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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 the engine is 168 hp, estimate the total friction force acting on the car when it is moving at a speed of 23 m/s. One horsepower equals 746 W.

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opudodennis

Answer:

F=5449 N

Explanation:

Work done is a product of force and displacement ie

Work done, W, = Force*Displacement

Power, P, is Work done/Time

[tex]P=\frac {W}{t}=\frac {FS}{t}[/tex] where P is power, W is work done, F is force, S is displacement and t is time

In this case, F is the frictional force. Converting the power from hp to W, we multiply by 746 hence P=746*168=125328  W

Since displacement/time is velocity, then

P=FV where V is velocity in m/s

Making F the subject

[tex]F=\frac {P}{V}[/tex]

[tex]F=\frac {125328}{23}=5449.043478  N[/tex]

F=5449 N

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