the velocity of a 10.0 kg object that has 720 j of kinetic energy is m/s. (report the answer to two…

Explanation:

Step1: Recall kinetic - energy formula

The kinetic - energy formula is $K = \frac{1}{2}mv^{2}$, where $K$ is kinetic energy, $m$ is mass, and $v$ is velocity. We need to solve for $v$.

Step2: Rearrange the formula for $v$

Starting from $K=\frac{1}{2}mv^{2}$, we first multiply both sides by 2 to get $2K = mv^{2}$. Then divide both sides by $m$: $v^{2}=\frac{2K}{m}$. Taking the square - root of both sides gives $v=\sqrt{\frac{2K}{m}}$.

Step3: Substitute the given values

We are given that $K = 720\ J$ and $m = 10.0\ kg$. Substituting these values into the formula $v=\sqrt{\frac{2\times720}{10.0}}$. First, calculate the value inside the square - root: $\frac{2\times720}{10.0}=\frac{1440}{10.0}=144$. Then, $v=\sqrt{144}=12\ m/s$.

Answer:

12