25. If the following waves are superposed y1 = A Cos[k x – w t] and...

25. If the following waves are superposed y1 = A Cos[k x – w t] and y2 = A Cos[k x + w t] where A = 0.2 cm, f = 10 Hz and c = 10 m/s. (a) Sketch the waveform at time t = 0 and t = 1/40 s. (b) What is the distance between the nodes. (c) Determine the kinetic and potential energy contained within the string section between the a node and an antinode. (d) Show that the total energy between the node and antinode is a constant in time. Why is this physically reasonable?

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