Answer:
[tex]v=\sqrt{\frac{E}{m}}[/tex]
Step-by-step explanation:
The formula is given as:
[tex]E=mv^2[/tex]
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:
[tex]E=mv^2\\\frac{E}{m}=\frac{mv^2}{m}\\\frac{E}{m}=v^2[/tex]
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:
[tex]\frac{E}{m}=v^2\\\sqrt{\frac{E}{m}}=\sqrt{v^2}\\\sqrt{\frac{E}{m}}=v[/tex]
Putting v to left side (convention), we finally have:
[tex]v=\sqrt{\frac{E}{m}}[/tex]
