(8%) Problem 9: A mass m = 0.85 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 9.5 cm and a frequency f = 1.05 Hz.
20% Part (a) Write an equation for the spring constant k.
20% Part (b) Calculate the spring constant k, in Newtons per meter.
20% Part (c) Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement.
20% Part (d) Calculate the total mechanical energy E, in joules.
20% Part (e) If the amplitude is doubled, what happens to the total mechanical energy? Choose the best answer.