To calculate the kinetic energy (KE) of the vehicle, you can use the formula:
\[ KE = \frac{1}{2} mv^2 \]
where:
- \( m \) is the mass of the object (in kilograms),
- \( v \) is the speed of the object (in meters per second).
Given:
- \( m = 700 , \text{kg} \)
- \( v = 6 , \text{m/s} \)
Now plug the values into the formula:
\[ KE = \frac{1}{2} \times 700 , \text{kg} \times (6 , \text{m/s})^2 \]
First, calculate \( (6 , \text{m/s})^2 \):
\[ (6 , \text{m/s})^2 = 36 , \text{m}^2/\text{s}^2 \]
Now substitute that back into the equation:
\[ KE = \frac{1}{2} \times 700 , \text{kg} \times 36 , \text{m}^2/\text{s}^2 \]
Calculate \( \frac{1}{2} \times 700 \):
\[ \frac{1}{2} \times 700 = 350 \]
Now multiply that by 36:
\[ KE = 350 , \text{kg} \times 36 , \text{m}^2/\text{s}^2 = 12600 , \text{J} \]
Therefore, the kinetic energy of the vehicle is 12,600 J.