How much work (in J) is done to accelerate a car which has a mass of 3300 kg from a speed of 7 m/s to a speed of 16 m/s?

Compute the increase in kinetic energy. That will be the answer.

Kinetic Energy = (1/2) M V^2

341,550 N

To calculate the work done to accelerate the car, we can use the formula:

Work = Change in Kinetic Energy

The change in kinetic energy can be calculated using the formula:

Change in Kinetic Energy = (1/2) * mass * (final velocity^2 - initial velocity^2)

Given:
Mass of the car = 3300 kg
Initial velocity = 7 m/s
Final velocity = 16 m/s

Let's calculate the change in kinetic energy first:

Change in Kinetic Energy = (1/2) * 3300 kg * (16 m/s)^2 - (7 m/s)^2

Simplifying the equation:

Change in Kinetic Energy = (1/2) * 3300 kg * (256 m^2/s^2 - 49 m^2/s^2)
= (1/2) * 3300 kg * 207 m^2/s^2
= (1/2) * 3300 kg * 207 m^2/s^2
= 340,245 J

Therefore, the work done to accelerate the car is 340,245 J.