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Concept Summary Lakeland Regional High School Physics Kinetic Energy If an object is moving, it has energy. (Be careful, the converse of this statement is not always true!) This energy is called kinetic energy the energy of motion. Kinetic Energy An object’s kinetic energy depends on: the object’s mass. Kinetic energy is directly proportional to mass. the object’s speed. Kinetic energy is directly proportional to the square of the object’s speed. Kinetic Energy In symbols: 1 2 KE = mv 2 Kinetic Energy Kinetic energy is a scalar quantity. Common units of kinetic energy: Joules An object with mass of 1 kg, moving at 1 m/s, has a kinetic energy of 0.5 Joule. Work When the kinetic energy of an object changes, work has been done on the object. Units of work: Joules Work is a scalar quantity. Work Work The depends on: amount of force applied to the object. The distance that the object moves while the force is applied. The direction of the force with respect to the direction the object moves. Work If the force on the object is in the direction the object moves, the work done is: W = Fx F x Work If the direction of the force is opposite the direction the object moves, work is: W = -Fx F x Force is NOT Work If the force is perpendicular to the direction the object moves, the work done is 0. If the object doesn’t move, the work done is 0. F W=0 x Work and Kinetic Energy The work done on an object by the net force equals the object’s change in kinetic energy. Wnet = DKE Potential Energy Sometimes work is not converted directly into kinetic energy. Instead it is “stored”, or “hidden”. Potential energy is stored energy or stored work. Potential Energy Potential energy is energy that an object (system) has due to its position or arrangement. Calculating Potential Energy 1. To calculate the potential energy of a particular arrangement: Pick a position or arrangement that you want to call the “potential energy = 0” situation. Calculating Potential Energy 2. The potential energy of any other position or arrangement equals the negative of the work that the conservative force does in changing from the potential energy = 0 situation to that one. PE = - WorkF Conservative Forces Energy or work is stored when a force does work “against” a force such as the gravitational force or a Hooke’s Law (spring) force. Forces that store or hide energy are called conservative forces. Gravitational PE The gravitational potential energy of an object at height h equals the negative of the work that gravity does when the object is lifted from the PE = 0 position. GPE = mgh Mechanical Energy Mechanical Energy = PE + KE Conservation of Energy If no external forces act on a system, the total energy of the system will remain constant. Power Power is the rate work is done. DWork Power = time W P t Power Units of power: 1 Joule/sec = 1 Watt 1000 Watts = 1 kilowatt Power is a scalar quantity. (Simple) Machines A machine is a mechanical device used to do work. Examples of simple machines: Inclined Lever pulley plane (Simple) Machines A machine can never output more work (energy) than is put into it. At best, Workout = Workin Workin Machine Workout Compound Machine : Two or more simple machines working together to make work easier. Examples: Wheelbarrow, Can Opener, Bicycle Mechanical Advantage Machines can’t multiply work or energy, but they can multiply force. Mechanical advantage measures how much a machine multiplies force. Force machine exerts MA = Force you exert Efficiency The efficiency of a machine tells how much of the energy (work) that goes into the machine actually does useful work. It is usually expressed as a percent. Efficiency = Useful work done Energy input x 100% The End