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Work in Mechanical Systems
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I. Work is done when a force is exerted on an object causing it to move or change.
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Example: Work is done when this man applies forces to the boxes causing them to move. Would it require work to lift them?
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Linear Work When a force is applied in the direction of motion. Then, W = F • d
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What are the units of work?
Work is measured in Newton-meters (N·m). A Newton-meter is called a “JOULE” (sounds like ‘jewel’) and is abbreviated with a capital “J.”
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Ex: A weight lifter lifts a 30-N barbell 2-m into the air
Ex: A weight lifter lifts a 30-N barbell 2-m into the air. How much work is done? Ex: A robot cart in a factory pulls a load of supplies 200-m. If the force needed to pull the load is 900-N how much work is done?
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Example: No work! Although this woman may be doing a lot of thinking, from a physics point of view she is not doing any work. Why? Is ‘home work’ really work at all?
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There are six types of Simple Machines...
levers pulleys wheel and axles screws wedges inclined planes
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How Simple Machines Work...
The basic principle is: f • D = F • d a small force applied over a large distance yields a large force over a small distance.
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Pulleys A pulley system has two main functions
to multiply force to change direction A series of pulleys hooked together is called a block and tackle
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Levers...
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How machines are rated... The mechanical advantage of a machine is the ratio of the force out to force put in. MA = Fout/Fin The efficiency of a machine is a ratio of the work out to the work put in Eff = Wout/Win
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Ex: What is the efficiency of a block and tackle that allows you to lift a 150-N engine 1-m if the operator pulls with a force of 20-N over 2-m?
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Can you name the five forms of energy?
Mechanical - moving things, sound Electromagnetic - light, magnetic, electric, microwaves Thermal - total molecular energy Chemical - bonds, reactions Nuclear - the nucleus
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Recall, energy can be manifested in two ways.
Kinetic Energy - energy of motion Potential Energy - energy that is stored; energy due to position or condition
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Gravitational Potential Energy
G.P.E. depends on weight and height, if you are above the ground you have G.P.E. GPE=weight x height What are the SI units?
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Ex: What is the G.P.E. of a 30-N diver at the top of a 10 meter high dive?
Ex: What is the GPE of the 35-N diver when she is 8 meter under the water?
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Kinetic Energy depends on mass and speed K.E. = 1/2•m•v2
What are the SI units?
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Ex: At the same speed what has more kinetic energy, the car or the boat? Why?
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Ex: What is the K.E. of a 60 kg skier moving at 8.5 m/s?
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Work and Energy Formulas
W = F • d MA = Fout/Fin Eff = Wout/Win GPE=weight x height K.E. = 1/2•m•v2
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