How will the force of gravitational attraction between two bodies change if the distance between them is doubled?

Gravitational pull:

F = G * m1 * m2 / R², G is the gravitational constant, m1 is the mass of the first body, m2 is the mass of the second body, R is the distance between the bodies.

The force of gravitational attraction of bodies until the distance increases:

F1 = G * m1 * m2 / R1².

The force of gravitational attraction of bodies after increasing the distance by 2 times:

F2 = G * m1 * m2 / R2², where R2 = 2 R1.

F2 / F1 = (G * m1 * m2 / R2²) / (G * m1 * m2 / R1²) = R1² / R2² = R1² / (2R1) ² = 1/4.

Answer: The force of attraction will decrease by 4 times.



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