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SOLVED:(a) Show that for a wave on a string, the kinetic energy per unit length of string is uk(x, t)=(1)/(2) μvy^2(x, t)=(1)/(2) μ((∂y(x, t))/(∂t))^2 where μis the mass per unit length. (b) Calculate uk(x, t) for a sinusoidal wave given by Eq. (15.7). (c) There is also elastic potential energy in the string, associated with the work required to deform and stretch the string. Consider a short segment of string at position x that has unstretched length Δx, as in Fig. 15.13 . Ignoring the (small)
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