If almost any system in stable equilibrium is slightly disturbed, it will then exhibit simple harmonic motion because 1. the change in potential energy is proportional to the cube of the displacement from the equilibrium position. 2. the change in potential energy is proportional to the square of the displacement from the equilibrium position. 3. the force on a system in unstable equilibrium is zero. 4. the kinetic energy on a system in stable equilibrium is zero. 5. mechanical energy is conserved. 6. momentum is conserved. 7. the force on a system in stable equilibrium is zero. 8. the momentum of a system in stable equilibrium is zero. 9. momentum and mechanical energy are both conserved. 10. the change in potential energy is proportional to the displacement from the equilibrium position.

the change in potential energy is proportional to the displacement from the equilibrium position. The correct option is 10.

Explanation:

Simply harmonic motion is the continuous back and forth movement of an object through an equilibrium position and the force responsible for the motion is always directed towards equilibrium position which is directly proportional to the distance from it. Therefore the change in potential energy is proportional to the displacement from the equilibrium position.

Example of simple harmonic motion includes:

- Motion of a mass on a spring and

-motion of simple pendulum.

As the object starts to move, the elastic potential energy is converted into kinetic energy, becoming entirely kinetic energy at the equilibrium position.

For simple harmonic motion to occur, acceleration of the object will always be in opposite direction to the displacement from the equilibrium position.