Problem 40. (20 pts) A string of mass per unit length µi=0.2kg/m is joined to a second string of mass per unit lengthµ2=0.5 kg/ m. The strings are under a

tension of 40 N. The strings are along the z-direction and an incident harmonic wave of the form given below is launched in string one moving towards positive z and towards the junction of the two strings. y_{I}=(0.05 \mathrm{~m}) \cos \left(\left(\frac{8 \pi}{\mathrm{s}}\right) t-k_{I} z\right) A) Find kj. B) Find the form of the reflected wave. C) Find the form of the transmitted wave. D) Find the power carried by the incident wave. E) Find the power carried by the reflected wave. F) Find the power carried by the transmitted wave.