How many times will the force of mutual attraction of two balls increase if the mass of each increases by 3 times?

To assess the change in the force of mutual attraction of two taken balls, we use the formula: k = Fк / Fн = (G * mк1 * mк2 / r2) / (G * mn1 * mn2 / r2) = mк1 * mк2 / (mn1 * mn2).

Variable ratios: mк1 (final mass of the first ball) = 3mн1 (initial mass of the first ball); mk2 (final mass of the second ball) = 3mn2 (initial mass of the second ball).

Calculation: k = mk1 * mk2 / (mn1 * mn2) = 3mn1 * 3mn2 / (mn1 * mn2) = 9 p.

Answer: The force of mutual attraction of two taken balls will increase 9 times.



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