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8.8.b Conservation of Energy 2 SWBAT apply the Law of Conservation of Energy to different situations in an effort to calculate unknown variables. A 5 kg block is pushed up against a spring and released. The spring has a constant k = 30 N/m and was compressed 0.1 m. What is the velocity of the block when the spring reaches it’s equilibrium position? 1. 3. a. b. c. d. Diagram 121.5 J 121.5 J, 0 J 4.1 m 2. a. b. c. d. 980 J 686 J 294 J 17.1 m/s a. b. c. d. 0.35 J 0.35 J 0.35 J 1.8 m 4. a. b. c. d. Diagram 5.4 J 5.4 J, 0 J 1.6 m/s 5. 35.1 J 6. 4.9 J • A simple pendulum consists of a mass (called a bob) hung by a string from a fixed support. • It hangs vertically in its equilibrium position. • When the bob is displaced from equilibrium and then released, it begins a back and forth motion about its fixed equilibrium position. Classic Physics Demos: https://www.youtube.com/watch?v=BVxEEn3w688 https://www.youtube.com/watch?v=mhIOylZMg6Q Max PE Max PE Min PE Min KE Max PE Min PE Min KE Max KE Min KE Max KE Energy of a Pendulum A ball is released from the top of a ramp. How high does the ball go as it rolls up the other side? Energy of a Roller Coaster A pendulum is made from a 2.0-kilogram mass attached to a rope. The mass is pushed to the side until it is at position A, 3 meters higher than its equilibrium position. What is the total amount of kinetic energy that the mass has as it swings freely through its equilibrium position? What is the maximum velocity that the bob reaches? 2 kg 3m