Calculating Energy of Two Transverse Waves

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SUMMARY

The discussion focuses on calculating the energy of two transverse waves on a string, specifically defined by the equations y = Asin(kx + wt) and y = Asin(kx - wt). The first wave is active between kx + wt = π and 2π, while the second wave is active for kx - wt between -2π and -π. The energy calculation is to be performed at time t = 0, utilizing the principles of wave energy as outlined in the referenced educational resource.

PREREQUISITES
  • Understanding of wave mechanics, specifically transverse waves.
  • Familiarity with the wave equation and its components (amplitude, wave number, angular frequency).
  • Knowledge of energy calculations for waves on a string.
  • Basic trigonometric functions and their properties.
NEXT STEPS
  • Study the energy formula for transverse waves on a string.
  • Explore the concept of wave interference and its effects on energy distribution.
  • Learn about the principles of superposition in wave mechanics.
  • Review the provided resource on analyzing wave energy for deeper insights.
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators seeking to enhance their understanding of energy calculations in wave phenomena.

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Homework Statement



Two transverse waves are on the same piece of string. The first has non-zero displacement only for kx + wt between pi and 2pi when it is equal to Asin(kx+wt). The second has y=Asin(kx-wt) for kx-wt between -2pi and -pi and is zero otherwise. Calculate the energy of the waves when t=0.

Homework Equations





The Attempt at a Solution



Ok so I've sketched the waves...they look like two wavefront (one above the axis, one below) approaching each other..

I'm just not sure how to find the energy..
 
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