Calories generated in brakes of a machine

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Homework Help Overview

The discussion revolves around calculating the calories generated in the brakes of a car with a mass of 1000 kg traveling at a speed of 3 m/sec until it comes to a full stop. The participants are examining the kinetic energy involved and its conversion to kilocalories.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to calculate the kinetic energy using the formula E=\frac{1}{2}mv^2 and converting the result into kilocalories. There is discussion about the interpretation of numerical results, particularly regarding the use of decimal points versus commas in different regions.

Discussion Status

There is an ongoing exploration of the calculations and interpretations of results. Some participants express uncertainty about the reasonableness of the calculated energy in kilocalories, while others question the assumptions regarding the conversion factors and the context of the problem.

Contextual Notes

Participants highlight potential confusion regarding the distinction between gram calories and kilocalories, as well as regional differences in numerical notation. There is also a mention of the expected energy required to boil water, which adds to the discussion about the validity of the calculated values.

Karol
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Homework Statement


A 1000 kg mass car is driving at 3 [m/sec], how many kcal develop in the brakes till full stop

Homework Equations


Kinetic energy: E=\frac{1}{2}mv^2
Energetic equivalent of a kcal: 4186 [joule]

The Attempt at a Solution


##E=\frac{1}{2}1000\cdot 9=4500[joule]##
##\frac{4500}{4186}=1.07[kcal]##
It should be 1000 times bigger, 1,075[kcal]
 
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Karol said:

Homework Statement


A 1000 kg mass car is driving at 3 [m/sec], how many kcal develop in the brakes till full stop

Homework Equations


Kinetic energy: E=\frac{1}{2}mv^2
Energetic equivalent of a kcal: 4186 [joule]

The Attempt at a Solution


##E=\frac{1}{2}1000\cdot 9=4500[joule]##
##\frac{4500}{4186}=1.07[kcal]##
It should be 1000 times bigger, 1,075[kcal]
I get your answer. Is there perhaps a confusion between decimal comma and decimal point?
 
by you get my answer you mean you also get the same result? i don't know if there's a confusion between a comma and a decimal point, but please tell me if the result of 1 kcal is reasonable? it isn't, right? so my answer isn't correct
 
Karol said:
by you get my answer you mean you also get the same result? i don't know if there's a confusion between a comma and a decimal point, but please tell me if the result of 1 kcal is reasonable? it isn't, right? so my answer isn't correct
I mean I agree with your answer, a bit over one kcal. But in continental Europe, that could be written 1,075, no?
 
I don't know about europe, I'm interested in my result. 1.07 kcal seems to me too low for that mass and speed, isn't it? and 1075 cal are gram calories, the heat needed to raise the temperature of one gram of water. my result is indeed 1075 gram calories, but i ask about kg calories, kcal. i think the answer must be 1075 kcal, it seems more reasonable
 
Karol said:
I don't know about europe, I'm interested in my result.
Bear in mind that I do not know where you are or where your textbooks come from. Many on these forums are in continental Europe. I'm trying to understand why you are told the right answer is "1,075 kcal", when you and I both calculate it as just over 1 kcal.
1.07 kcal seems to me too low for that mass and speed, isn't it? and 1075 cal are gram calories, the heat needed to raise the temperature of one gram of water. my result is indeed 1075 gram calories, but i ask about kg calories, kcal. i think the answer must be 1075 kcal, it seems more reasonable
No, 1 kcal seems reasonable to me. 3m/s is not very fast. I would not expect the generated heat to be enough to boil off a litre of water![/QUOTE]
 
You are probably right. but to boil 1 liter, from 00 to 1000 we need only 100 kcal, so 1075 is much more than to boil 1 liter of water, no?
 

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