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Explore concepts of kinetic and potential energy, gravitational & elastic potential energy, mechanical energy conservation, and basic energy models. Solve problems to grasp real-world applications.
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Conservation of Energy Kinetic and Potential Energy
Kinetic Energy • Energy of motion
Potential Energy • Energy of Position • Gravitational PE—Energy comes from the Earth’s gravitational attraction on the object and its location • Elastic Potential Energy—comes from the elastic properties of the material such as a spring and its spring constant
Gravitational Elastic Potential Energy
Conservation of Mechanical Energy • Mechanical Energy is the sum of the potential and the kinetic energy of an object • The law of conservation of mechanical energy
Basic Energy Model • There are two kinds of energy, a kinetic energy associated with the motion of a particle oand a potential energy associated with the position of the particle. • Kinetic energy can be transformed into potential energy, and potential energy can be transformed into kinetic energy. • Under some circumstances the mechanical energy is conserved. Its value at the end of a process equals its value at the beginning of the process.
Problem 1 • Christine runs forward with her sled at 2.0 m/s. She hops onto the sled at the top of a 5.0 m high, very slippery slope. What is her speed at the bottom?
Problem 2 • A 10 g bullet is fired into a 1200 g wood block that hangs from a 150 cm long string. The bullet embeds itself into the block, and the block then swings out to an angle of 40°. What was the speed of the bullet?