How will the force of attraction between two bodies change if the distance between them is increased by 3 times?
| August 8, 2021 | education
The force of attraction of bodies to each other:
F = G * m1 * m2 / R², where G is the gravitational constant, m1, m2 are the masses of bodies, R is the distance between bodies.
The force of mutual attraction of bodies before changing the distance between them:
F1 = G * m1 * m2 / R1².
The force of mutual attraction of bodies before changing the distance between them:
F2 = G * m1 * m2 / R2².
According to the conditions of the problem: R2 = 3R1.
F2 / F1 = (G * m1 * m2 / R2²) / (G * m1 * m2 / R1²) = R1² / R2² = R1² / (3R1) ² = 1/9.
Answer: The force of attraction will decrease by 9 times.
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