2d
nF = G(1)(1)/(2d)²
=> nF = G/4d²
=> nF = (1/4)( G/d²)
=> nF = (1/4)F
=> n = 1/4
the value of n is 1/4
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