what will happen to the gravitational force between two bodies if the distance between them is halved keeping their masses constant?
Answers
Answer:
when the distance between the 2 objects is halved, the gravitational force between the 2 objects is doubled.
Answer:
If the distance between the two bodies is halved, then the gravitational force between them is four times the original.
Explanation:
According to the universal law of gravitation
The gravitational force F between any two bodies of masses M and m is kept at a distance d from each other such that:
F = G frac{M m}{r^2}
Where,
m1 and m2 are the masses of the 2 bodies.
G is the gravitational constant.
r is the distance between the two bodies.
Given that the distance is reduced to half
r = 1/2 r
While the force between the two bodies is inversely proportional to the square of the distance between them which is given as:
F = G (m1 × m2) ÷ (r ÷ 2)²
F= 4G m1.m2 ÷ r²
Hence, when the distance is halved, the gravitational between these two bodies becomes four times
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