A 0.25kg mass attached to a vertical spring executes SHM. Its maximum speed during the motion is 1.8ms−1. At an instant when its displacement from the equilibrium position is 0.060m, the speed of the mass is observed to be 1.2ms−1.
a. (i) Determine the amplitude of oscillation.
b. (ii) Calculate the force constant of the spring.
c. (iii) Find the total mechanical energy of the system.