1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook