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A 4.0 kg block produces a 16 cm deformation at rest in a vertical spring. a)...

A 4.0 kg block produces a 16 cm deformation at rest in a vertical spring.

a) Determine the spring constant.
b) Suppose that the block is replaced by another one of 0.5 kg and that afterwards it is removed from the equilibrium position. Determine the period of its oscillations.
c)Suppose that the block has a speed of 1 m/s downwards in its equilibrium position. Determine its position as a function of time. d)Determine the amplitude of the oscillations using energy conservation and compare with the result in paragraph c)
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