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Match head rubbed over a distance

  1. Feb 14, 2010 #1
    Hi, I'm trying to work this problem out and unfortunately my book doesn't have an explanation.

    1. The problem statement, all variables and given/known data

    A match head is rubbed a distance d over a rough surface in order to increase the temperature to its flash point. If the patch head material has a mass m and a specific heat c, which equation represents the average force needed to raise the match head's temperature by [tex]\Delta[/tex]T?

    2. Relevant equations

    The answer is:

    [tex]F=\frac{mc\Delta T}{d}[/tex]

    3. The attempt at a solution

    Do I simply set specific heat capacity (Q) to W: [tex]Q=W[/tex] and get:

    [tex]mc\Delta T=Fd[/tex]

    and move d over?

    I'm working in a MCAT study book and it doesn't go into detail about the heat capacity equation that it gives me, but I'm trying to understand this a little more fully. Thanks for any help!
     
  2. jcsd
  3. Feb 14, 2010 #2

    kuruman

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    Science Advisor
    Homework Helper
    Gold Member

    Yes. The answer assumes that all the "work" done by the force of friction F is converted to heat.
     
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