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Answer :
To calculate the kinetic energy of a car, we use the formula for kinetic energy: [tex]KE = \frac{1}{2}mv^2[/tex]. Here:
- [tex]m[/tex] is the mass of the car, which is 1200 kg.
- [tex]v[/tex] is the velocity of the car, which is 25 m/s.
Let's calculate the kinetic energy step by step:
Substitute the values into the kinetic energy formula:
[tex]KE = \frac{1}{2} \times 1200 \times (25)^2[/tex]Calculate the square of the velocity:
[tex]25^2 = 625[/tex]Substitute back the squared value into the equation:
[tex]KE = \frac{1}{2} \times 1200 \times 625[/tex]Calculate the product of mass and the squared velocity:
[tex]1200 \times 625 = 750000[/tex]Finally, multiply by [tex]\frac{1}{2}[/tex] to find the kinetic energy:
[tex]KE = \frac{1}{2} \times 750000 = 375000 \text{ Joules}[/tex]
Since 1 kilojoule (KJ) is equal to 1000 joules, you can convert joules to kilojoules:
[tex]375000 \text{ Joules} = 375 \text{ KJ}[/tex]
Therefore, the kinetic energy of the car is 375 KJ. The correct option is A. 375 KJ.
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