A lightweight spring of unknown force constant is suspended vertically. A small block of mass 250g is attached to its lower end and the system is set into vertical oscillation. The measured time period is 0.90s.
(a) Calculate the force constant of the spring.
(b) Find the natural frequency of oscillation of the system.
(c) If the amplitude of oscillation is 3.0cm, determine the total time taken to complete 500 oscillations.