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A 4.00 kg block hangs from a spring, extending it 16.0 cm from its unstretched position....

A 4.00 kg block hangs from a spring, extending it 16.0 cm from its unstretched position.

(a.) What is the spring constant? = 245 N/m

(b.) The block is removed, and a 0.500 kg mass is hung from the same spring. If the spring is then stretched and released, what is its period of oscillation? =.284 sec

(c.) Write the unique equation of motion y(t) for the motion of the mass in part (b), assuming the mass was initially pulled 4cm away from its equilibrium stretched position, held at rest, then released at t=0. Also provide the velocity v(t). =?

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