1. Understand the Formula:

The kinetic energy (KE) of an object is calculated using the following formula:

KE = (1/2) * m * v²

Where:

* KE = Kinetic Energy (measured in Joules)

* m = Mass (measured in kilograms)

* v = Velocity (measured in meters per second)

2. Convert Units:

* Mass: 750 automobiles is not a standard unit. I'm assuming you mean 750 kilograms (kg), which is a typical weight for a car.

* Velocity: 65 miles per hour needs to be converted to meters per second (m/s):

* 1 mile = 1609.34 meters

* 1 hour = 3600 seconds

* 65 miles/hour * (1609.34 meters/mile) * (1 hour/3600 seconds) ≈ 29.06 m/s

3. Plug in the Values:

KE = (1/2) * 750 kg * (29.06 m/s)²

KE ≈ 316,827 Joules

Therefore, a 750 kg automobile traveling at 65 miles per hour (approximately 29.06 m/s) has approximately 316,827 Joules of kinetic energy.