Answer:
The formula solved for v is √2E/m.
Step-by-step explanation:
Given:
The formula to determine energy is E=1/2mv².
So, to solve the formula for v, we put the formula of energy:
[tex]E=\frac{1}{2}mv^{2}[/tex]
Multiplying both sides by 2:
[tex]2E=mv^{2}[/tex]
Now, dividing both sides by m:
[tex]\frac{2E}{m} = v^{2}[/tex]
And, using square root both the sides:
[tex]\sqrt{\frac{2E}{m}} =v[/tex]
[tex]v=\sqrt{\frac{2E}{m}} [/tex]
Therefore, the formula solved for v is √2E/m.
