The kinetic energy (KE) of an object can be calculated using the formula:
\[ KE = \frac{1}{2} mv^2 \]
where \(m\) is the mass of the object and \(v\) is its velocity.
In this scenario, the mass \(m\) is 56 kg and the velocity \(v\) is 11 m/s. Plugging these values into the formula gives:
\[ KE = \frac{1}{2} \times 56 , \text{kg} \times (11 , \text{m/s})^2 \]
First, calculate \(v^2\):
\[ 11 , \text{m/s} \times 11 , \text{m/s} = 121 , \text{m}^2/\text{s}^2 \]
Next, substitute \(v^2\) back into the formula:
\[ KE = \frac{1}{2} \times 56 , \text{kg} \times 121 , \text{m}^2/\text{s}^2 \]
Calculating \( \frac{1}{2} \times 56 \):
\[ \frac{1}{2} \times 56 = 28 , \text{kg} \]
Now, multiply by \(121\):
\[ KE = 28 , \text{kg} \times 121 , \text{m}^2/\text{s}^2 = 3,388 , \text{J} \]
Thus, the kinetic energy is 3,388 J.