An undamped 1.66-kg horizontal spring oscillator has a spring constant of 35.0 N

Question

An undamped 1.66-kg horizontal spring oscillator has a spring constant of 35.0 N/m. While oscillating, it is found to have a speed of 3.49 m/s as it passes through its equilibrium position. What is its amplitude of oscillation?

An undamped 1.66-kg horizontal spring oscillator has a spring constant of 35.0 N/m. While oscillating, it is found to have a speed of 3.49 m/s as it passes through its equilibrium position. What is its amplitude of oscillatio Number What is t he oscillators total mechanical energy as it passes through a position that is 0.794 of the amplitude away from the equilibrium position? Number

Explanation / Answer

Conserving energy we get

rotational = kinetic

0.5 kA^2 = 0.5mv^2

A = 0.76 m

So we get mechanical energy = 0.5 mV^2 = 10.11 J

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