Question

Can you help me see the steps to solve the object’s mass M?

Answer 1

`M=\frac{rv^2^{}}{2G}`

Step-by-step explanation

Solve for the object's mass M means that we have to clear M from the equation:

`v^2=(2GM)/(r)`

First multiply both sides by r:

`\begin{gathered} rv^2=(2GM)/(r)\cdot r \\ rv^2=2GM \end{gathered}`

And then divide both sides by 2G:

`\begin{gathered} (rv^2)/(2G)=(2GM)/(2G) \\ (rv^2)/(2G)=M \end{gathered}`

So M is:

`M=(rv^2)/(2G)`