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Gaussian pulse propagating along a string, energy, momentum

For a Gaussian pulse propagating along a string, calculate kinetic and potential energies and momentum.

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The formulation of the task lacks some details, so I made the following guesses:

(1) The wave is longitudinal elastic

(2) f(x,t) is the displacement of a point which would be at x in equilibrium.

(3) The area B of the cross section of the wire ...

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