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A 0.5 kg object stretches a spring 0.2 m by itself. There is no damping and no external forces acting on the system. The spring is initially dis- placed 0.4 m upwards from its equilibrium position and given an initial velocity of 1 m/s downward. The gravitational acceleration is g≈ 10 m/s². 1. Find the spring's constant k. 2. Find the displacement u(t) at any time t.

A 0.5 kg object stretches a spring 0.2 m by itself. There is no damping and no external forces acting on the system. The spring is initially dis- placed 0.4 m upwards from its equilibrium position and given an initial velocity of 1 m/s downward. The gravitational acceleration is g≈ 10 m/s². 1. Find the spring's constant k. 2. Find the displacement u(t) at any time t.

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A 0.5 kg object stretches a spring 0.2 m by itself. There is no damping and no external forces acting on the system. The spring is initially dis- placed 0.4 m upwards from its equilibrium position and given an initial velocity of 1 m/s downward. The gravitational acceleration is g≈ 10 m/s². 1. Find the spring's constant k. 2. Find the displacement u(t) at any time t.
Transcribed Image Text:A 0.5 kg object stretches a spring 0.2 m by itself. There is no damping and no external forces acting on the system. The spring is initially dis- placed 0.4 m upwards from its equilibrium position and given an initial velocity of 1 m/s downward. The gravitational acceleration is g≈ 10 m/s². 1. Find the spring's constant k. 2. Find the displacement u(t) at any time t.
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