Question

The formula for gravitational force between two objects is F = GmM/r^2 where m andM are the masses of the objects and r is the distance between them. Rearrange theformula to solve for M.

Answer 1

Given:

The formula for gravitational force between two objects

$F=\frac{GmM}{r^{^2}}$

Required:

Solve for M.

Explanation:

The calculation is as:

$\begin{gathered} F=\frac{GmM}{r^2} \\ Fr^2=GmM \\ M=\frac{Fr^2}{Gm} \end{gathered}$

Answer:

Fourth option is correct.