A 40 cm spring when under no load, hanging vertically from a stable surface with a mass of 1kg attached to the opposing end. Assume the system is isolated with no friction. The spring constant is k = 85 N/m. (a) What is the length of the spring when this system is at equilibrium? (b) If the mass is pulled 30 cm away from its equilibrium position, what is the force applied to the mass in that position by the person holding it down? (c) If the mass is released 30 cm away from its equilibrium position, what would be the mechanical energy of the system? (d) Calculate the maximum speed that the mass can reach. Where would the mass be when it reaches maximum speed? Justify your answers. (e) Calculate what length a pendulum with the same mass would need to be to have the same oscillation period as this mass-spring system. Assume no friction in both cases. (f) While conducting this experiment, the spring is pulled hard enough such that the mass impacts the stable top surface. This creates a sounds with power P = 6 106 W. If you are standing 10 m away from the impact, what is the intensity (in W/m2 ) of the sound at your location? In addition to this, what is the sound intensity level (in dB) of the sound you hear?