Magnitude of total resistant force on a car?

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SUMMARY

A car requires 75 horsepower (hp) to maintain a constant velocity of 27.3 m/s on a flat road, which translates to a resistive force of 2.05 x 103 N. The conversion factor of 1 hp equals 746 watts is essential for calculating the total resistive force. The relationship between work, force, and distance is crucial in determining how much energy the car expends against resistive forces such as friction and air resistance.

PREREQUISITES
  • Understanding of horsepower and its conversion to watts
  • Basic knowledge of Newton's laws of motion
  • Familiarity with the concepts of work, force, and distance
  • Ability to perform calculations involving units of force (Newtons)
NEXT STEPS
  • Study the relationship between work, force, and distance in physics
  • Learn about the effects of friction and air resistance on vehicle dynamics
  • Explore the calculation of power in mechanical systems
  • Investigate how to apply the work-energy principle in real-world scenarios
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in understanding vehicle dynamics and resistive forces affecting cars.

physicsgurl12
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Homework Statement


A car needs to generate 75 hp in order to maintain a constant velocity of 27.3m/s on a flat road. What is the magnitude of the total resistive force acting on the car. (due to friction,air resistance etc.)


Homework Equations



1hp=746 watts

The Attempt at a Solution

the answer is 2.05*10^3N but idk how to get it.
 
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physicsgurl12 said:

Homework Statement


A car needs to generate 75 hp in order to maintain a constant velocity of 27.3m/s on a flat road. What is the magnitude of the total resistive force acting on the car. (due to friction,air resistance etc.)

Homework Equations



1hp=746 watts

The Attempt at a Solution

the answer is 2.05*10^3N but idk how to get it.
In one second how much energy does the car use? So how much work does the car do against the resisitive force in that second? Over what distance is that work done in that second? What is the relationship between Work, Force and distance?

AM
 

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