qV=1/2mv^2, solve for the variable v
To solve for the variable v in the equation qV = 1/2mv^2, we can follow these steps:
Step 1: Start by isolating the v^2 term. Divide both sides of the equation by 1/2m:
qV / (1/2m) = v^2
Step 2: Simplify the expression on the left side by multiplying qV by the reciprocal of 1/2m, which is 2m:
2m(qV / (1/2m)) = v^2
(2mqV)/(1/2m) = v^2
4mqV = v^2
Step 3: To solve for v, we need to take the square root of both sides of the equation to eliminate the v^2:
√(4mqV) = √v^2
2√(mqV) = v
So the solution for the variable v is v = 2√(mqV).