Final answer:
The work done on the car to increase its velocity from 8 m/s to 13 m/s is 61562.5 joules.
Step-by-step explanation:
To calculate the work done on the car, we can use the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy. The formula for work is given by:
Work = (1/2) * mass * (final velocity^2 - initial velocity^2)
In this case, the mass of the car is 1175 kg, the initial velocity is 8 m/s, and the final velocity is 13 m/s. Plugging in these values:
Work = (1/2) * 1175 kg * ((13 m/s)^2 - (8 m/s)^2)
Work = (1/2) * 1175 kg * (169 m^2/s^2 - 64 m^2/s^2)
Work = (1/2) * 1175 kg * (105 m^2/s^2)
Work = 61562.5 joules
Therefore, the work done on the car to increase its velocity from 8 m/s to 13 m/s is 61562.5 joules.