Handwrit.e and show al work and steps for each question

x (m) A B AWNLO-NWA t (s) 1.0 2.0 3.0 4.0 FIGURE 11-51 Problem 9.11. 13. 15. 17. 19. 21. (I) If a particle undergoes SHM with amplitude 0.21 m, what is the total distance it travels in one period? (II) An elastic cord is 61 cm long when a weight of 75 N hangs from it but is 85 cm long when a weight of 210 N hangs from it. What is the \"spring\" constant k of this elastic cord? (II) A fisherman's scale stretches 3.6 cm when a 2.4-kg fish hangs from it. (a) What is the spring stiffness constant and (b) what will be the amplitude and frequency of oscillation if the fish is pulled down 2.1 cm more and released so that it oscillates up and down? (II) A mass m at the end of a spring oscillates with a frequency of 0.83 Hz. When an additional 780-g mass is added to rn, the frequency is 0.60 Hz. What is the value of m? (II) Figure 1151 shows two examples of SH M, labeled A and B. For each, what is (a) the amplitude, (b) the frequency, and (c) the period? (II) At what displacement of a SHO is the energy half kinetic and half potential? (II) A 1.65kg mass stretches a vertical spring 0.215 m. If the spring is stretched an additional 0.130 m and released, how long does it take to reach the (new) equilibrium position again? (II) A 0.25-kg mass at the end of a spring oscillates 2.2 times per second with an amplitude of 0.15 m. Determine (a) the speed when it passes the equilibrium point, (b) the speed when it is 0.10 m from equilibrium, (c) the total energy of the system, and (d) the equation describing the motion of the mass, assuming that at t: 0, x was a maximum. (II) If one oscillation has 3.0 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes? (II) A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It takes 3.6J of work to compress the spring by 0.13 m. If the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/sz. Find the value of (a) the spring constant and {b} the mass. (II) At t = 0, an 885-g mass at rest on the end of a horizontal spring (k = 184 N/m) is struck by a hammer which gives it an initial speed of 2.26 m/s. Determine (a) the period and frequency of the motion, (b) the amplitude, (c) the maximum acceleration, (d) the total energy, and (e) the kinetic energy when x = 0.40A where A is the amplitude