How will the force of gravitational attraction between two balls change if the distance between

univerkov | September 25, 2021 | education

How will the force of gravitational attraction between two balls change if the distance between them is reduced by 2 times?

Let F be the force of attraction of two balls at a distance of R, and F1 – the force of attraction of the same balls at a distance of R1 = R / 2. Then:

F1 / F = (G * m1 * m2 / R ^ 2) / (G * m1 * m2 / (R / 2) ^ 2) = 4 * G * m1 * m2 * R / (G * m1 * m2 * R ) = 4.

Answer: the force of attraction between them will increase by 4 times.

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