# Worksheet Problem about Power (average power of a car accelerating up a hill)

• Billy Jones
In summary, a 1130 kg car accelerates up a 21 m high hill and reaches the top at 18 m/s after 6.5 s. Using the equations W = Fd and P = W/t, the average power of the car is calculated to be 45887.36 watts. However, the accuracy of this answer cannot be verified as the attached picture is not accessible.
Billy Jones

## Homework Statement

A 1130 kg car is initially at rest when it accelerates up a 21 m high hill. When it reaches the top of the hill it is traveling at 18 m/s. If it takes 6.5 s to reach the top of the hill, what was the average power of the car?

W = Fd
P = w/t

## The Attempt at a Solution

My answer was 45887.36 watts. The methodology used can be seen in the attached picture.

#### Attachments

• IMG_0748.JPG
50 KB · Views: 357
Welcome to the PF.
Billy Jones said:
The methodology used can be seen in the attached picture.
The image does not show correctly. Try using the UPLOAD button in the lower right of the Edit window to attach a PDF or JPEG image. Please be sure the image is clear and easy to read and doesn't upload sideways. Better yet, just type your work into the forum. Probably it only took a few lines of algebra for you to get to your answer. Thanks.

Billy Jones said:

## Homework Statement

A 1130 kg car is initially at rest when it accelerates up a 21 m high hill. When it reaches the top of the hill it is traveling at 18 m/s. If it takes 6.5 s to reach the top of the hill, what was the average power of the car?

W = Fd
P = w/t

## The Attempt at a Solution

My answer was 45887.36 watts. The methodology used can be seen in the attached picture.

## What is power?

Power is the rate at which work is done or energy is transferred. It is measured in watts (W) or horsepower (hp).

## How is power related to acceleration?

Power and acceleration are related through the formula P = Fv, where P is power, F is force, and v is velocity. This means that the more power a car has, the faster it can accelerate.

## What is average power?

Average power is the average rate at which work is done or energy is transferred over a certain period of time. It is calculated by dividing the total work or energy by the time it took to do it.

## How can average power be calculated for a car accelerating up a hill?

To calculate average power for a car accelerating up a hill, you would need to know the force applied by the car's engine, the velocity of the car, and the time it took for the car to reach a certain point on the hill. Then, you can use the formula P = Fv to calculate the average power.

## What factors can affect the average power of a car accelerating up a hill?

The average power of a car accelerating up a hill can be affected by various factors such as the weight of the car, the incline of the hill, the engine's horsepower, and the car's aerodynamics. Other external factors like wind resistance and road conditions can also impact the average power of a car.

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