Chapter 5 Pgs. 167-192.

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Presentation transcript:

Chapter 5 Pgs. 167-192

Identify situations in which conservation of mechanical energy is valid. Recognize the forms that conserved energy can take. Solve problems using conservation of mechanical energy.

Conservation of Energy In any isolated system, the total energy remains constant. Energy cannot be created nor destroyed, it just changes form

Mechanical Energy (ME) The sum of kinetic and all forms of potential energy ME = KE + ∑PE Is conserved in the absence of friction

Conservation of Mechanical Energy KEi + PEgi + PEei = KEf + PEgf + PEef ½mvi2 + mghi + ½kxi2 = ½mvf2 + mghf + ½kxf2

Roller Coaster Simulation Roller Coaster Physics Simulation http://www.myphysicslab.com/RollerSimple.html (demonstrates gravitational potential energy and kinetic energy)

Starting from rest, a child slides down a slide from an initial height of 3.00 m. What is her speed at the bottom of the slide? (her mass is 25.0 kg)

A pendulum bob is released from some initial height such that the speed of the bob at the bottom of the swing is 1.9 m/s. What is the initial height of the bob? (mass of bob = 1.0 kg)

A 775 N diver drops from a board 10. 0 m above the water’s surface A 775 N diver drops from a board 10.0 m above the water’s surface. Find the diver’s speed 5.0 m above the water’s surface.