Work to Increase Velocity of a Car

To calculate the work required to increase the velocity of a car, we can use the formula:

Work (W) = Change in Kinetic Energy (ΔKE)

To determine the change in kinetic energy, we need to calculate the initial and final kinetic energies of the car. The kinetic energy of an object can be calculated using the formula:

Kinetic Energy (KE) = (1/2) * mass * velocity^2

Given data:
Initial velocity (u) = 30 km/h
Final velocity (v) = 60 km/h
Mass of the car (m) = 1500 kg

Calculating Initial Kinetic Energy:
Initial velocity (u) = 30 km/h = 8.33 m/s (after converting to m/s using the conversion factor 1 km/h = 0.2778 m/s)

Initial Kinetic Energy (KE1) = (1/2) * mass * velocity^2
KE1 = (1/2) * 1500 kg * (8.33 m/s)^2

Calculating Final Kinetic Energy:
Final velocity (v) = 60 km/h = 16.67 m/s (after converting to m/s)

Final Kinetic Energy (KE2) = (1/2) * mass * velocity^2
KE2 = (1/2) * 1500 kg * (16.67 m/s)^2

Calculating Change in Kinetic Energy:
Change in Kinetic Energy (ΔKE) = Final Kinetic Energy (KE2) - Initial Kinetic Energy (KE1)

Calculating Work:
Work (W) = Change in Kinetic Energy (ΔKE)

Now we can substitute the values into the equations:

Work (W) = KE2 - KE1

Simplifying the Calculation:
Work (W) = (1/2) * 1500 kg * (16.67 m/s)^2 - (1/2) * 1500 kg * (8.33 m/s)^2

Results:
After performing the calculations, we will obtain the work required to increase the velocity of the car from 30 km/h to 60 km/h. The answer will be in joules (J), which is the unit of work.

By following the above steps, you can calculate the work to be done to increase the velocity of a car.