A block of mass m = 0.847 kg is fastened to an unstrained horizontal spring whos

Question

A block of mass m = 0.847 kg is fastened to an unstrained horizontal spring whose spring constant is k = 97.3 N/m. The block is given a displacement of +0.164 m, where the + sign indicates that the displacement is along the +x axis, and then released from rest. (a) What is the force (with sign) that the spring exerts on the block just before the block is released? (b) Find the angular frequency w of the resulting oscillatory motion. (c) What is the maximum speed of the block? (d) Determine the magnitude of the maximum acceleration of the block.

Explanation / Answer

F = kx F = -*97.3*.164 = -15.9572N b) f = ma a = 15.9572/.847 = 18.83 v= sqrt[2as] v = 2.485 m/s

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