Problem 38. (20 pts) A string of mass per unit length µi=0.2 kg/m is joined to a second string of mass per unit lengthµ2= 0.5 kg/ m. The strings are

under a tension of 80 N. The strings are along the z-direction and an incident pulse is launched in string one moving towards positive z and towards the junction of the two strings. Let the incident pulse be a rectangular pulse of height 10 cm and width 5 cm. A) Find the impedances of the strings and the speeds at which pulses travel in the strings. B) Find the reflection and transmission coefficients p and t. C) Find the heights and widths of the reflected and transmitted pulses. D) Sketch the shape of the string some time after the incident pulse has encountered the join between the strings. (So that only the reflected and transmitted pulses are in the strings.) Be sure to indicate the position of the join between the strings