Question

The formula to determine energy is E=1\2 mv^2 What is the formula solved for v?

Answer 1

The formula solved for v is √2E/m.

Explanation:

Given:

The formula to determine energy is E=1/2mv².

So, to solve the formula for v, we put the formula of energy:

`E=(1)/(2)mv^(2)`

Multiplying both sides by 2:

`2E=mv^(2)`

Now, dividing both sides by m:

`(2E)/(m) = v^(2)`

And, using square root both the sides:

`\sqrt{(2E)/(m)} =v`

`v=\sqrt{(2E)/(m)}`

Therefore, the formula solved for v is √2E/m.