A distance of 1 m separates two objects, one with a mass of 2 kg and the other with a mass of 4 kg. A 0.5 kg mass is placed between them at the point where the net gravitational force generated by the other two masses is zero. How far is the 0.5 kg object from the 2 kg object?
R=1 m. m1=2 kg, m2=4 kg, m=0.5 kg.
x=?
F1=F2
G•m1•m /x² = G•m2•m /(R-x)²
m1 /x²= m2 /(R-x)².
Solve for ’x’