In the tutorial Superposition and reflection of pulses, we illustrated transverse pulses using idealized shapes that have sharp corners or "kinks." While this approximation is convenient for applying the principle of superposition, it can lead to inconsistencies when considering reflection from a free end of a spring. This inconsistency is addressed in the next problem. 1=0.05 (1 square = 10 cm) e. Consider again the situation from part d, in which Free a pulse with a speed of 1.0 m/s is incident on the end free end of a spring. i. In the space provided, show that the shape of the spring at / = 0.3 s (determined by using 1=035 (1 square = 10 cm) your model for free-end reflection) is nor consistent with the correct boundary condition for this case. ii. Note that the peak of the pulse is drawn as a sharp "kink" in the spring. How does this "kink" lead to the inconsistency mentioned above? 4. The diagram at right shows two pulses. One is being reflected from a fixed end; the other, from a free end. The diagram has several errors. Describe each error that you can find.Shown at right is a "snapshot" of a D =4 m/s D =4 m/s spring with two identical pulses traveling along it. (The size and shape of the pulses are exaggerated for clarity.) Each pulse moves with a speed of 4 m/s. and the pulses are moving toward each other. I m Sketch the shape of the spring at the following instants. Explain your reasoning in each case. . one second after the snapshot above was taken: 1 m . two seconds after the snapshot above was taken: I m 2. One end of a spring is fastened to a wall so that it cannot move. u= 3 m/s. An asymmetric pulse moves toward this end of the spring at a Wall speed of 3 m/s, as shown in the upper figure at right. On the lower figure, sketch the shape of the spring two seconds after the instant shown in the upper figure. Explain your reasoning. -1 m wall