How will the force of gravitational attraction between two bodies change if the distance between them is doubled?
April 27, 2021 | education
| 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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