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Title: Changes in Velocity due to Potential and Kinetic Energy Objective: To have students understand the capacity of potential and kinetic energy in a moving object and relate it to the objects velocity. Standards: EALR 4 Physical Science: Big Idea: Force and Motion Materials: Hot wheels track, blocks, hot wheels cars, stopwatch, meter stick, metric ruler, graphing paper. Procedure: Set up a flexible track used for hot wheels toy cars to simulate a roller coaster. Arrange for several hills of various heights, making sure the first hill is the highest. Have student accurately measure the track in all ways (height of each hill; distance between each crest; total length of track.) Release a car and have students time the car at different points along the track. Have students determine velocity for each point. Have students discuss maximum and minimum points of potential and kinetic energy. Have students determine the kinetic and potential energy of the car. Student Questions for Inquiry: 1. Why is the first hill the highest? (The first hill is the highest to give the car maximum potential energy for conversion to kinetic energy so that the car can have enough energy to complete the course.) 2. What is the point of maximum kinetic energy? (The lowest point on the track.) 3. Where does the car have the greatest speed? (At the bottom of the largest hill.) Science Behind It: Energy is defined as the ability to do work. When the work is actually being done, we term the energy “kinetic.” When the work is waiting to be done, or when there is the potential for work to be performed, we term the energy “potential.” Kinetic energy is the energy of motion, potential energy comes from work having been done on an object which was then stored. For example, a rubber band zinged from your finger has kinetic energy. While it was stretched, waiting for you to release it, it had potential energy. The rubber band was stationary, but work had been done on it to move it to its present position. Now, we know that the farther we pull back a rubber band, the faster and farther it will fly. Consider this situation in terms of potential and kinetic energy: When I pull back the rubber band to a great distance, I am doing more work to it than if I pulled it back only a small distance. More work means more energy is provided to and stored by the rubber band. When I release the rubber band, it has more energy to move. More energy means more work can be done by the rubber band. There is a connectedness, then, between potential and kinetic energy for matter. For moving objects, we can easily calculate kinetic energy using the formula: KE = (mass x velocity2)/2 or 1/2 mv2 Although mass and velocity both have great effects on kinetic energy, it is velocity, more significantly, that determines kinetic energy. Potential energy, on the other hand, is energy of position, not of motion. The amount of potential energy possessed by an object is proportional to how far it was displaced from its original position. If the displacement occurs vertically, raising an object off of the ground, let’s say, we call this gravitational potential energy. We can calculate the gravitational potential energy of an object with this formula: GPE = weight x height An increase in the weight of an object or the height to which it is raised will result in an increase in the potential energy the object possesses. Once the object is dropped, the potential energy begins to decrease due to reduced height, but we also now see an increase in kinetic energy because the velocity is also increasing.