Final answer:
The work done in slowing down the car is -375,000 J.
Step-by-step explanation:
The work done in slowing down the car can be calculated using the work-energy theorem. The work done is equal to the change in kinetic energy. The initial kinetic energy of the car is given by 1/2 * mass * (initial velocity)^2, and the final kinetic energy is given by 1/2 * mass * (final velocity)^2. Therefore, the work done is equal to the difference in the two kinetic energies:
Work = 1/2 * mass * ((final velocity)^2 - (initial velocity)^2)
Plugging in the given values:
Work = 1/2 * 1500 kg * ((10 m/s)^2 - (30 m/s)^2)
Work = 1/2 * 1500 kg * (-500 m^2/s^2)
Work = -375,000 J