A 1300 sports car accelerates from rest to 95KM/H in 7.0S .What is the average power delivered by the engine?

Divide the kinetic energy increase (in Joules) by 7.0 s. The ratio will be the average power in watts.

Make sure you convert 95 km/h to 26.4 m/s before computing the kinetic energy

change km/h to m/s

power= 1/2 m v^2/time

To find the average power delivered by the engine, we can use the formula:

Average Power = Work / Time

First, we need to calculate the work done. The formula for work is:

Work = Force * Distance

To find the force, we can use Newton's second law of motion:

Force = Mass * Acceleration

Given:
Mass (m) = 1300 kg
Acceleration (a) = (Change in velocity) / Time = (95 km/h) / (7.0 s)

First, we need to convert km/h to m/s:

95 km/h = 95 * (1000 m / 1 km) / (3600 s / 1 h)

95 km/h = 26.39 m/s

Now, we can calculate the acceleration:

Acceleration (a) = (26.39 m/s - 0 m/s) / 7.0 s

Acceleration (a) = 26.39 m/s / 7.0 s

Acceleration (a) = 3.77 m/s^2

Now, we can calculate the force:

Force = Mass * Acceleration

Force = 1300 kg * 3.77 m/s^2

Force = 4901 N

Now, we can calculate the work:

Work = Force * Distance

Since the car starts from rest, the initial velocity is 0, and the final velocity is:

Final velocity = 95 km/h = 26.39 m/s

The distance can be calculated using the formula:

Distance = (Initial velocity + Final velocity) / 2 * Time

Distance = (0 m/s + 26.39 m/s) / 2 * 7.0 s

Distance = 92.36 m

Therefore, the work done is:

Work = 4901 N * 92.36 m

Now we can calculate the average power:

Average Power = Work / Time

Average Power = (4901 N * 92.36 m) / 7.0 s

Average Power ≈ 64,469 Watts or 64.469 kW

Therefore, the average power delivered by the engine is approximately 64,469 watts or 64.469 kilowatts.

To calculate average power, we can use the formula:

Average Power = Work / Time

First, let's calculate the work done by the engine. The work done can be calculated using the formula:

Work = Force x Distance

Since we know that the car is accelerating, we can use Newton's second law of motion which states that Force = Mass x Acceleration.

Given:
Mass of the car = 1300 kg
Acceleration = Change in Velocity / Time

Change in Velocity = final velocity - initial velocity = 95 km/h - 0 km/h = 95 km/h

Now, we need to convert the units of velocity and time to SI units:

95 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 26.39 m/s
7.0 s

Plugging in the values:

Acceleration = 26.39 m/s / 7.0 s = 3.77 m/s^2

Force = 1300 kg * 3.77 m/s^2 = 4891 N

Now, let's calculate the distance traveled. To find the distance traveled during acceleration, we can use the formula:

Distance = Initial Velocity * Time + (1/2) * Acceleration * Time^2

Given:
Initial Velocity = 0 m/s
Time = 7.0 s

Distance = 0 m/s * 7.0 s + (1/2) * 3.77 m/s^2 * (7.0 s)^2
Distance = 91.98 m

Next, we can calculate the work done:

Work = Force x Distance = 4891 N * 91.98 m = 449,631 J

Finally, we can calculate the average power:

Average Power = Work / Time = 449,631 J / 7.0 s
Average Power ≈ 64,233 W

Therefore, the average power delivered by the engine is approximately 64,233 Watts.