An automobile with a mass of 1400 kg has a speed of 30.0 m/s. What is its kinetic energy
KE=1/2 m v^2
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To calculate the kinetic energy of an object, you can use the formula:
Kinetic Energy = 1/2 * mass * velocity^2
In this case, the mass of the automobile is given as 1400 kg and the speed is given as 30.0 m/s.
Substitute these values into the formula:
Kinetic Energy = 1/2 * 1400 kg * (30.0 m/s)^2
First, square the speed (30.0 m/s)^2 = 900.0 m^2/s^2:
Kinetic Energy = 1/2 * 1400 kg * 900.0 m^2/s^2
Next, multiply the mass and squared speed:
Kinetic Energy = 630,000 kg·m^2/s^2
The unit of kinetic energy is the joule (J). So the final answer is 630,000 J.
Therefore, the kinetic energy of the automobile is 630,000 J.