How to change the force of mutual attraction of two balls if the distance between them is doubled.
| February 10, 2021 | education
The force of mutual attraction of balls to each other:
F = G * m1 * m2 / R², where G is the gravitational constant, m1 is the mass of the first ball, m2 is the mass of the second ball, R is the distance between the balls.
The force of mutual attraction to the change in distance:
F1 = G * m1 * m2 / R1².
The force of mutual attraction after changing the distance:
F2 = G * m1 * m2 / R2².
R2 = 2R1.
F2 / F1 = (G * m1 * m2 / R2²) / (G * m1 * m2 / R1²) = R1² / R2² = R1² / (4R1) ² = 1/4.
Answer: The force of mutual attraction of the balls will decrease by 4 times.
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