How will the force of attraction between bodies change if the mass of one of the bodies is doubled

univerkov | December 11, 2020 | education

How will the force of attraction between bodies change if the mass of one of the bodies is doubled, and the distance between them is reduced by 4 times?

F = G * m1 * m2 / R square
If the mass of one is increased by 2 times, then the formula will look like:
F = G * 2m1 * m2 / R square
Reduce the distance by 4 times:
F = G * 2m1 * m2 / (R / 4) square
Let’s transform:
F = G * 2m1 * m2 * 16 / R square
F = G * m1 * m2 * 32 / R square
F = G * m1 * m2 / R square is the formula of the original strength, and even multiplied by 32
F increased 32 times

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