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Chapter 13 ‐ Work and Energy What is Energy? Common Forms of Energy Energy – the ability to do work or cause change • • SI Unit: Joules (J) Whenever work is done, energy is transformed or transferred from one system to another E Energy can be split into two main categories b lit i t t i t i • Potential Energy – Stored energy that due to an objects position, shape, or condition. • Kinetic Energy ‐ Energy of an object due to its motion. Potential Energy Examples: • • • • Stored Mechanical Energy Gravitational Energy Chemical Energy Chemical Energy Kinetic Energy Examples: i i l Nuclear Energy • Motion Energy • Electrical energy • Heat (thermal energy) • Light (radiant energy) • Sound 1 2 Mechanical Energy Mechanical Potential Energy Mechanical Energy – The amount of work an object can do from its potential and kinetic energies An object can store energy because of its position. Common forms of mechanical energy • Elastic Potential Energy Stretched rubber band or compressed spring Stretched rubber band or compressed spring Elastic Potential Energy (PE) – Energy stored in an object that is compressed or stretched to change the distance between its parts distance between its parts. • Gravitational Potential Energy Water at the top of a waterfall Hammer raised up in the air Examples: Archer pulls the bow back creating stored energy in the bow. When the bow is released, its stored energy is used and transferred to the arrow. • Kinetic Energy Hammer in motion, about to hit a nail 3 Potential Energy Example Gravitational Potential Energy A 3.0 kg mallet (A big hammer) is lifted to a height of 0.45 meters to drive in a railroad spike. What is the potential energy of the hammer while it is in the air? Gravitational Potential Energy (PE) – Potential energy due to an elevated position. This is caused by gravity and is measured by the amount of work needed to lift the object to that point. PEgravity = Work Remember W = Fd and Fgravity = mg The distance is the height(h) of elevation PE mgh 4 PE mgh m = 3.0 kg g = 9.8 m/s2 h = 0.45 m PE = 3.0 kg 9.8 m/s2 0.45 m = 13.2 J g = 9.8 m/s2 5 6 1 Chapter 13 ‐ Work and Energy Gravitational Potential Energy PE is dependent on its relative height Kinetic Energy A moving object has the ability to do work. Kinetic Energy( KE ) – Energy of motion PE = 50 J PE = 50 J The KE depends on an objects mass and speed Both an increase of speed or mass will increase energy, but b t speedd has h a bigger bi impact i t on KE PE = 40 J PE = 30 J PE = 20 J KE PE = 10 J PE = 0 J PE = 0 J PE = 0 J 1 2 mv 2 7 Kinetic Energy Example Conservation of Energy Determine the kinetic energy of a 625 kg roller coaster car that is moving with a speed of 18.3 m/s. KE m = 625 kg 8 1 2 mv 2 Work‐Energy Theorem The change in Kinetic Energy is equal to the amount of work that can be done. In most cases the moving object doing work will not lose mass (unless it breaks somehow). v = 18.3 m/s Work KE = ½ 625 kg (18.3 m/s)2 = 105000 J 9 1 2 2 m v final vinitial 2 10 Law of Conservation of Energy Energy cannot be created or destroyed, it may be transformed from one form into another or transferred from one object to another, but the total amount of energy never changes PE = 75 J KE = 0 J KE 0J PE = 50 J KE = 25 J PE = 25 J KE = 50 J PE = 0 J KE = 75 J 11 2