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A 0.900-kg block attached to a spring with force constant k = 1.20 N/m oscillates with...

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Physics

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?

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(c) Find the maximum speed of the block.

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(d) Find the time it takes to move from 9.00 cm to 4.50 cm (halfthe amplitude).

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(e) Find the acceleration of the block at 4.50 cm displacement.

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