How should we reduce the distance between two bodies so that force of

1.	How should we reduce the distance between two bodies so that force of gravitation becomes half?
Answer» Answer: We should reduce the distance by $\sqrt{2}$ TIMES the original distance. Explanation: As PER the LAW of gravitation, the FORCE Gravitational force bet ween 2 bodies is given by - F = $\frac{Gm_1 m_{2} }{r^{2} }$ Where , M1 and m2 are the masses of the 2 bodies and r is the distance between them. Now let the distance for which the F becomes 1/2 = $r^{'}$ A/C to question- $\frac{Gm_1 m_2}{r^'^{2}}$ = 1/2* $\frac{Gm_1*m_2}{r^{2} }$ Therefore r'= $\sqrt{2}$ r