A mass (m=5kg) is attached to a horizontal spring and placed on a frictionless surface. The spring-mass system is compressed, and released. The mass completes 5 full oscillations in 4 seconds.
(a) What is spring-mass system's period of oscillation and natural frequency?
(b) What is the spring constant of the spring?
(c) The spring-mass system is stopped and placed at equilibrium. The system is then given an initial velocity of 5 m/s. What is the total energy of the spring-mass system?
(d) What is the spring-mass system's amplitude of oscillation from part (c)?