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Conservation of Energy Students will use well known physics principles to estimate the behavior of a system. The ability to construct approximate theories is a foundation of science and technology. In most situations, an approximation is all that is possible. We must understand that the approximations made to derive the formulas are to ensure that the results accurately predict performance. Conservation of Energy means that you cannot create nor destroy energy it is said to be transformed. So, the sum of the kinetic and potential energy everywhere is the same and that the total energy of an object remains constant. As the potential energy is increased by an increase in its height above the earth, the kinetic energy is decreasing due to the object slowing down. The tendency of an object to conserve its mechanical energy is observed whenever external forces are not doing any overall work. TEKS 5D: Conservation of Energy by Inquiry Demo/ Engage Activity The purpose of this experiment is to measure the potential energy and the kinetic energy of a mechanical system and to quantitatively compare the two forms of mechanical energy to determine if the total mechanical energy is conserved. We will investigate the law of conservation of energy and that the total energy of an object remains constant. At every point in the motion of the pendulum the total mechanical energy is conserved. Set up: Obtain a stand, rollercoaster, CPO timer, photogate and a marble 1. Attach the roller coaster to the 5th hole in the physics stand. 2. Use the starting peg to start marble in the same place each time you roll it down. 3. Make sure the marble stays on the tracks. It takes a couple of times to try to keep it on the tracks. Predict which location you think the marble will travel through the fastest position (1,2,3,4,5,6 or 7)? Explain why? Scenario #1: Calculate the speed and height at different locations on the roller coaster. The speed of the marble is its diameter (1.9 cm) divided by the time the photogate A. In order to get the height, you need to measure from the table to the center of the hole for the light beam. 1. To measure the speed of the marble, attach a photogate so that the marble breaks the light beam as it rolls through. 2. Plug the photogate into input A of the timer and use interval mode. 3. Be sure that the bottom of the photogate is flat against the bottom of the roller coaster. If the photogate is not attached properly, the light beam will not cross the center of the marble and the speed you calculate will not be accurate. Collect data: Position Height Time, Photogate A (sec) Distance traveled (cm) Position 1 (5 cm) 1.9 cm Position 2 (20 cm) 1.9 cm Position 3 (40 cm) 1.9 cm Position 4 (65 cm) 1.9 cm Position 5 (85 cm) 1.9 cm Position 6 (105 cm) 1.9 cm Position 7 (125 cm) 1.9 cm Speed of marble (cm/sec) Drawing Conclusions Question 1 If your speed looks similar to the graph above, what conclusion can be made about the speed of the marble as it goes up? Question 2: Looking at your data and the graph above how is the height of the marble related to the speed of the marble? Scenario #2: 1. Find the mass of the object – place the petri dish on the digital scale and place it on the scale, now put the marble in the petri dish and record the mass in grams 2. Calculate the Potential Energy – formula PE = mass x gravity x height (Note: gravity = 9.8 m/s2) 3. Calculate the Kinetic Energy –formula – KE = mv2 / 2 4. Find the total Mechanical energy – formula – PE + KE = Total Energy Position Height (cm) Position 1 (5 cm) 35.5 cm Position 2 (20 cm) Position 3 (40 cm) Position 4 (65 cm) Position 5 (85 cm) Position 6 (105 cm) Position 7 (125 cm) Speed of marble (cm/sec) Mass of the marble (grams) Gravitational Potential Energy (Joules) Kinetic Energy (Joules) Total Mechanical Energy (Joules) Name ________________________ Period __________ Date __________ Post-Lab QUIZ 1. A pendulum swings as shown in the diagram. At which position is the kinetic energy of the pendulum bob the least? A. B. C. D. a b c d 2. At which location is the speed the greatest? ________________________ 3. Fill-in the 5 empty spaces below.