# When an automobile moves with constant speed down a highway, most of the power developed by the engine is used to compensate for the mechanical energy loss due to frictional forces exerted on the car by the air and the road. If the power developed by an engine is 175 hp, estimate the total frictional force acting on the car when it is moving at a speed of 29 m/s. One horsepower equals 746 W.

### College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027

Chapter
Section

### College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027
Chapter 5, Problem 54P
Textbook Problem
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## When an automobile moves with constant speed down a highway, most of the power developed by the engine is used to compensate for the mechanical energy loss due to frictional forces exerted on the car by the air and the road. If the power developed by an engine is 175 hp, estimate the total frictional force acting on the car when it is moving at a speed of 29 m/s. One horsepower equals 746 W.

To determine

The total frictional force acting on the car.

### Explanation of Solution

Given Info:

The power developed by the engine is 175.0â€‰hp.

The speed of the car is 29.0â€‰m/s.

One horsepower is equal to 746.0â€‰W.

When the car is moving in the constant speed, the total power used to overcome the frictional force is the power input from the engine.

Thus, the power output is,

Po=ftv=Pi

• ft is the total frictional force
• v is the speed of the car
• Pi is the power input

On re-arranging,

Formula to calculate the total frictional force is,

ft=Pov

Substitute 175.0â€‰hp for Po and 29

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