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Physics of Energy What is Energy? Energy is simply the ability to do work. Pretty much everything you do each day requires some type of energy. For example, you can’t run up stairs (work) without energy! It takes a LOT of energy to climb the world’s longest staircase. The Niesenbahn funicular staircase, located on Neisen mountain in Switzerland, has 11,674 steps! Whenever something moves, you can see the change in the energy of that system. Energy can make things move or cause a change in the position or state of an object. Main Types of Energy •Kinetic Energy •Gravitational potential energy (also called just “potential energy” •Thermal Energy (heat) •Nuclear Energy (nuclear power, atomic bomb) •Electrical Energy (electricity) •Chemical Energy (food, fire, …) First, we are going to take an in-depth look at the first two types of energy. Kinetic Energy Kinetic energy is the energy of motion KE = ½ mv^2 Units: Joules (J) m = mass v = velocity Let’s Practice What is the kinetic energy of this 1,550-kg car when it is traveling 38.0 m/s? KE = ½ m v^2 = ½ (1550)(38.0)^2 = 1119100 J = 1.11 x 10^6 J Potential Energy Gravitational Potential Energy (also referred to as just “potential energy”) is energy due to an objects height above the ground PE = mgh m = mass g = acceleration due to gravity h = height Let’s Practice A rock has a mass of 8.40 x 10^4 kg. The center of mass is 29.0 m above the ground. How much energy does it have? PE = mgh Identify the variables: m= 8.40 x 10^4 kg g= 9.8 m/s^2 h= 29.0 m PE = (8.4X10^4)(9.8)(29) = 2.39 x 10^7 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. We can use this when trying to create machines/technology that helps to provide an efficient means of energy. Conceptual Understanding A penny is dropped off the Eiffel tower (ignore air resistance). As it falls, what happens to its potential energy? What happens to its kinetic energy? As it falls, its velocity goes up, so its kinetic energy goes up. It also loses height so its potential energy goes down. However, mechanical energy stays the same ME = KE + PE (no “new” energy is created or destroyed!) Let’s Practice KE = ½ m v^2 KE = ½ (2) (3)^2 KE = (1) (9) KE = 9.0 J Let’s Practice PE = mgh m= 50 kg g= 9.8 m/s^2 h= 10 m PE = (50)(9.81)(10) = 4,900 J (1/2 of that = 2,450 J) Let’s Practice