# How many times will the force of gravity between two bodies change if the mass of the first body is reduced by 30%

January 25, 2021 | education

| **How many times will the force of gravity between two bodies change if the mass of the first body is reduced by 30%, and the second is increased by 50% with the same distance between them.**

To calculate the change in the force of gravity between the indicated bodies, we use the relation: k = Fк / Fн = (G * mк1 * mк2 / r ^ 2) / (G * mн1 * mн2 / r ^ 2) = mк1 * mк2 / (mн1 * mн2 ).

Ratio of variables: mк1 (final mass of the first body) = 0.7mн1 (initial mass of the first body); mk2 (final mass of the second body) = 1.5mn2 (initial mass of the second body).

Calculation: k = mk1 * mk2 / (mn1 * mn2) = 0.7mn1 * 1.5mn2 / (mn1 * mn2) = 0.7 * 1.5 = 1.05 p.

Answer: The force of gravity between the indicated bodies will increase by 1.05 times.

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