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January 08, 2015 Mechanical Energy Energy due to motion and the position of an object. Mechanical Energy = kinetic energy + potential energy Em = Ek +Ep January 08, 2015 Jasmine throws a 0.300kg baseball. At a height of 2.50m it has a speed of 20.0m/s. What is the total mechanical energy of the baseball? January 08, 2015 Think about a Toboggan At the top of the hill Em = Ep + Ek there is no movement. Em = Ep + 0 Mechanical energy is So the toboggan's all potential. In the middle of the run there is Em = Ep + Ek movement and the sled is still above the surface so the sled has both potential and kinetic energy. At the bottom there is Em = Ep + Ek no potential energy now Em = 0 + Ek surface so all the because it is on the potential energy is now converted to kinetic. Energy is converted throughout the ride from potential to kinetic but the total mechanical energy remains the same, because you cannot create or destroy energy, only convert it from one form to another. January 08, 2015 Because Energy isn't created or destroyed we can say that Ep at the top = Ek at the bottom. For the hill example. So Ep = Ek If an object object has both potential energy and kinetic energy at the same time we cannot do this. E.g you cannot do this 1/4 of the way down the hill. Because the object will have a little potential energy left but has a lot of kinetic energy. They will not be the same. January 08, 2015 A 50.0 kg athlete jumps vertically upward from the ground to a height of 0.900m above the ground. What was the athletes initial vertical speed? January 08, 2015 Carlynn is falling from the top of a building. Carlynn has a mass of 50.0kg and she is traveling 5.00m/s right before she hits the ground. How high was the building? January 08, 2015 An average force of 100.0N is required to pull back the bow string a distance of 0.500m. The bow is aimed vertically. a) What is the work done on the bow? b) How much potential energy is stored in the bow? c) How much kinetic energy does the arrow have at the instant of it's release? d) What will the potential energy be at the arrows highest point? January 08, 2015 Theron is walking across the balcony when he casually pushes Cole off of it. If Cole falls 3.05m what is the velocity right before he hits the ground? January 08, 2015 Pendulums January 08, 2015 Problems Page 183 to 185 # 8 to 14 Page 189 # 1,2,3,4,5,6,7,9 Page 197 #7,8,13,20,21,23,24,25,26,