There are two bodies of masses 100,000 kg and 1000 kg separated by a distance of 1 m. At what distance (in metre) from the smaller body, the intensity of gravitational field will be zero?

Question

Dr. Abubacker · Accepted Answer

(c) Let $x$ be the distance of point from the smaller body where gravitational intensity is zero.
$	herefore\ \frac{Gm_{1}}{(1 - x)^{2}} = \frac{Gm_{2}}{x^{2}}$
or $\frac{x}{1 - x} = \sqrt{\frac{m_{2}}{m_{1}}} = \sqrt{\frac{1000}{100,000}} = \frac{1}{10}$
or $10x = - x$
or $x = (1/11)m$

Q. There are two bodies of masses 100,000 kg and 1000 kg separated by a distance of 1 m. At what distance (in metre) from the smaller body, the intensity of gravitational field will be zero?

Explanation

Reviewed by Dr. Abubacker

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