Kinetic energy to thermal energy

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Homework Help Overview

The discussion revolves around the conversion of kinetic energy to thermal energy in the context of a car's braking system. The original poster attempts to calculate the change in temperature resulting from the kinetic energy of a car moving at 55 mph, using relevant equations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the initial calculations involving kinetic energy and temperature change, while questioning the assumptions regarding the number of brakes on the car. There is also consideration of the moment of inertia of the wheels and its relevance to the problem.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and the implications of missing information. Some guidance has been offered regarding assumptions about the braking system, but no consensus has been reached on how to proceed with the calculations.

Contextual Notes

Key information regarding the number of brakes and the moments of inertia of the wheels is noted as missing, which affects the ability to fully address the problem.

goonking
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Homework Statement


upload_2015-5-14_23-5-6.png


Homework Equations



Q = c m ΔT

The Attempt at a Solution


so converting 55 mph to meters per sec gives me a velocity of 24.58 m/s

kinetic energy of car is 1/2 m v2

i set 1/2 m v2 = c m ΔT
plugging in v and c and masses of both

ΔT = 134.56

is that correct?
 
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There is a central piece of information missing here: How many brakes does the car have? That is, how many of the car's wheels have brakes.
 
Orodruin said:
There is a central piece of information missing here: How many brakes does the car have? That is, how many of the car's wheels have brakes.
so there is no way i can answer this question? or do i just assume its 4? 1 for each wheel
 
goonking said:
so there is no way i can answer this question? or do i just assume its 4? 1 for each wheel

Unless you are a mind reader, no. I am not very familiar with cars, but I would assume that either all wheels or one pair of wheels would have brakes.
 
Orodruin said:
Unless you are a mind reader, no. I am not very familiar with cars, but I would assume that either all wheels or one pair of wheels would have brakes.
So if we choose 4 wheels as it is most common, then has moment of inertia a role here?
 
Raghav Gupta said:
So if we choose 4 wheels as it is most common, then has moment of inertia a role here?
In principle, yes, but we have no information on the moments of inertia of the wheels or their radius. Besides, it would be small compared with the linear KE of the vehicle.
 
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