Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Class Notes: What is money? Work, Energy and Power (Write your definition) Wednesday, October 31, 2007 1 What is energy? 2 Work is done on an object by a force when a FORCE is applied which moves that object through a DISTANCE. (Write your definition) Wednesday, October 31, 2007 Wednesday, October 31, 2007 3 Wednesday, October 31, 2007 4 Work is done on an object by a force when a FORCE is applied which moves that object through a DISTANCE. Work is done on an object by a force when a FORCE is applied which moves that object through a DISTANCE. Is work being done on the car? Wednesday, October 31, 2007 5 Wednesday, October 31, 2007 6 Since both force and displacement are vectors, the amount of work done equals the distance moved times the component of the force that acts in the direction of motion. in other words... or symbols... W= FdCos! W= FdCos! Wednesday, October 31, 2007 7 Wednesday, October 31, 2007 8 How much work is done? Wednesday, October 31, 2007 How much work is done? 9 Work can also be found by calculating the area under a Force vs. displacement graph. Wednesday, October 31, 2007 Wednesday, October 31, 2007 10 Work can also be found by calculating the area under a Force vs. displacement graph. 11 Wednesday, October 31, 2007 12 Units kg•m2 s2 Since W = FdCos! or the units of work are N•m kg•m2 s2 Wednesday, October 31, 2007 or Joules 13 Wednesday, October 31, 2007 14 15 Wednesday, October 31, 2007 16 The sign of work is important! The work done on an object is positive when the component of force is in the same direction as the displacement. (! < 90°) See Figure 5-3 in Holt page 170. Wednesday, October 31, 2007 Energy can be defined as “the capacity to do work”. The sign of work is important! The work done on an object is negative when the component of force is in the opposite direction of the displacement. (! > 90°) Work is a measure of the energy converted from one form to another. See Figure 5-3 on page 170. Wednesday, October 31, 2007 17 Wednesday, October 31, 2007 18 Energy is a conserved quantity. Kinetic energy is the energy of motion. Energy can be converted from one form to another but the total amount of energy will stay constant. Kinetic energy is defined as: 1 KE = mv 2 2 Stop Day One Wednesday, October 31, 2007 19 Wednesday, October 31, 2007 20 First, let’s define net work. The Work-Kinetic Energy Theorem. Sometimes called the Work-energy principle: W net = Fnet d “The net work done on an object is equal to the object’s change in kinetic energy.” Wednesday, October 31, 2007 21 Wednesday, October 31, 2007 22 The Work-energy principle The Work-energy principle W = !KE When work is done on an object, the object’s kinetic energy will change. net W net = KE f ! KE i 1 1 W = mv ! mv 2 2 2 net Wednesday, October 31, 2007 f If W is positive, KE will increase. If W is negative, KE will decrease. 2 i 23 Wednesday, October 31, 2007 24 Potential Energy: Gravitational Potential Energy: The energy associated with an object due to the position of the object. The Potential Energy associated with an object due to the position of the object relative to the Earth or some other gravitational source. Wednesday, October 31, 2007 PE 25 gravitational = mgh 26 Elastic Potential Energy: The Potential Energy stored in a stretched or compressed elastic object. Where h is the height above some arbitrary reference point ... usually the ground. Wednesday, October 31, 2007 Wednesday, October 31, 2007 27 Wednesday, October 31, 2007 28 PE elastic 1 = kx 2 The Law of Conservation of Energy 2 Energy can be transferred from one form to another, but the total energy remains constant. Where k is the “spring constant” measured in newtons per meter and x is the distance that the spring is stretched or compressed. Wednesday, October 31, 2007 29 For objects affected only by gravity and in the absence of friction, we have a simplified version of conservation of energy: Power is the rate at which work is done. W FdCos" P= = !t !t or 2 i Wednesday, October 31, 2007 i f 30 Power PEi + KEi = PEf + KEf 1 1 mgh + mv = mgh + mv 2 2 Wednesday, October 31, 2007 2 f 31 Wednesday, October 31, 2007 32 Power is measured in Joules per second. Power is not a measure of how much work is done. Power is a measure of how quickly work is being done. One Joule per second is also called 1 Watt. J 1 = 1W s Wednesday, October 31, 2007 33 Wednesday, October 31, 2007 Another way to calculate Power: A commonly needed conversion: Fd d P= = F = Fv !t !t 1 Horsepower (HP) = 746 Watts Wednesday, October 31, 2007 35 Wednesday, October 31, 2007 34 36 The End Wednesday, October 31, 2007 37