Question

how should we reduce the distance between two bodies so that force of gravitation becomes half?

Answer 1

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