Energy in SHM: an Object Weighing 44

Essay

Energy in SHM: An object weighing 44.1 N hangs from a vertical massless ideal spring. When set in vertical motion, the object obeys the equation y(t) = (6.20 cm) cos[(2.74 rad/s)t - 1.40].
(a) Find the time for this object to vibrate one complete cycle.
(b) What are the maximum speed and maximum acceleration of the object.
(c) What is the TOTAL distance the object moves through in one cycle.
(d) Find the maximum kinetic energy of the object.
(e) What is the spring constant of the spring.