Question

Imagine you derive the following expression by analyzing the physics of a particular system: M= (mv2r)(mGr2). Simplify the expression for M using the techniques mentioned above.

Answer 1

Answer:

The simplified expression is $M = \frac{v^2 r}{G}$

Explanation:

From the question we are told that  

     $M = \frac{ \frac{m v^2}{r} }{\frac{ mG}{r^2 } }$

So simplifying we have

    $M = \frac{m v^2}{r} * \frac{r^2 }{ mG }$

    $M = \frac{v^2 r}{G}$

Thus the simplified formula is $M = \frac{v^2 r}{G}$