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 195 hp, estimate the total friction force acting on the car when it is moving at a speed of 33 m/s. One horsepower equals 746 W.
Powerengine= frictionforce*speed
To estimate the total friction force acting on the car, we can use the equation:
Power = Force x Velocity
First, we need to convert the power from hp to watts:
195 hp x 746 W/hp = 145,470 W
Now, we can rearrange the equation to solve for force:
Force = Power / Velocity
Force = 145,470 W / 33 m/s
Force ≈ 4,405 N
Therefore, the total friction force acting on the car when it is moving at a speed of 33 m/s is approximately 4,405 Newtons.
To estimate the total friction force acting on the car, we can use the concept of power and mechanical energy loss.
First, let's convert the power developed by the engine from horsepower to watts:
1 horsepower (hp) = 746 watts (W)
So, 195 hp = 195 * 746 W = 145170 W
Now, let's consider the mechanical energy loss due to frictional forces. The power developed by the engine is used to compensate for this energy loss. The formula for power is given as:
Power = Force x Velocity
In this case, the force we are looking for is the total friction force acting on the car. The velocity (speed) of the car is given as 33 m/s.
Rearranging the formula to solve for force, we have:
Force = Power / Velocity
Substituting the given values into the equation:
Force = 145170 W / 33 m/s = 4402.73 N
Therefore, the estimated total friction force acting on the car when it is moving at a speed of 33 m/s is approximately 4402.73 Newtons.