Consider the Universal law of gravitation,
According to that law, the force of attraction between two bodies is
F = \( \frac{(Gm_1m_2)}{r^2}\)
Where,
m1 and m2 are the masses of the two bodies.
G is the gravitational constant.
r is the distance between the two bodies.
Given that the distance is reduced to half then,
r = 1/2 r
Therefore,
F = \( \frac{(Gm_1m_2)}{r^2}\)
F= \( \frac{(Gm_1m_2)}{(r/2)^2}\)
F = \( \frac{(4Gm_1m_2)}{r^2}\)
F = 4F
Therefore once the space between the objects is reduced to half, then the force of gravitation will increase by fourfold the first force.
Answered by Shivani Kumari | 2 years ago
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