# How will the force of universal gravity change if the mass of one of the interacting bodies decreases

June 30, 2021 | education

| **How will the force of universal gravity change if the mass of one of the interacting bodies decreases 6 times, and the distance between the centers decreases 2 times.**

m1 = 6 * m2.

R1 = 2 * R2.

Ftyag1 / Ftyag2 -?

The force of universal gravitation is determined by the formula: Ftyag = G * m * M / R ^ 2, where G is the gravitational constant, m, M are the masses of interacting bodies, R is the distance between interacting bodies.

Ftyag1 = G * m1 * M / R1 ^ 2 = G * 6 * m2 * M / (2 * R2) ^ 2 = 6 * G * m2 * M / 4 * R2 ^ 2 = 3 * G * m2 * M / 2 * R2 ^ 2

Ftyag2 = G * m2 * M / R2 ^ 2.

Ftyag1 / Ftyag2 = 3 * G * m2 * M / 2 * R2 ^ 2: G * m2 * M / R2 ^ 2 = 3/2 = 1.5.

Answer: the force of interaction will decrease by 1.5 times: Ftyag1 / Ftyag2 = 1.5.

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