Kinetic energy to thermal energy

AI Thread Summary
The discussion centers on converting kinetic energy to thermal energy in a car's braking system. The user calculates the kinetic energy using the formula 1/2 mv² and attempts to relate it to thermal energy with Q = cmΔT, arriving at a temperature change (ΔT) of 134.56. However, the calculation is hindered by missing information regarding the number of brakes on the car. Participants suggest assuming four brakes, which is common, but question the relevance of the moment of inertia in this context. Ultimately, the lack of specific data on the brakes and wheel characteristics complicates the ability to definitively answer the problem.
goonking
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Homework Statement


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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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