Final answer:
The work done to accelerate the car from a speed of 20 m/s to 35 m/s is 864750 J (joules).
Step-by-step explanation:
To calculate the work done, we can use the work-energy principle.
Work = Change in kinetic energy = (1/2) * mass * (final velocity^2 - initial velocity^2)
Given:
- Mass of the car = 2100 kg
- Initial velocity = 20 m/s
- Final velocity = 35 m/s
Plugging these values into the equation:
Work = (1/2) * 2100 kg * ((35 m/s)^2 - (20 m/s)^2)
Work = (1/2) * 2100 kg * (1225 m^2/s^2 - 400 m^2/s^2)
Work = (1/2) * 2100 kg * 825 m^2/s^2
Work = 864750 J
Therefore, the amount of work done to accelerate the car from a speed of 20 m/s to 35 m/s is 864750 J (joules).