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Class Notes 02 November Pick up HW Today: Turn in HW
All: Can’t use W = Fdcos for a spring! #2: Nearly identical to class problem #5: State Work = Area under the F-vs-x Turn in HW Test due tomorrow (graph & derivation) Today: Conservative and Nonconserv. Forces General Work-Energy Principle
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Bluto spots a 20. 0-kg, 4. 00-m-long ladder lying on the ground
Bluto spots a 20.0-kg, 4.00-m-long ladder lying on the ground. He stands it upright (). How much work did he do? Rank Responses 1 784 2 3 111 4 5 6 Other Correct answer is 392 Joules. Must use half the height, identifying where the vertical height the “center of mass” moves. Values: 0.053, { Value Matches: 0
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22 Spyders at Fontana Dam!
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Conservative vs. Non-conservative Forces
A force acting on a point object is conservative provided the total work done on the object as it is moved around any closed path is zero. Non conservative forces dissipate mechanical energy.
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Conservative Forces A conservative force is path independent.
Non conservative forces will dissipate energy. Examples: Gravity Spring Friction Cons. PEg = mgh Cons. PEsp = ½ kx2
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General Work-Energy Theorem
What if both conservative forces and non-conservative force act? Conservative Potential Energy Non-conservative Work done Compare work done by the force and work done on the object Next ask the question: What if there were no non-conservative forces acting? From above derive E1 = E2. WNC = DKE + DPE
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Conservation of Mechanical Energy
E1 = E2 …when no work is done by nonconservative forces
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Conservation of Mechanical Energy
If no non-conservative forces act on an object or system then mechanical energy is constant, that is, conserved. Or, if the net work done by non- conservative forces is not zero… Another word for non-conservative is “dissipative”. E1 = E2 E1 + WNC = E2
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Example A small toy uses a spring to launch an object. When compressed 5.00 mm and fired, the 11.1-g Dexter rises 25.0 cm in the air. Determine the spring constant of the toy. This is the Dexter/Katheryn(?) toy. Values measured by me. k = N/m
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Example A 1.00-kg ball is thrown from a m-tall platform with a speed of 15.0 m/s at an angle of 40.0°. What is the speed of the ball just before it hits the ground?
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Homework Read chapter 6, sec. 8-10 Test rework due tomorrow
No HW due Monday!!! But I may post worksheet 28 Use conservation of mechanical energy and modified (E1 + WNC = E2) Go to volleyball match!
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