Calculate the kinetic energy in joules of an automobile weighing 4345 lb and traveling at 75 mph. (1 mile

The kinetic energy of the automobile weighing 4345lb and with a speed of 75mph is 1.1077 × 10⁶J

Given the data in the question;

[we convert from pound to kilogram]

[ we convert from miles per hour to meter per second]

Kinetic energy;

We know that, Kinetic Energy ( K.E ) is a form of energy that a matter possesses by reason of its motion.

It is directly proportional to the mass of the matter and to the square of its velocity.

That is;

To find the Kinetic Energy, we simply substitute our given values into the equation

Therefore, the kinetic energy of the automobile weighing 4345lb and with a speed of 75 mph is 1.1077 × 10⁶J

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1.11×10⁶ J

Explanation:

75 mi/hr × (1609.34 m / mi) × (1 hr / 3600 s) = 33.5 m/s

4345 lbf × (1 lbm / lbf) × (1 kg / 2.2 lbm) = 1975 kg

KE = 1/2 mv²

KE = 1/2 (1975 kg) (33.5 m/s)²

KE = 1.11×10⁶ J