In a harmonic oscillator, the total mechanical energy is constant. What is the f

Practice Questions

Q1
In a harmonic oscillator, the total mechanical energy is constant. What is the form of this energy?
  1. Kinetic energy only
  2. Potential energy only
  3. Sum of kinetic and potential energy
  4. None of the above

Questions & Step-by-Step Solutions

In a harmonic oscillator, the total mechanical energy is constant. What is the form of this energy?
Correct Answer: Total mechanical energy = Kinetic energy + Potential energy
  • Step 1: Understand what a harmonic oscillator is. It is a system that moves back and forth in a regular pattern, like a mass on a spring.
  • Step 2: Recognize that in a harmonic oscillator, there are two types of energy: kinetic energy (energy of motion) and potential energy (stored energy due to position).
  • Step 3: Know that the total mechanical energy is the sum of kinetic energy and potential energy.
  • Step 4: Remember that in a harmonic oscillator, this total mechanical energy does not change over time; it stays constant.
  • Step 5: Conclude that the form of the total mechanical energy is the combination of kinetic and potential energy.
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