Problem 6: A mass m = 0.65 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 1.5 cm and a frequency f = 0.35 Hz.
Part (a) Write an equation for the spring constant k.
Part (b) Calculate the spring constant k, in Newtons per meter.
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.
Part (d) Calculate the total mechanical energy E, in joules.
Part (e) If the amplitude is doubled, what happens to the total mechanical energy? Choose the best answer
E increases by a factor of four.
It cannot be determined with the information provided.
E remains unchanged.
E is halved.
E doubles.