Energy = the ability to do work. Energy • The energy released by a supernova is capable of destroying a nearby solar system in just a few hours. A supernova is one of the greatest concentrations of energy in the universe. Nature of Energy Energy is all around you. • You hear energy as sound, you see energy as light, you can feel energy in wind. • Living organisms need energy for growth and movement. • You use energy when you hit a tennis ball, compress a spring, or lift a grocery bag. Because energy is the ability to do work, it is measured in Joules. Units of Energy = Joules (J) What is Energy? Energy THE ABILITY TO CHANGE OR MOVE MATTER The ability to produce change in itself or the environment THE ABILITY TO DO WORK Other ways to explain it: “The ability of a system to produce change in itself or the environment” “The capacity or actuality of change in a system” When energy is released or absorbed something changes in the system. (and surroundings!) When energy is stored in a system, the capacity for spontaneous change is inherent. Potential Energy Stored energy Kinetic Energy Energy of motion Mechanical Energy Total Energy of a System (PE + KE) 1 2 Types of Energy: Kinetic Energy (KE) (Energy of Movement) and Potential Energy (PE) (Stored Energy) Elastic Potential Energy = Energy stored in a stretched or compressed material (spring, rubber band, bungee cord, bow, etc.) We will concentrate on Gravitational Potential Energy gravitational PE = Weight x Height Remember, Weight is defined as W = mg So, gravitational PE can be written as (mg) x h PE = mgh Gravitational Potential Energy = Energy stored due to height from the ground (depends on weight and height) Kinetic Energy (KE) • The energy of motion. • The faster the object moves – the more kinetic energy. • The motion of molecules is what causes HEAT, so: HEAT is a form of kinetic energy. 2 Kinetic Energy Formulas: Kinetic Energy: KE = ½ mv2 KE = ½ mv2 KE depends on mass and velocity. •KE = ½(mass x v= velocity2) kg m2/s2 =Newton*meter= Joules Potential Energy: m= PE = mgh 2KE Weight = mg (g = 9.8 m/s2) m 2KE PE v2 m g h PE Sample Problem: PE Sample Problem: This person, who weighs 725 Newtons, is currently 20.0 meters above the ground. What is their gravitational PE ? KE Sample Problem: This 8,200kg roller coaster is moving at 7.6 m/s. What is the kinetic energy of the coaster ? This coaster must have a PE of no more than 824,000 Joules to survive this 12.0 meter drop. What is the greatest mass the coaster can have? KE Sample Problem: This roller coaster has a total of 604,800 J of kinetic energy when it is travelling at its fastest, 12 m/s . What is the mass of the coaster? 3 KE Sample Problem: This 45,000kg roller coaster has a total of 840,000 J of kinetic energy. What is the velocity of the coaster ? 4 Mechanical Energy Conservation of Energy = the total energy of a system Energy cannot be created or destroyed. KE + PE = ME •Energy MAY be converted from one form to another… …but the total mechanical energy of a system remains the same. 5 Energy MAY be converted from one form to another. Energy Transformation for a Dart Here, gravitational potential energy is converted to kinetic energy, but energy is conserved; the total mechanical energy (TME) remains unchanged. Energy Transformation on a Roller Coaster v=0 KE = 0 PE = max PE = ME ME = PE h=max = KE h=0 h=0 PE = 0 KE = max KE = ME KE + PE = ME How High Will It Go? Energy Transformation for a Pendulum 6 Forms of Energy Energy Transformation for a Dart • There are many types of kinetic and potential energy: • Heat (KE) • Chemical (PE) • Electromagnetic (PE/KE) • Nuclear (KE/PE) The skiier begins at an elevated position, thus possessing a large quantity of potential energy (i.e., energy of vertical position Heat Energy • Remember, heat is a form of kinetic energy… …the faster the molecules move, the more heat energy is produced. This energy state is maintained until the skiier meets a section of unpacked snow and skids to a stop under the force of friction Chemical Energy • Energy that exists in the bonds that hold atoms together. • When bonds are broken, chemical energy is released. Examples: • Digesting food…bonds are formed to release energy for your body to store and use. • Sports… your body uses energy stored in your muscles obtained from food. • Fire–a chemical change. Often, the usable energy of a system will be “lost to friction”; the energy is still there, but it has been converted into heat. Nuclear Energy • When the nucleus of an atom splits, nuclear energy is released. • Nuclear energy is the most concentrated form of energy. • Fission/fusion Sodium metal reacts with water. 7 Electromagnetic Energy Moving electric charges. Examples: • Power lines carry electricity • Electric motors are driven by electromagnetic energy • Light is this form of energy (X-rays, radio waves, laser light etc.) A 1. 2. 3. 4. B What is the velocity of the coaster when it is at point A? What is the KE of the coaster when it is at point A? What is the height of the coaster when it is at point B? What is the PE of the coaster when it is at point B? 8