In a simple harmonic motion, if the amplitude is increased, what happens to the

Practice Questions

Q1
In a simple harmonic motion, if the amplitude is increased, what happens to the total energy of the system?
  1. It decreases
  2. It remains the same
  3. It increases
  4. It becomes zero

Questions & Step-by-Step Solutions

In a simple harmonic motion, if the amplitude is increased, what happens to the total energy of the system?
  • Step 1: Understand what simple harmonic motion (SHM) is. It is a type of periodic motion where an object moves back and forth around a central point.
  • Step 2: Know that in SHM, the total energy of the system is made up of potential energy and kinetic energy.
  • Step 3: Learn that the total energy in SHM is directly related to the amplitude of the motion. Amplitude is the maximum distance from the central point.
  • Step 4: Remember the formula for total energy in SHM: Total Energy = (1/2) * k * A^2, where k is a constant and A is the amplitude.
  • Step 5: Realize that if the amplitude (A) increases, the total energy increases because it is proportional to the square of the amplitude (A^2).
  • Step 6: Conclude that when the amplitude increases, the total energy of the system also increases.
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