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Work and Machines Chapter 8
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The Scientific Meaning of Work
Answer: No mental effort might seem like a lot of work, but you are not using a force to move an object. Definition: work occurs when a force causes an object to move in the direction of the force. Use the definition above, is doing homework, work??
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Working Hard, or Hardly Working?
Applying a force doesn’t always result in work being done. For example, pushing a car that won’t budge. If you can’t get it to move you haven’t done any work!
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Work continued Force and motion in the same direction:
For work to be done, the object must move in the same direction as the force. For example if you are carrying a heavy suitcase through the airport it is not considered work because the direction of force is upward, and the direction of motion is forward!
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Work or Not Work?
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Calculating Work Work = force x distance W= F x d
If a man applies a force of 500 N to push a truck 100 m down the street. How much work does he do?
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W = F x d Answer: W = 500 N x 100 m W = 50,000 J
The unit used to express work is the newton-meter, but is more commonly called the joule (J).
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Nerdy Science Joke Break…
Did you hear about the criminals who never had to do any work? Answer: They were joule thieves.
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Power Power is the rate at which work is done.
It is how fast work happens! P = W / t Power = Work time The unit used to express power is joules per second (J/s), which is more simply called the watt (W). For example if you do 50 J of work in 5 seconds, your power is 10 J/s or 10 W.
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Try it… Calculate Power:
What is the power of a small motor that can do 500 J of work in 25 seconds?
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Nerdy Science Joke… Q: “What is the unit of power?” A: “Watt.”
Q: “I said, what is the unit of power?” A: “WATT!” Q: “I SAID…”
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Quiz 8.1 1. In which situation do you do more work? W = F x d
a. You lift a 75 N bowling ball 2 m off the floor. b. You lift two 50 N bowling balls 1 m off the floor. 2. The rate at which work is done is: a. Joule b. Time c. Power d. Work 3. Power is: a. Work/time b. time/Work c. Force x distance c. Work/Force
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Quiz 8.1 continued… 4. The unit used for Power is:
a. newton-meter b. Joule c. meter per second d. Watt 5. You push a 100 N box 3 m across the floor. How much work has been done? a J b. 300 J c W c. 300 W
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Machines A machine is a device that helps make work easier by changing the size or direction of a force. The work that you do on a machine is called work input. Called input force The work done by the machine is called work output. Called output force
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The force-distance trade off
W = 450 N x 1 m = 450 J W = 150 N x 3 m = 450 J
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Mechanical Advantage Mechanical Advantage tells you how many times the machine multiplies force. MA = output force input force
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Finding Advantage You apply 200 N to a machine, and the machine applies 2,000 N to an object. What is the mechanical advantage? Remember MA = output force/input force Answer: MA = 2000 N = 10 200 N
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Mechanical Efficiency
Is a comparison of a machine’s work output with the work input. Mechanical Efficiency = work output X 100 work input
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Simple Machines
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Levers A lever is a simple machine consisting of a bar that pivots at a fixed point, called a fulcrum. There are 3 types of levers.
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First Class Levers The fulcrum is between the input force and the load
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Second Class Levers The load is between the fulcrum and the input force.
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Third Class Levers The input force is between the fulcrum and the load.
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Inclined Planes A simple machine that is a straight, slanted surface.
An inclined plane allows you to apply a smaller force over a greater distance.
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Wedges A wedge is a double inclined plane that moves.
Wedges are often used to cut materials. They allow you to exert your force over an increased distance.
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Screws An inclined plane that is wrapped in a spiral.
When you turn a screw, you exert a small input force over a large turning distance, but the screw itself doesn’t move very far.
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Mechanical Advantage of Screws
The threads on the left screw are closer together and wrap more times around, so that screw has a greater mechanical advantage that the one on the right.
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Wheel and Axle A simple machine consisting of two circular objects of different sizes. Examples include a door knob, a crank, a fishing reel…
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Pulleys A simple machine consisting of a grooved wheel that holds a rope or a cable. A load is attached to one end of the rope, and input force is applied to the other end.
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Fixed Pulleys only change the direction of the force.
Movable Pulleys are attached to the object that is being moved.
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Compound Machines Machines that are made of two or more simple machines.
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