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2.0 kg block on a horizontal frictionless surface is attached to a spring whose force constant...

2.0 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 590 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest. The block then executes simple harmonic motion along a horizontal x-axis. What is the period (in s) of the resulting motion?

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Answer #1

Mass of the box = m = 2 kg

Force constant of the spring = k = 590 N/m

Amplitude of the motion = A = 0.08 m

Time period of the motion = T

Time period for the simple harmonic motion is given by,

T = 0.366 sec

Time period of the resulting motion = 0.366 sec

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