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A 0.92 kg mass is attached to a light spring with a force constant of 30.9...

A 0.92 kg mass is attached to a light spring with a force constant of 30.9 N/m and set into oscillation on a horizontal friction-less surface. If the spring is stretched 5.0 cm and released from rest, determine the following.

(a) maximum speed of the oscillating mass? in m/s ?

(b) speed of the oscillating mass when the spring is compressed 1.5 cm? in m/s ?

(c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position? in m/s ?

(d) value of x at which the speed of the oscillating mass is equal to one-half the maximum value? in m?

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