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Work & Mechanical Advantage
Introductory Video
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The Meaning of Work You do work on an object when you exert a force on the object that causes the object to move some distance. Pushing a child on a swing Pulling your books out of your book bag Lifting a bag of groceries out of a shopping cart The object must move some distance as a result of your force! No movement = No work! The force you exert must be in the same direction as the object’s motion.
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Yes No Work or Not Work? Example Direction of Force
Direction of Motion Doing Work? Yes No
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Yes No Work or Not Work? Example Direction of Force
Direction of Motion Doing Work? Yes No
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Calculating Work The amount of work you do depends on both the amount of force you exert and the distance the object moves. Work (J) = Force (N) X Distance (m) Joule = 1 N•m The amount of work you do when you exert a force of 1 N to move an object a distance of 1 m. Work = Force X Distance
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Calculating Work If you exert a force of 20 N to push a desk
10 m, how much work did you do? Formula: Work: Answer: W = F X D W = 20 X 10 W = 200 J
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What is a Machine? A device that makes work easier or more efficient.
Changes the size of the force. Changes the direction of the force. 2 types of work are done using machines: Work Input Work Output
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Work Input/Work Output
Work Input – the work you do on the machine. You apply a force and move it through a certain distance. Work Output – The work done by the machine. Machines apply the force through a distance. Opposes the force you and the machine are working against. A screwdriver lifting up on the lid of a can. Output Force Input Force
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Work Input/Work Output
Force and distance don’t need to be equal, only the products do! If I wanted to raise this rock off the ground, the lever will need to expert 60N of force to lift it 2 meters into the air. How much output work is required to do this? Formula: Work: Answer: W = F X d 60 X 2 120 J
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Work Input/Work Output
If my input work is equal to my output work, how much force will I need to put into the lever to push it 6 meters down? Formula: Work: Answer: F = W/d 120/6 20 N The lever and I do the same amount of work but I traded a greater distance on my end for a greater force on the other end.
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Mechanical Advantage Mechanical Advantage – how many times a machine multiplies a force. Compares input force with output force. Work output is always less than work input because of friction. Mechanical Efficiency – compares the machine’s work output to the work input but also takes into consideration friction. MA = output force/input force ME = work output/work input X 100
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Calculating MA Tom’s pulley has an output force of 60N and an input force of 15N, what is the Mechanical Adavantage of Tom’s pulley? Formula: Work: Answer: MA = output force/input force MA = 60/15 MA = 4N
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Calculating MA and ME Tom’s pulley has an output work of 6J with 12J of work being put into it. What is the Mechanical Efficiency of Tom’s pulley? Formula: Work: Answer: ME = work output/work input X 100 ME = 6/12 X 100 ME = 50%
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