The gravitational force between two objects is F.

Question:

The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitation force would become

(a) $F / 4$

(b) $F / 2$

(c) $F$

(d) $2 \mathrm{~F}$

Solution:

(a) $\mathrm{F}=\frac{\mathrm{G} m_{1} m_{2}}{r^{2}}, \mathrm{~F}^{\prime}=\frac{\mathrm{G}\left(m_{1} / 2\right)\left(m_{2} / 2\right)}{r^{2}}=\frac{\mathrm{F}}{4} .$

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