Energy Conservation in Simple Harmonic Motion

The video tutorial discusses a question about the variation of potential and total energy with displacement in a system undergoing simple harmonic motion (SHM). It explains the system of a body attached to a spring and how energy graphs represent the relationship between kinetic and potential energy. The tutorial emphasizes that total energy remains constant, while potential energy varies with displacement, reaching its lowest at the equilibrium position. The correct graph option is identified, and viewers are encouraged to ask questions if they have doubts.

What is the main focus of the problem discussed in the video?

• Learning about the laws of thermodynamics.

• Identifying the graph of potential and total energy in simple harmonic motion.

• Calculating the speed of a body in motion.

• Understanding the concept of gravitational force.

In the system described, what remains constant as the body moves?

• Kinetic energy

• Potential energy

• Displacement

• Total energy

How does the potential energy change when the kinetic energy increases?

• Potential energy decreases

• Potential energy remains constant

• Potential energy doubles

• Potential energy increases

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

• They are always equal

• They vary inversely

• They are independent of each other

• They both increase simultaneously

What happens to the potential energy at the equilibrium position?

• It is at its maximum

• It is at its minimum

• It is zero

• It is equal to kinetic energy

At which point is the potential energy highest in simple harmonic motion?

• At the center

• At the maximum displacement

• At the starting point

• At the equilibrium position

What is the significance of the equilibrium position in terms of energy?

• It is where total energy is zero

• It is where both energies are equal

• It is where potential energy is zero

• It is where kinetic energy is zero

What should be checked to determine the potential energy at the center?

• The position of the object

• The speed of the object

• The temperature of the environment

• The mass of the object

Which option was identified as the correct answer in the mark scheme?

• Option D

• Option C

• Option B

• Option A

What does the mark scheme confirm about the correct graph?

• It shows total energy is constant

• It shows kinetic energy is always decreasing

• It shows displacement is constant

• It shows potential energy is always increasing