First slide

Gravitational force and laws

Question

The distance of the centres of moon and earth is D. The mass of earth is 81 times the mass of the moon. At what distance from the centre of the earth, the gravitational force will be zero

Moderate

A

$\frac{D}{2}$
B

$\frac{2 D}{3}$
C

$\frac{4 D}{3}$
D

$\frac{9 D}{10}$

Solution

Force will be zero at the point of zero intensity
$x = \frac{\sqrt{m_{1}}}{\sqrt{m_{1}} + \sqrt{m_{2}}} d = \frac{\sqrt{81 M}}{\sqrt{81 M} + \sqrt{M}} D = \frac{9}{10} D .$

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