What is the relationship between the potential energy and kinetic energy in simp

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Question: What is the relationship between the potential energy and kinetic energy in simple harmonic motion at maximum displacement?

Options:

Correct Answer: PE > KE

Solution:

At maximum displacement, all energy is potential energy (PE), and kinetic energy (KE) is zero.

What is the relationship between the potential energy and kinetic energy in simple harmonic motion at maximum displacement?

What is the relationship between the potential energy and kinetic energy in simple harmonic motion at maximum displacement?

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: Identify the two types of energy involved in SHM: potential energy (PE) and kinetic energy (KE).
Step 3: Recognize that potential energy is stored energy, while kinetic energy is the energy of motion.
Step 4: Know that in SHM, the object reaches maximum displacement at the farthest points from the center.
Step 5: At maximum displacement, the object is momentarily at rest, meaning it is not moving.
Step 6: Since the object is not moving at maximum displacement, its kinetic energy (KE) is zero.
Step 7: All the energy at this point is stored as potential energy (PE), which is at its maximum value.

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