Problem 1. A 56 g mass is attached to a spring and moves along the x-axis in simple harmonic motion. The particle starts at its equilibrium position x = 0 and initially moves to the right. The amplitude of the motion is 2.0 cm, and the frequency is 1.50 Hz. (a) Find the displacement of the particle as a function of time, x(t). (b) What is the total mechanical energy of the mass-spring system? (c) Find the earliest time after t = 0 at which the particle has its maximum speed. Problem 2. The following plot shows the vertical displacement y of a portion of a string as a function of the position 3: along the string at time t = 2.0 s {i.e., what your book calls a \"snapshot\" plot). As indicated in the plot, the wave moves to the right with wave speed 1.0 m/ s. y (cm) _1 1.0 m/sIv (a) Graph the displacement of the string as a function of x at t = 0s, t = 1s, t = 3s, and t = 4s. (b) Plot the displacement of the point on the string at x = 4m at times t = 0s, t = 1 s, t = 2s, t= 3s, and t = 4s. {This is a \"history\" plot of the point at x = 4m.)