Q. Two bodies of masses 2kg and 8kg are separated by a distance of 9 m. the point where the resultant gravitational field intensity is zero is at a distance of

A) 4.5 m from each mass
B) 6 m from 2 kg
C) 6 m from 8 kg
D) 2.5 m from 2 kg
Explanation

(c) If $x$ is the distance of point on the line joining the two masses from mass $m_{2}'$ where gravitational field intensity is zero, then
$\frac{Gm}{(r - x)^{2}} = \frac{Gm_{2}}{x^{2}}$ or $\frac{2}{(9 - x)^{2}} = \frac{8}{x^{2}}$
or $\frac{1}{9 - x} = \frac{2}{x}$
On solving, $x = 6m$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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