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A 0.20-kg block is attached to a light, horizontal spring of stiffness 64 N/m; the other...

A 0.20-kg block is attached to a light, horizontal spring of stiffness 64 N/m; the other end of the spring is attached to a wall; the block is free to oscillate on a frictionless, horizontal surface. What is the time interval for one complete cycle?

If the block is released from rest when the spring is stretched from its relaxed length by 3.0 cm, how much mechanical energy does the system possess? What is the maximum speed of the block?

Please show all work and units, thanks!

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Answer #1

w = sqroot(k/m) = sqroot(64/0.2) = 17.88 rad/s = 2*pi/T
T = 0.351 s

ME = 0.5kx^2 = 0.0288 J
When speed is max, ME = KE = 0.5mv^2
v = 0.5366 m/s

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