Questions: Given the equation F = m(v^2 / U R - g) Solve the equation for R

Transcript text: Given the equation \[ F=m\left(v^{2} / U R-g\right) \] Solve the equation for $R$

Solution

Step 1: Distribute the m term

Starting with the given equation: \[ F = m\left(\frac{v^{2}}{UR} - g\right) \] Distribute the m term to get: \[ F = \frac{mv^{2}}{UR} - mg \]

Step 2: Move the mg to the other side

Move the term $-mg$ to the other side of the equation: \[ F + mg = \frac{mv^{2}}{UR} \]

Step 3: Solve for R

To solve for $R$, isolate it by rearranging the equation: \[ R = \frac{mv^{2}}{U(F + mg)} \]

\[ \boxed{R = \frac{mv^{2}}{U(F + mg)}} \]

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