1. A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1J. If the oscillation...

1. A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1J. If the oscillation amplitude is 20.0cm. what is the oscillation frequency?

2. A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the force constant (spring constant) of the spring?

3. An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field. The spring stretches 2.2cm before it reaches its equilibrium position. If it were now allowed to oscillate by this spring, what would be its frequency?

4. A 0.39-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is 570N/m. The block is pulled from its equilibrium position at x = 0.000 m to a displacement x = +0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. When the position of the block is 0.057m, its kinetic energy is closest to?

Solve by steps and explanation!

Expert Solution

The kinetic energy of the block is 0.898 J

genius_generous answered 1 year ago

Show that the total energy of a harmonic oscillator in the absence of friction is conserved.

Mechanical vibration. Examples of forced damped oscillation with harmonic force.

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