Engine power and car acceleration

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Homework Help Overview

The discussion revolves around calculating the percentage of engine power that contributes to the acceleration of a Porsche® 911 GT3, which has a specified engine power and mass. The problem involves concepts from physics related to power, energy, and acceleration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore how to calculate the power required for acceleration and question the assumptions regarding energy losses during the process. There are discussions about the kinetic energy at a certain speed and the relationship between power, energy, and time.

Discussion Status

The discussion is active with various approaches being suggested. Some participants express skepticism about the completeness of the problem due to potential unaccounted losses, while others propose methods to calculate the necessary power and energy. There is no explicit consensus, but multiple lines of reasoning are being explored.

Contextual Notes

Participants note the lack of information regarding energy losses from factors such as friction and auxiliary systems, which complicates the calculation of the percentage of power used for acceleration.

linnus
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Homework Statement


The Porsche® 911 GT3 has a 380 hp engine and a mass of 1.4×103 kg. The car can accelerate from 0 to 100 km/h in 4.3 seconds. What percentage of the power supplied by the engine goes into making the car move? Assume that the car's acceleration is constant and that there are 746 Watts/hp.


Homework Equations


p=w/t
k=1/2mv^2
a=v/t

The Attempt at a Solution



Not sure...
 
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Power of engine in Watts?

Energy to accelerate 1.4×10^3 kg from 0 to 100 km/h?

Power to do that in 4.3 seconds?
 
What will the kinetic energy of the car be at 100 km/h?

Power is change of energy per change in time. You calculate change in energy and you are given change in time.
 
so you would do
power that it uses for it to reach its final velocity/total power right?
 
Actually its a stupid question. Or maybe a trick question.

"What percentage of the power supplied by the engine goes into making the car move?" Trivially: we have no information about losses -- services such as airco, electrical power, servo etc and frictional losses -- so must assume these are zero. A growed up question would not simply ignore those. More seriously we have no information about how much power the engine supplies, only about the max it can supply. Maybe, just maybe, it wasn't running at max power RPM with the throttle mashed into the carpet. Ignoring losses ALL the power the engine supplies goes into making it move. Where else would it go?

"An airplane crashes on the border of USA and Canada. Where do they bury the survivors?"

"Have you stopped beating your wife yet?"
 
You find the power that it took to reach that speed. Actually, you find the ENERGY it took to reach that speed, then divide it by the time it took to reach that speed to get power.

Then you divide that my the engine's power to get a fractional part.
 

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