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Conservation of Energy Everything that happens in the universe involves some kind of energy transformation. Every energy transformation comes with a cost. Energy is defined as the ability to do work, which commonly means to bring about changes in our environment. Conservation of Energy In physics: work is done when an object is pushed or pulled through a distance. The exertion of a force does not guarantee that you are doing work. You must actually be moving something with your force! Many things that we commonly think of as “work” do not qualify under the definition in physics. Conservation of Energy Jed leans against the brick wall. Ned pushes hard against it to the point of exhaustion. Who, if anyone, is doing work? Conservation of Energy The amount of work done is proportional to the force used. It takes twice as much work to lift two books. W∝F Conservation of Energy Work is also proportional to the distance the object is moved. It takes twice as much work to push one book twice as far. W∝d Mathematical Definition of Work Units of Measurement Work is measured in Joules. Force is measured in Newtons. Distance is measured in Meters. W = F·d 1 Joule = (1 Newton) x (1 meter) Conservation of Energy Energy is the ability to do work. In situations where an object clearly has the potential to do some work, but hasn't done it yet, we say the object has potential energy. Forms of Energy A heavy object that has been raised to a great height has the potential to fall. It could do a lot of useful work (or a lot of damage.) Gravitational potential energy is stored in this pile driver. Equation for Gravitational Potential Energy Forms of Energy Energy of motion is called kinetic energy. This 18-wheeler, moving at 100 km/h has 2.2 million joules of kinetic energy. Equation for Kinetic Energy Conservation of Energy When the girl drops the book, energy is transformed. All of the potential energy the book had at the top is changed to kinetic energy by the time it gets to the bottom. Conservation of Energy With a rescue net below, firemen encourage a woman to leap from a burning building. At first, all of her energy is in the form of gravitational potential energy. Conservation of Energy After falling 1/4th of the way down, 1/4th of her potential energy has turned into kinetic energy. The other 3/4th of her energy is still in the form of potential. Conservation of Energy After falling ½ way down, ½ of her energy is potential, the other half is kinetic. Conservation of Energy 3/4th of her original energy has now turned to kinetic energy. Only 1/4th of it remains as potential energy. Conservation of Energy When our lady friend arrives at the bottom, all of what was once her potential energy has turned into kinetic energy. All of her original energy is still present. It has simply changed form. Conservation of Energy The total amount of energy remains the same. Conservation of Energy At points A and C, the pendulum has all gravitational potential energy. At point B, the energy is all in the form of kinetic. Energy Graph for the Simple Pendulum Conservation of Energy The girl lets go of the bowling ball but remains standing in the same place. Will she be struck by the ball when it swings back? The Law of Conservation of Energy The sum total energy of all the parts of any process remains the same. Energy cannot be created or destroyed. It can be transferred (moved) or transformed (changed from one kind to another), but the total energy always remains the same. The Work-Energy Principle Work is an energy transfer. Work reduces the energy of the system doing the work and increases the energy of the system on which the work is done by the same amount. In the end, all the energy is accounted for.