The kinetic energy of an object is given by the following formula:
[tex]K=\frac{1}{2}mv^2[/tex]Where:
[tex]\begin{gathered} K=kinetic\text{ energy} \\ m=\text{ mass} \\ v=\text{ velocity} \end{gathered}[/tex]Since we are asked to determine the velocity we will solve for "v" in the formula. First, we multiply by 2:
[tex]2K=mv^2[/tex]Now, we divide both sides by "m":
[tex]\frac{2K}{m}=v^2[/tex]Now, we take the square root to both sides:
[tex]\sqrt{\frac{2K}{m}}=v[/tex]Now, we plug in the values:
[tex]\sqrt{\frac{2(350000J)}{1500kg}}=v[/tex]Solving the operations:
[tex]21.6\frac{m}{s}=v[/tex]Therefore, the velocity is 21.6 m/s.
