Final answer:
The energy lost due to friction can be calculated by finding the difference between the initial and final kinetic energy of the car. The energy lost due to friction is 461.7 kJ.
Step-by-step explanation:
To calculate the amount of energy lost due to friction, we first need to calculate the initial kinetic energy and the final kinetic energy of the car. The formula for kinetic energy is KE = 0.5 * mass * velocity^2.
Initial kinetic energy = 0.5 * (2.7 x 10^3 kg) * (14 m/s)^2 = 529.2 kJ
Final kinetic energy = 0.5 * (2.7 x 10^3 kg) * (5 m/s)^2 = 67.5 kJ
The energy lost due to friction is the difference between the initial and final kinetic energy: 529.2 kJ - 67.5 kJ = 461.7 kJ.