calculate the velocity of a car increases from 54km 1hr to 72 km/hr if the mass of the car is 1500kg find the work done to increase the velocity

To calculate the work done to increase the velocity of the car, we need to determine the change in kinetic energy. The work-energy principle states that the work done on an object is equal to the change in its kinetic energy.

First, we need to determine the initial and final kinetic energy of the car:

Initial kinetic energy (KEi):
KEi = 1/2 * m * v^2

where m is the mass of the car and v is the initial velocity. Here, the initial velocity is 54 km/hr. We need to convert it to m/s, as SI units are usually used in physics calculations:

54 km/hr * (1000 m/1 km) * (1 hr/3600 s) = 15 m/s

So, the initial velocity (v) is 15 m/s.

Now, we can calculate the initial kinetic energy:

KEi = 1/2 * 1500 kg * (15 m/s)^2
= 1/2 * 1500 kg * 225 m^2/s^2
= 168,750 J (Joules)

Next, we need to determine the final kinetic energy (KEf) of the car. The final velocity is given as 72 km/hr. Again, we convert it to m/s:

72 km/hr * (1000 m/1 km) * (1 hr/3600 s) = 20 m/s

So, the final velocity (v) is 20 m/s.

We can now calculate the final kinetic energy:

KEf = 1/2 * 1500 kg * (20 m/s)^2
= 1/2 * 1500 kg * 400 m^2/s^2
= 300,000 J (Joules)

Now, we can determine the change in kinetic energy:

ΔKE = KEf - KEi
= 300,000 J - 168,750 J
= 131,250 J (Joules)

Therefore, the work done to increase the velocity of the car is 131,250 Joules.

work done = increase in kinetic energy

= (1/2) m (V2^2-V1^2)

V2 = 72/3.6 meters/second
V1 = 54/3.6 meters/second
m = 1500 kg
then answer will be in Joules