Conservation of Energy Chapter 5 Conservation of Energy

Work-Energy Theorem For moving objects such as cars: The more kinetic energy it has, the more work is required to stop it. Twice as much kinetic energy means twice as much work. Brakes do work on wheels (you do work by pushing the brake pedal). When a car brakes, the work is the friction force (supplied by the brakes) multiplied by the distance over which the friction force acts. KE is transformed by work (friction) into thermal energy, sound energy and larger-scale vibrations.

9.7 Conservation of Energy The law of conservation of energy states that energy cannot be created or destroyed. It can be transformed from one form into another, but the total amount of energy never changes. For any system in its entirety—as simple as a swinging pendulum or as complex as an exploding galaxy—there is one quantity that does not change: energy. Energy may change form, but the total energy stays the same.

9.7 Conservation of Energy When energy is transformed, it is conserved, meaning that it will change form without losing its original amount of energy.

9.7 Conservation of Energy When the woman leaps from the burning building, the sum of her PE and KE remains constant at each successive position all the way down to the ground. Assume no air resistance!

9.7 Conservation of Energy Elastic potential energy will become the kinetic energy of the arrow when the bow does work on the arrow. As you draw back the arrow in a bow, you do work stretching the bow. The bow then has potential energy. When released, the arrow has kinetic energy equal to this potential energy. It delivers this energy to its target.

9.7 Conservation of Energy Part of the PE of the wound spring changes into KE. The remaining PE goes into heating the machinery and the surroundings due to friction. No energy is lost.

9.7 Conservation of Energy Same energy transformation applies 10 J of PE does 8 J useful work on the arrow and 2 J of non-useful work on the molecules that compose the bow and string and arrow. The arrow has 8 J of KE. The 2 J of heat can be called non-useful work (work that is not part of the object’s total mechanical energy).

9.7 Conservation of Energy Everywhere along the path of the pendulum bob, the sum of PE and KE is the same. Because of the work done against friction, this energy will eventually be transformed into heat (mechanical to non-mechanical energy).

Useful vs. Non-Useful Energy Useful energy is total mechanical energy TME = PE + KE Non-useful energy are those forms that cause the TME to decrease. Otherwise known as non-mechanical energy! Thermal energy (heat from friction) Sound energy Vibrations not related to the original motion of the object Example: friction decreases KE, causing the object to decrease in speed and causing the object and it surrounding to increase in temperature. Can also be referred to as useful and non-useful work.

Watch how KE and gravitational PE transform Where is the KE at the maximum? Where is the PE at the maximum? How is PE stored?

Watch the change in height vs. the change in speed! How does the change in height affect KE and PE?

What happens to KE and TME when the brakes are applied What happens to KE and TME when the brakes are applied? What work is being done?

Watch the transfer of KE and PE. What happens to the PE when the skier moves down the hill? What happens to the KE and TME when the skier travels over the unpacked snow? What work is done?