which formula can be used to find velocity if kinetic energy and mass are known?\n$v = sqrt{\frac{1}{2}(ke)(m…

which formula can be used to find velocity if kinetic energy and mass are known?\n$v = sqrt{\frac{1}{2}(ke)(m)}$\n$v = sqrt{\frac{2m}{ke}}$\n$v = sqrt{ke(m)}$\n$v = sqrt{\frac{2ke}{m}}$

which formula can be used to find velocity if kinetic energy and mass are known?\n$v = sqrt{\frac{1}{2}(ke)(m)}$\n$v = sqrt{\frac{2m}{ke}}$\n$v = sqrt{ke(m)}$\n$v = sqrt{\frac{2ke}{m}}$

Answer

Explanation:

Step1: Recall kinetic - energy formula

The formula for kinetic energy is $KE=\frac{1}{2}mv^{2}$, where $KE$ is kinetic energy, $m$ is mass and $v$ is velocity.

Step2: Solve for $v$

First, multiply both sides of the equation $KE = \frac{1}{2}mv^{2}$ by $2$ to get $2KE=mv^{2}$. Then divide both sides by $m$: $\frac{2KE}{m}=v^{2}$. Finally, take the square - root of both sides: $v=\sqrt{\frac{2KE}{m}}$.

Answer:

$v=\sqrt{\frac{2KE}{m}}$ (the fourth option)