High School

A 122 kg man has 306 J of kinetic energy.

What is the velocity of the man?

[tex]v = [?] \, \text{m/s}[/tex]

Answer :

To find the velocity of the man, we can use the formula for kinetic energy. The kinetic energy (KE) is given by the equation:

[tex]\[ KE = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \][/tex]

We need to solve for velocity, so we start by rearranging the formula:

[tex]\[ \text{velocity}^2 = \frac{2 \times KE}{\text{mass}} \][/tex]

Now, take the square root of both sides to solve for velocity:

[tex]\[ \text{velocity} = \sqrt{\frac{2 \times KE}{\text{mass}}} \][/tex]

Let's plug in the given values:
- Kinetic energy (KE) = 306 J
- Mass = 122 kg

Substitute these values into the formula:

[tex]\[ \text{velocity} = \sqrt{\frac{2 \times 306}{122}} \][/tex]

After performing the calculations:

[tex]\[ \text{velocity} \approx 2.24 \, \text{m/s} \][/tex]

So, the velocity of the man is approximately 2.24 meters per second.