To calculate the kinetic energy (KE) of the skateboard, we can use the formula:
\[ KE = \frac{1}{2} m v^2 \]
Where:
- \( m \) is the mass of the skateboard (in kilograms)
- \( v \) is the speed of the skateboard (in meters per second)
Given:
- \( m = 3 \) kg
- \( v = 2.6 \) m/s
Now, substituting the values into the formula:
\[ KE = \frac{1}{2} \times 3 , \text{kg} \times (2.6 , \text{m/s})^2 \] \[ = \frac{1}{2} \times 3 \times 6.76 \quad \text{(since } 2.6^2 = 6.76\text{)} \] \[ = \frac{1}{2} \times 20.28 \] \[ = 10.14 , \text{J} \]
Thus, the kinetic energy of the skateboard is 10.14 J.