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

| September 28, 2021 | education

How will the force of attraction between two balls change if the distance between them is halved and the mass of each is increased by 4?

According to the law of universal gravitation, the force of mutual attraction F, which arises between two bodies, is directly proportional to the masses of interacting bodies m1, m2 and inversely proportional to the square of the distance between them R: F = G * m1 * m2 / R2, where G is the proportionality coefficient, gravitational constant.

m3 = 4 * m1.

m4 = 4 * m2.

R2 = R1 / 2.

F2 / F1 -?

F1 = G * m1 * m2 / R12.

F2 = G * m3 * m4 / R22 = G * 4 * m1 * 4 * m2 / (R1 / 2) 2 = 16 * G * m1 * m2 * 4 / R2 = 64 * G * m1 * m2 / R2 = 64 * F1.

Answer: the force of mutual attraction between the bodies will increase 64 times: F2 / F1 = 64.



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