Question

If a 2000 kg car accelerates from rest to 24 m/s with a force of 250 N, how much work does it do?

Answer 1

The work done by the car is 36,000 N·m or 36,000 J.

Step-by-step explanation:

To calculate the work done by a car accelerating from rest to 24 m/s, we can use the equation:

Work = Force × Distance

First, we need to find the distance traveled by the car. We can use the equation:

Distance = (Final Velocity^2 - Initial Velocity^2) / (2 × Acceleration)

Plugging the given values into the equation, we get:

Distance = (24^2 - 0^2) / (2 × Acceleration)

Distance = 288 / (2 × Acceleration)

Distance = 288 / (2 × 1)

Distance = 144 meters

Now, we can substitute the values of force and distance into the work equation:

Work = 250 N × 144 m

Work = 36,000 N·m or 36,000 J