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Explore the concepts of work and power, learn how to calculate work and power, and understand how machines make work easier. Discover the mechanical advantage and efficiency of machines and their impact on work.
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Sct. 1 Work and Power • Work • Is done when a force causes an object to move. • Carrying books • Pushing grocery cart • Lifting weights • Dodge truck pulling Ford out of mud.
Applying force to do work. • Work is only done in direction of applied force, while the force is being applied, and when object is moving. • Lifting books off of desk = work by arms • Carrying books to class = not work by arms but by legs
Calculating Work • Work = Force x distance • W = F x d • Joules = N x meters • What is the total amount of work done when a football player carries the ball with a force of 25 N for 50 meters?
W = F x d • W = 25 N x 50 m • W = 1250 N x m • W = 1250 J
Power • How quickly work is accomplished. • Who is more powerful? • A man who can lift 50 N of weight in 10 seconds or a woman who can lift 50 N of weight in 8 seconds? • Woman. Same weight and work accomplished, less time. • More power does not change the amount of work accomplished, but it changes the amount of time the work takes.
Calculating Power • Power = work/time • P = w/t • Watts = Joules/second • What is your power if you do 200 Joules of work in 20 seconds?
P = W/t • P = 200 Joules/20 seconds • P = 10 Joules/sec. • P = 10 Watts • HW: Jot down two items of work that you have accomplished already today. Explain how having more power would have affected the work.
Work and Energy • When you do work on an object, because it has moved, you increase its potential or kinetic energy. • Potential Energy = energy of position/stored energy • Height above earth • Stretched rubber band • Kinetic Energy = energy of motion • All moving objects have kinetic energy • Work = objects in motion
Work and Power HomeWORK. • How much work must you do to move 100, 10 N rocks a distance of 50 meters? • How far did you push the grocery cart if it required 500 Joules of work and needed 25 N of force? • How much power is needed for a Dodge truck to pull a Chevy truck from the mud in 10 seconds if it requires 4000 Joules of work? • Who has more power? Mr. Sherlock lifts 15 pieces of cake (1 piece = 1 J of work) to his mouth in 60 seconds and Mr. Brode lifts 21 pieces of cake to his big mouth in 80 seconds. • What kind of energy does the cake have as it is being swallowed to the depths of Mr. Brode’s belly? • What kind of energy did the cake have when it was being held high above his mouth ready to plummet to its dark grave? • How much power must your truck have to haul a load of 55, 50 N logs over the mountain? The road over the mountain is 1200 meters and you must do it in 3 minutes.
w=f x d • w=1000N x 50 m • w= 50,000 J • w=f x d • 500J = 25 N x d • d= 20 m • P=w/t • P= 4000J/10 sec • P= 400 Watts • Sherlock Power = 15 J/60 sec. = .25 Watts • Brode Power = 21 J/80 sec. = .26 Watts • Brode more powerful! • Kinetic Energy • Potential Energy
W=f x d • W=(55x50N) x 1200 • W = 3300000 J • P=w/t • P=3300000J/180 seconds • P=18333.3 W
Section 2 Using Machines • Machine • A device that makes doing work easier • Pencil • Lawn mower • Screw driver • Car • Computer • pulley
Machines contd. • Change the way a person does work, not how much work is done. • Have: • Input work- effort put in • Output work- the work done by the machine • No machine can create work • Input work always greater than output work. • Due to friction
Mechanical Advantage • The number of times a machine multiplies the input force. • MA = output force/input force • EX: A car jack can lift a 2000 N car when a person applies 50 N of force. • MA = OF/IF = 2000 N / 50 N = 40
Ways that machines make work easier. • Exert a smaller force over a greater distance to increase output force. • Screwdriver opening a paint can, wheel barrow • Exert a larger force over a smaller distance to increase output distance. • Rake • Allow you to change the direction of the input force. • Pulley
Efficiency • Ability of a machine to use all of the work in. • E = output work/input work x 100% • Efficiency is reduced by friction. • Therefore always less than 100%
Efficiency Calculation • How efficient is a car that produces 100 Joules of work for every 300 Joules of fuel consumed? • E = ow/iw • E = 100 J / 300 J • E = .33 or 33%
Group Work • What is the mechanical advantage (ma = force out/force in) of a wrench that you put 50 N of force into and it loosens a bolt with a force of 250 N? • What is the mechanical advantage of a rake that you must use 100 N of force to rake leaves with and the leaves require 20 N of force to move? • What is the efficiency of a car jack that lifts a car using 5000 J of work when you put 10000 J of work into the jack? • What is the efficiency of a pulley that you put in 800 J of work and it lifts with 200 J of work?
Efficiency or Mechanical Advantage???? • Your car gets 27 miles per gallon. • A 60 watt light bulb uses 66 watts of energy per hour. • You exert 50 N of force on a screwdriver to open a paint can lid that requires 200 N of force to break the seal. • You pull down with a force of 200 N to hoist your 250 N 10 point buck up. • Your 4 wheeler engine is hot when you’re done riding it this weekend. • Friction between the rake and the grass makes raking leaves more difficult. • You are able to lift a 2000N truck using only 60 N of force into the jack.
Work in > Work out • This is true in all machines because work is lost to friction. • Fin x din > Fout x dout • If a machine produces 50 N of force when 10 N are put in and the distance out is 2 m, how much distance must the machine have put in?
Fin x din > Fout x dout • 10 N x din > 50 N x 2 m • din > 10 m
Homework • Fin x din = Fout x dout • At home pick up a hammer and 2 nails. • Start nails in a board and have the same amount of nail sticking out of the board. • First nail, hold the hammer as close to the head as possible. • Second nail, hold the hammer as close to the end of the handle as possible. • Compare the force out.