A 0.900-kg block attached to a spring with force constantk = 1.20 N/m oscillates with an amplitude equal to halfits natural length. The natural (un-stretched) length of the springis 18.0 cm.
(a) When submitting your work, sketch the figure below illustratingthe position, and directly underneath that, the velocity of themass as a function of time. Assume that x = 9.00 cm andv =0 m/s when t = 0.00 s. Label the amplitudeA and period T of the motion directly on thegraph. Show at least one complete oscillation for each.
(b) What is the angular frequency of the oscillations?
(c) Find the maximum speed of the block.
(d) Find the time it takes to move from 9.00 cm to 4.50 cm (halfthe amplitude).
(e) Find the acceleration of the block at 4.50 cm displacement.