Literal Equations

Question

The formula to calculate the gravitational force between two objects is F_g=\frac{GM_1M_2}{r^2},Fg​=r2GM1​M2​​, where M_1M1​ and M_2M2​ are the masses of the objects, GG is the gravitational constant and rr is the distance between the objects. Solve for M_1M1​ in terms of F_g,Fg​, G,G, M_2M2​ and r.r.

Answer 1

F = G(M₁M₂)/r²

To solve for M₁, first mult by r² to elim the fraction.

Fr² = GM₁M₂

Then can divide both sides by GM₂ to isolate the M₁.