Rearrange the kinetic energy equation to solve for:
m
And
v
KE = m*V^2/2
2KE = m*V^2
m = 2KE/V^2
m*V^2 = 2KE
V^2 = 2KE/m
V = Sqrt(2KE/m)
To rearrange the kinetic energy equation to solve for "m" (mass) and "v" (velocity), we can start with the original equation:
Kinetic energy (K.E.) = (1/2) * m * v^2
To solve for "m", we need to isolate it on one side of the equation. To do this, we divide both sides of the equation by "v^2" and multiply by 2:
K.E. / (v^2) = (1/2) * m * v^2 / (v^2)
Simplifying the right side of the equation:
K.E. / (v^2) = (1/2) * m
To isolate "m", we multiply both sides by 2:
2 * (K.E. / (v^2)) = m
Therefore, the rearranged equation to solve for "m" is:
m = 2 * (K.E. / (v^2))
Now let's rearrange the kinetic energy equation to solve for "v". Starting with the original equation:
Kinetic energy (K.E.) = (1/2) * m * v^2
To solve for "v", we need to isolate it on one side of the equation. First, multiply both sides by 2:
2 * K.E. = m * v^2
Next, divide both sides by "m":
(2 * K.E.) / m = v^2
Finally, take the square root of both sides to isolate "v":
√((2 * K.E.) / m) = v
Therefore, the rearranged equation to solve for "v" is:
v = √((2 * K.E.) / m)