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.
[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.
