Calculating Max Speed of a Car on a Horizontal Road

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Homework Help Overview

The problem involves calculating the maximum speed of a car moving along a horizontal road while overcoming a resistance force. The context includes the car's engine power and the opposing force it faces.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the validity of the equations presented by the original poster, particularly questioning the formula for work and its relation to power and force. There is an exploration of the correct symbols and definitions used in the context of the problem.

Discussion Status

The discussion is focused on clarifying the correct formulas related to work and power. Some participants have offered corrections and asked for the textbook's definition of work, indicating a productive exchange of ideas. However, there is no explicit consensus on how to proceed with the calculations.

Contextual Notes

There are indications of confusion regarding the correct mathematical representations and definitions, which may affect the understanding of the problem. The original poster's use of symbols has led to some misinterpretations among participants.

Kararr
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1. "A car moves along a horizontal road against a resistance of 400 N. What is the greatest speed in kph that the car can reach if the engine has a maximum power of 16.0 kW?"

Homework Equations

:
P= W/change in time
P= F x v (dot product)
Please help ):
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Last edited:
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W = F x v
is not correct

x is not the sign for a dot product
x is the cross product
 
NascentOxygen said:
W = F x v
is not correct

x is not the sign for a dot product
x is the cross product
Sorry didn't know how to put the dot symbol that's why I put it in parentheses whoops
 
Besides, work is not force times velocity...
 
Kararr said:
didn't know how to put the dot symbol that's why I put it in parentheses whoops
The symbol mistake was incidental. The major problem is your formula W = F v
is not a valid formula. What formula for work does your textbook use?
 
NTW said:
Besides, work is not force times velocity...
Edited: it's power=fv.
 
NascentOxygen said:
The symbol mistake was incidental. The major problem is your formula W = F v
is not a valid formula. What formula for work does your textbook use?
Edited, p=fv
 
So, can you use that equation to determine the "greatest speed" as the problem statement asks?
 

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