Topic: Motion Analysis of Passing Cars with Fixed Power and Variable Force

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SUMMARY

The discussion centers on the motion analysis of two cars, where one car moves at a constant velocity while the second car, referred to as the passer, has a fixed power output. The passer's maximum force is determined by the equation P/|Vpasser|, highlighting the relationship between power, force, and velocity. Participants emphasize that the force exerted by the passer is not constant, leading to variable acceleration and complex motion dynamics. Understanding these principles is crucial for analyzing the motion graphs of both vehicles.

PREREQUISITES
  • Understanding of basic physics concepts such as power, force, and velocity.
  • Familiarity with the equations of motion and their graphical representations.
  • Knowledge of how power relates to force and speed in mechanical systems.
  • Basic calculus for analyzing variable acceleration and motion graphs.
NEXT STEPS
  • Study the relationship between power and force in mechanical systems using the formula P = F × V.
  • Learn about the equations of motion for objects with variable acceleration.
  • Explore graphical analysis of motion, focusing on velocity and acceleration graphs.
  • Investigate real-world applications of power in automotive engineering and performance analysis.
USEFUL FOR

This discussion is beneficial for physics students, automotive engineers, and anyone interested in understanding the dynamics of vehicle motion, particularly in scenarios involving fixed power and variable forces.

TszHin
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Hey there! I was hoping to get some help on this question, I am not quite sure what I am suppose to do! :(

Question: Consider the problem of the passing of one car by another. Assume that one car is moving at constant velocity, and the second car, the passer, has an initial velocity less then that of the other car. Assume that the power (P) of the passer is fixed, and therefore the (maximum) force applied by the engine is P/|Vpasser| (why?). What are the motions of the cars?

Im not exactly sure what this question wants me to do! help would be much appreciated! :)
 
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What's the definition of power? Start there.
 
Welcome to PF!

Hey TszHin! Welcome to PF! :smile:
TszHin said:
… Assume that the power (P) of the passer is fixed, and therefore the (maximum) force applied by the engine is P/|Vpasser| (why?). What are the motions of the cars?

Im not exactly sure what this question wants me to do!

the force is not constant, it depends on the speed

so the acceleration won't be constant … so what will the graph look like? :wink:

(and power = energy per time = force x distance per time = force x speed)
 

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