Final answer:
The kinetic energy of a 1539 kg car traveling at a speed of 10.1 m/s is calculated using the formula KE = ½mv², which gives approximately 78,519.695 joules.
Step-by-step explanation:
The kinetic energy (KE) of an object can be calculated using the formula KE = ½mv², where m is the mass of the object and v is its velocity. In the case of a 1539 kg car traveling at a speed of 10.1 m/s, we can calculate its kinetic energy by plugging these values into the formula. So, the kinetic energy would be KE = ½ * 1539 kg * (10.1 m/s)².
First, square the velocity: (10.1 m/s)² = 102.01 m²/s². Then, multiply this by the mass and ½: KE = ½ * 1539 kg * 102.01 m²/s² = 78519.695 J. Therefore, the kinetic energy of the car is approximately 78,519.695 joules.