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Potential & Kinetic energy 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. Potential Energy: Stored up energy that has the possibility of being used. Which of the following are forms of potential energy? A Gravitational (height) B Chemical (batteries) C Heat (Friction) D Elastic (Springs or rubber bands) Potential Energy • Potential Energy – the energy associated with an object because of the position, shape, or condition of the object. • Gravitational potential energy – the potential energy stored in the gravitational fields of interacting bodies. – depends on height from a zero level. PEg = mgh gravitational PE = mass free-fall acceleration height Potential Energy • Elastic potential energy – the energy available for use when a deformed elastic object returns to its original configuration. PEelastic 1 2 kx 2 1 elastic PE = spring constant (distance compressed or stretched) 2 • The symbol k is called the spring constant, a parameter that measures the spring’s resistance to being compressed or stretched. 2 Practice Prob • A 70.0 kg stuntman is attached to a bungee cord with an unstretched length of 15.0m. He jumps off a bridge spanning a river from a height of 50.0m When he finally stops, the cord has stretched to a length of 44.0 m. K of bungee cord = 71.8 N/m, what is the total potential energy when the man stops falling? Potential energy • Examples • Julius Sumner Miller Assignment • Kinetic Energy - Practice B (pg 166) #1 (You can do 5 if you really want to) • Potential Energy - Practice D (pg 172) 1-3. 3B is challenging