F=Gm^2/r^2

G=?

My answer is Fm^2/r^2. Is this right?

No, your answer is not correct. The equation you mentioned, F = Gm^2/r^2, is actually the formula for the gravitational force between two masses. In this equation, G represents the gravitational constant, not F. G has a fixed numerical value and is independent of the masses involved.

To calculate the value of G, you would need to rearrange the equation to solve for G. Here's how you can do it:

1. Start with the equation F = Gm^2/r^2.
2. Multiply both sides of the equation by r^2: F * r^2 = G * m^2.
3. Divide both sides of the equation by m^2: (F * r^2) / m^2 = G.

By performing these steps, you have isolated G on one side of the equation. Now, you can substitute the given values for F, r, and m into the equation to find the value of G. Remember to use the appropriate units for the variables in order to get an accurate result.