To find the kinetic energy of the object, we start by using the formula for kinetic energy:
[tex]\[ \text{Kinetic Energy} = \frac{1}{2} \times \text{mass} \times \text{velocity}^2 \][/tex]
We are given:
- Mass ([tex]\( m \)[/tex]) = 6.7 kg
- Velocity ([tex]\( v \)[/tex]) = 8 m/s
Substitute these values into the formula:
[tex]\[ \text{Kinetic Energy} = \frac{1}{2} \times 6.7 \times 8^2 \][/tex]
Calculate the velocity term first:
[tex]\[ 8^2 = 64 \][/tex]
Now, multiply that by the mass:
[tex]\[ 6.7 \times 64 = 428.8 \][/tex]
Finally, take half of the result to find the kinetic energy:
[tex]\[ \frac{1}{2} \times 428.8 = 214.4 \][/tex]
So, the kinetic energy is:
[tex]\[ 214.4 \text{ Joules} \][/tex]
The best answer is:
[tex]\[ \text{B. } 214.4 \text{ J} \][/tex]
