Elastic Potential Energy SPH3U

Hooke’s Law The magnitude of the force Fx required to stretch or compress an ideal spring is directly proportional to x, the displacement of the spring from its equilibrium position:

Spring Constant The constant of proportionality k depends on the properties of the spring.

Spring Constant The constant of proportionality k depends on the properties of the spring.

Elastic Potential Energy The energy stored in objects that are stretched or compressed (or bent or twisted) is called elastic potential energy Ee.

Elastic Potential Energy The energy stored in objects that are stretched or compressed (or bent or twisted) is called elastic potential energy Ee.

Elastic Potential Energy The energy stored in objects that are stretched or compressed (or bent or twisted) is called elastic potential energy Ee. the average force

Elastic Potential Energy The energy stored in objects that are stretched or compressed (or bent or twisted) is called elastic potential energy Ee. Note that work is equal to the area under the force-displacement graph.

Example A ball of mass 0.10 kg is hung from a vertical spring that stretches to a new equilibrium position 0.20 m below the initial position. What is the spring constant of the spring? What was the maximum extension of the spring before it came to rest at its new equilibrium position?

Example What is the spring constant of the spring?

Example What is the spring constant of the spring?

Example What is the spring constant of the spring?

Example What is the spring constant of the spring? The force stretching the spring is the weight of the ball.

Example What is the spring constant of the spring?

Example What is the spring constant of the spring?

(b) What was the maximum extension of the spring before it came to rest at its new equilibrium position?

(b) What was the maximum extension of the spring before it came to rest at its new equilibrium position?

(b) What was the maximum extension of the spring before it came to rest at its new equilibrium position?

The system will oscillate about its final equilibrium position before being brought to rest.