A block of mass M=2 kg is attached to a spring of unknown spring constant κ. The system is placed vertically under the a

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A block of mass M=2 kg is attached to a spring of unknown spring
constant κ. The system is placed vertically under the action of
gravity, and the spring is observed to stretch a length until the
block is in equilibrium. The block begins to oscillate around the
equilibrium position and it is observed that at the initial time
t=0s its position with respect to the equilibrium point is y=−0.02m
with speed v=−1.0 m/s.
a) Calculate the spring constant of the spring.
b) Obtain the maximum amplitude of oscillation and the phase of
the movement.
c) Find the position as a function of time and indicate the
maximum velocity and acceleration.
d) Calculate the mechanical energy of the system.