Solve the formula for the indicated variable. Orbital velocity: $$V = \sqrt { \frac { G M } { R } } \text { for } M$$
A) $M = V ^ { 2 } R G$
B) $M = G ^ { 2 } R V$
C) $M = \sqrt { \frac { R V } { G } }$
D) $M = \frac { R V ^ { 2 } } { G }$
E) $M = \left( \frac { R V } { G } \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

To solve for $M$, we need to isolate it on one side of the equation. First, square both sides of the equation to eliminate the square root: 
$$V^2=\frac{GM}{R}$$
$$V^2R=GM$$
Finally, divide both sides by $G$ to get $M$ by itself:
$$M=\frac{V^2R}{G}$$
Thus, the answer is D.

Solve the Formula for the Indicated Variable V=GMR for MV = \sqrt { \frac { G M } { R } } \text { for } MV=RGM​​ for M

Solve the Formula for the Indicated Variable $V = \sqrt { \frac { G M } { R } } \text { for } M$