Question

F=(mv^2)/r solve for v step by step.

Answer 1

For this case we have the following equation:

`F = \frac {mv ^ 2} {r}`

We must clear the value of the variable v:

Multiplying by "r" on both sides we have:

`rF = m * v ^ 2`

Dividing between "m" on both sides:

`\frac {rF} {m} = v ^ 2`

Applying square root to both sides:

`v = \pm \sqrt {\frac {rF} {m}}`

Thus, the solutions are:

`v_ {1} = \sqrt {\frac {rF} {m}}\\v_ {2} = - \sqrt {\frac {rF} {m}}`

Answer:

`v_ {1} = \sqrt {\frac {rF} {m}}\\v_ {2} = - \sqrt {\frac {rF} {m}}`