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

Step-by-step explanation:

Newton's Gravitation Law

`\displaystyle (GmM)/(d^2)`

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

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