By what factor would the energy carried by the rope change

  • Thread starter looi76
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  • #1
looi76
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Homework Statement


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?

Homework Equations


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

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:
 

Answers and Replies

  • #2
Redbelly98
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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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