Question

PLEASE HELP ME (stop putting links ) Two objects m1 and m2, each with a mass of 5 kg and 6 kg separated by a distance. A third object m 3= 2 kg is placed between the two. The distance between m1, and m3, is( X) and the distance between m3, from m2, is (2X+1). If the gravitational force experienced by m3, Fg= 0. What is the distance of m3, from m1, and the distance of m1, from m2.​

Answer 1

Answer:

Explanation:

Newton's Gravitation Law

$\displaystyle \frac{GmM}{d^2}$

where G is a constant, M and M the masses e d the distance betwen masses.

$\displaystyle G\frac{5\cdot2}{x^2}=G\frac{6\cdot 2}{(2x+1)^2} \quad \sqrt{6}x=(2x+1)\sqrt {5} \quad x=\frac{\sqrt{5}}{\sqrt{6}-2\sqrt{5}}$