1. Consider a horizontal mass-spring system on a frictionless table, where a 0.907 kg mass is attached to a spring with a force constant of 87.5 N/m. The mass is displace 0.156 m from equilibrium and released. Assuming SHM for the system, a. With what frequency does it Vibrate? (3) b. Write an expression for the position as a function of time and make the plot. (3) c. What is the speed of the mass when it is 0.078 m from equilibrium? (2) d. What is the total energy stored in this system? (2) What is the ratio of the kinetic energy to the potential energy when it is at 0.078 m from equilibrium? (2) f. Draw a graph with kinetic energy, potential energy, and total mechanical energy as functions of time. (3) SD