What is the average power in accelerating this car

Since the car starts from rest, the initial kinetic energy is 0. The final kinetic energy can be calculated using the final velocity and the mass of the car. Once you have the total work done, divide it by the time interval of 7.50 s to get the average power. In summary, to find the average power, calculate the change in kinetic energy and divide it by the time interval of 7.50 s.
  • #1
Groovy_Duck
3
0
I was given this as a practice problem:

A 1,000 kg car accelerates from rest to 25.0 m/s in 7.50 s. What is the Average power?

So far, I know that P= FD/t F=ma
m=1000kg
initial velocity = 0
final velocity = 25.0 m/s
t = 7.50 s

how do I find the acceleration? thx
 
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  • #2
The acceleration is [tex] \frac{{dv}}{{dt}}[/tex], the change in velocity over the change in time
 
  • #3
Groovy_Duck said:
I was given this as a practice problem:

A 1,000 kg car accelerates from rest to 25.0 m/s in 7.50 s. What is the Average power?

So far, I know that P= FD/t F=ma
m=1000kg
initial velocity = 0
final velocity = 25.0 m/s
t = 7.50 s

how do I find the acceleration? thx

You don't have to find the acceleration. Average power is (total work done over a time interval) divided by the time interval.

Total work done can be calculated by the change in kinetic energy of the car.
 

FAQ: What is the average power in accelerating this car

What is the average power in accelerating this car?

The average power in accelerating a car is the amount of work done per unit time to increase the car's speed. It is typically measured in watts (W) or horsepower (hp).

How is the average power calculated?

The average power can be calculated by dividing the work done (force x distance) by the time it takes to achieve that work. In the case of accelerating a car, it would be the amount of force applied to the car's mass to increase its speed over a certain distance.

What factors affect the average power in accelerating a car?

The average power in accelerating a car is affected by several factors, including the car's mass, the force applied, the distance over which the force is applied, and the time it takes to achieve that work. Additionally, external factors such as friction, air resistance, and road conditions can also affect the average power.

How does acceleration affect the average power?

The rate of acceleration directly affects the average power. The faster a car accelerates, the more power is required to achieve that acceleration in the same amount of time. This means that a car accelerating from 0-60 mph in 5 seconds will require more average power than a car accelerating from 0-60 mph in 10 seconds.

Why is it important to understand the average power in accelerating a car?

Understanding the average power in accelerating a car is important for several reasons. It helps engineers design more efficient and powerful engines, it allows drivers to understand the amount of energy required to achieve certain speeds, and it can also help with fuel efficiency and reducing emissions.

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