Use the following formula to solve: A 700-kg vehicle is traveling at a speed of 6 m/s. How much kinetic energy does it have?

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1 point
kinetic energy = 1/2 mass x speed2
12,600 J
50,400 J
700 J

1 answer

To calculate the kinetic energy (KE) of the vehicle, we will use the formula:

\[ \text{kinetic energy} = \frac{1}{2} \times \text{mass} \times \text{speed}^2 \]

Given:

  • mass = 700 kg
  • speed = 6 m/s

Now, substituting the values into the formula:

\[ \text{kinetic energy} = \frac{1}{2} \times 700 , \text{kg} \times (6 , \text{m/s})^2 \]

Calculating the speed squared:

\[ (6 , \text{m/s})^2 = 36 , \text{m}^2/\text{s}^2 \]

Now, plug this value into the formula:

\[ \text{kinetic energy} = \frac{1}{2} \times 700 , \text{kg} \times 36 , \text{m}^2/\text{s}^2 \]

\[ = \frac{1}{2} \times 25200 , \text{kg} \cdot \text{m}^2/\text{s}^2 \]

\[ = 12600 , \text{J} \]

So, the kinetic energy of the vehicle is 12,600 J.