How will the force of attraction between bodies change if the distance between them is reduced by 4 times?
| April 2, 2021 | education
The force of attraction of bodies:
F = G * m1 * m2 / r², G – gravitational constant, m1, m2 – masses of interacting bodies, R – distance between bodies.
The force of mutual attraction of bodies before changing the distance between bodies:
F1 = G * m1 * m2 / r1².
The force of mutual attraction of bodies after decreasing the distance by 4 times:
F2 = G * m1 * m2 / r2², where r2 = 1/4 r1.
F2 / F1 = (G * m1 * m2 / r2²) / (G * m1 * m2 / r1²) = r1² / r2² = r1² / (1/4 r1) ² = 16.
Answer: The force of attraction between bodies will increase 16 times.
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