Success Criteria:
I can calculate the kinetic energy of an object given its mass and velocity.
I can calculate the gravitational potential energy of an object at a given height.
I can explain the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.
I can calculate the elastic potential energy stored in a spring when it is compressed or stretched.
I can state Hooke's Law, which relates the force exerted by a spring to its displacement.
Fun Fact
When you stretch a rubber band, you're storing elastic potential energy in it. When released, that energy converts to kinetic energy, which can propel the rubber band across the room! This is a great example of how potential energy can quickly transform into motion.
Key terms
Mechanical Energy: The sum of kinetic energy and potential energy in a system; it represents the energy associated with the motion and position of an object.
Kinetic Energy (KE): The energy an object possesses due to its motion, calculated using the formula KE=1/2mv2
Potential Energy (PE): The energy stored in an object due to its position or configuration, commonly gravitational potential energy, calculated as PE=mgh
Work-Energy Theorem: A principle stating that the work done on an object is equal to the change in its kinetic energy, expressed as W=ΔKE
Hooke's Law: A principle that states the force needed to extend or compress a spring by some distance is proportional to that distance, expressed as F=kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.
Elastic Potential Energy: The potential energy stored in an elastic object, such as a spring, when it is deformed (stretched or compressed), calculated using the formula EPE=1/2kx, where k is the spring constant and x is the displacement from the equilibrium position.
Learning Tasks
Chapter 13.2 Key Knowledge Questions p.417 of Textbook