Question

Select the correct answer.

Answer 1

Answer:

$v=\sqrt{\frac{E}{m}}$

Step-by-step explanation:

The formula is given as:

$E=mv^2$

We need to solve this formula for v, that means that v to one side and let it be solved in terms of the other variables (E and m). First, we isolate v:

$E=mv^2\\\frac{E}{m}=\frac{mv^2}{m}\\\frac{E}{m}=v^2$

To isolate v, and eliminate the "square", we need to take square roots of both sides, that will give us v in terms of the other variables:

$\frac{E}{m}=v^2\\\sqrt{\frac{E}{m}}=\sqrt{v^2}\\\sqrt{\frac{E}{m}}=v$

Putting v to left side (convention), we finally have:

$v=\sqrt{\frac{E}{m}}$