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Work and Energy. Vocabulary. Work: The use of force to move an object over a distance (Joule or J) Joule: The unit used to measure work; one joule of work is done when a force of one newton moves an object one meter (Joule = Newton ● meter) Power: the rate at which work is done (Watts)
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Vocabulary • Work: The use of force to move an object over a distance (Joule or J) • Joule: The unit used to measure work; one joule of work is done when a force of one newton moves an object one meter (Joule = Newton ● meter) • Power: the rate at which work is done (Watts) • Watt: the unit used to measure power; one watt is equal to one joule of work done in one second • Horsepower: the unit of measurement for engines and motors; one horsepower equals 745 watts.
WORK • Force is necessary to do work! • Work is done only when an object that is being pushed or pulled actually moves. • The work done by a force is related to the size of the force and the distance over which the force is applied. • Work= (Force) ● (distance) W= Fd Units: Work (Joules), Force (Newtons), Distance (Meters)
Calculating Work (W=Fd) • How much work is done if a person lifts a barbell weighing 500 N to a height of 2 meters? I F S M U
Calculating Work • I: Force= 500 N, distance= 2 m, Work=? • F: Work= Force●distance (W=Fd) • S: W= 500 N ● 2 m • M: 1,000 • U: 1,000 J • (remember the units for work are joules, units for force are Newtons, and units for distance are meters)
Work • Objects that are moving can do work • Examples: • Bowling balls do work on the pins they hit in a bowling alley • Baseball bat does work on the ball • Gravity does work on falling water
Energy is transferred when work is done • Energy is the ability to do work or cause change • When you do work on an object, some of your energy is transferred to the object. • Think of work as a transfer of energy • Work and energy are both measured in the same unit, the joule
Calculating Gravitational Potential Energy • Potential energy (stored energy) that is caused by gravity (downward force) is gravitational potential energy. (GPE) • Gravitational potential energy= mass ● gravitational acceleration ● height (GPE = mgh)
Calculating Gravitational Potential Energy (GPE=mgh) • What is the gravitational potential energy of a girl who has a mass of 40 kg and is standing on the edge of a diving board that is 5 meters above the water? • * remember gravitational acceleration is a constant (does not change) so… • g= 9.8 m/s2 • I • F • S • M • U
Calculating Gravitational Potential Energy • I: mass= 40 kg, g= 9.8 m/s2 , height =5 m, GPE=? • F: GPE = mgh • S: GPE= 40 kg ● 9.8 m/s2 ● 5 m • M: 1960 (kg ● m/s2 ) ● m • U: 1960 Joules • Remember the unit (Joules = N ● m)
Calculating Kinetic Energy KE= mv2 2 • Kinetic energy is the energy of motion • Kinetic energy= mass ● velocity2 2
Calculating Kinetic Energy KE= mv2 2 • What is the kinetic energy of a girl who has a mass of 40 kg and a velocity of 3 m/s heading West. I F S M U
Calculating Kinetic Energy KE= mv2 2 • I: mass= 40 kg, velocity = 3 m/s , KE=? • F: KE= mv2 2 • S: KE= (40 kg ● (3m/s )2 2 ■ M: (40 kg ● 9 m2/s2) 2 360 2 180 ( kg ● m2/s2 ) = (kg ● m/s2 ) ● m = N ● m = J ■U: 180 J
Calculating Mechanical Energy ( ME= PE + KE) • Mechanical energy is the object’s combined potential and kinetic energy • Mechanical energy= potential energy + kinetic energy • ME = PE + KE
Calculating Mechanical Energy ( ME= PE + KE) • The potential energy of a girl on a swing just before she is released is 300 J and her kinetic energy after she has been released is 180 J. What is her mechanical energy (total energy) ? • I • F • S • M • U
Calculating Mechanical Energy ( ME= PE + KE) • I: PE= 300 J, KE= 180 J, ME=? • F: ME= PE + KE • S: ME= 300 J + 180 J • M: 480 • U: 480 J
Law of conservation of energy • Energy can not be created or destroyed it is just transferred or transformed • No matter how much energy is transferred all of the energy is still present somewhere in one form or another • Mechanical energy is the combination of both kinetic and potential energy.
Power is the rate at which work is done The unit of measurement for power is watt (W) Power = Work Time P= W/t Power
Calculating Power from work ( P= W/t) • An Antarctic explorer uses 6000 J of work to pull his sled for 60 Seconds. What power does he need? • I • F • S • M • U
Calculating Power from work ( P= W/t) • I: Work= 6000 J, time= 60 s, P=? • F: P= W/t • S: P= 6000J/ 60 s • M: P=100 J/s ( J/s =Watts) • U: P=100 W
Power can be calculated from energy (P=E/t) • Power = Energy/time • A light bulb used 600 J of energy in 6 s. What is the power of the light bulb? • I • F • S • M • U
Power can be calculated from energy (P=E/t) • I: Energy= 600 J, Time= 6 s, P=? • F: P=E/t • S: P= 600 J/6 s • M: P= 100 J/s • U: P= 100 Watts