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Kinetic and Potential Energy Unit 7, Lesson 6 What is Energy? What does it mean if you have a lot of energy? For you it means you can run around, lift weights and scream. If you have energy you can do things. http://www.nv.doe.gov/news&pubs/photos&films/atm.htm What is Energy? Energy is the ability to do work This is similar to our every day definition of energy. You can’t run up the stairs (work) without energy! We have lots of types of energy. Can you name a few? Energy comes in many different forms • • • • • • Kinetic Energy Gravitational potential energy Thermal Energy (heat) Nuclear Energy (nuclear power, atomic bomb) Electrical Energy (electricity) Chemical Energy (food, fire, …) We are going to look at the first two types of energy The energy of motion • The faster an object moves, the more kinetic energy it has • If two objects travel at the same speed, the one with more mass has more kinetic energy **kinetic energy depends on speed AND mass Image the car and bike are moving at the same speed. The car has more kinetic energy because it has more mass Kinetic Energy Kinetic energy is the energy of motion KE = ½ mv2 m = mass (kilograms) v = velocity/speed (meters per second) Units: Joules (J) Let’s Practice What is the kinetic energy of this car when it is traveling 38.0 m/s? What other information do you need? KE = ½ m v2 = ½ (1550)(38.0)2 = 1,119,100 J Car’s mass = 1550kg Potential Energy Potential energy is energy that is stored and has the potential to do something – There are three types of P.E. • Elastic – Rubber band pulled back • Gravitational – Raising an object off of the ground (height & mass) • Chemical – A log being placed on a fire Gravitational Potential Energy PE = mgh m = mass g = acceleration due to gravity h = height Let’s Practice A 30 kg child climbs 15 meters up a tree. When he stops to have a look around, what is the child’s potential energy? GPE = mgh First we identify the information provided in the problem: • mass = 30 kg *gravity= 9.8m/sec2 • height = 15 meters • GPE = 30kg * 9.8m/sec2 * 15 meters = 4410 J What’s so important about PE and KE? We call the sum of PE and KE mechanical energy. ME = KE + PE Mechanical energy is important because it is conserved (as long as there are no non conservative forces, like friction) Therefore, if one goes down, the other goes up by the same amount. Mechanical Energy Example A penny is dropped off the Eiffel tower (ignore air resistance). As it falls, what happens to it’s potential energy? What happens to it’s kinetic energy? As it falls, its velocity goes up, so its kinetic energy goes up. It also looses height so its potential energy goes down. However, mechanical energy stays the same ME = KE + PE Practice 1 Copyright © 2004 California Department of Education. Practice 2 Copyright © 2004 California Department of Education. Practice 3 Copyright © 2004 California Department of Education.