Question

calculating velocity
a 50 kg cheetah has 3,600 j of kinetic energy. what is its velocity?
□ m/s

Explanation:

Step1: Recall Kinetic Energy Formula

The formula for kinetic energy ($KE$) is $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is velocity. We know $KE = 3600\ J$ and $m = 50\ kg$, so we need to solve for $v$.

Step2: Rearrange the Formula for $v$

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

Step3: Substitute the Values

Substitute $KE = 3600\ J$ and $m = 50\ kg$ into the formula: $v=\sqrt{\frac{2\times3600}{50}}$. Calculate the numerator: $2\times3600 = 7200$. Then divide by 50: $\frac{7200}{50}=144$. Now take the square root of 144: $\sqrt{144}=12$.

Answer:

12