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By what factor would the energy carried by the rope change

  1. May 11, 2008 #1
    1. The problem statement, all variables and given/known data
    The amplitude of a wave in a rope is [tex]15 \ mm[/tex]. If the amplitude were changed to [tex]20 \ mm[/tex]. Keeping the frequency the same, by what factor would the energy carried by the rope change?

    2. Relevant equations
    [tex]intensity \propto (amplitude)^2 [/tex]

    3. The attempt at a solution
    [tex]amplitude_1 = 15 \times 10^{-3} \ m[/tex]
    [tex]amplitude_2 = 20 \times 10^{-3} \ m[/tex]

    What to do next:confused:
  2. jcsd
  3. May 11, 2008 #2


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    Staff Emeritus
    Science Advisor
    Homework Helper

    First, by what factor does the amplitude change?

    One consequence of the equation you wrote is that

    [tex]\frac{I_2}{I_1} = (\frac{A_2}{A_1})^2[/tex]
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