1 / 37

Energy

This week in PHY1121, we will be introducing the concept of energy and focusing on the equation for kinetic energy. We will also be reviewing topics such as the Pythagorean Scale, beats and intervals, and pressure. The week will end with the second examination.

pbaldwin
Download Presentation

Energy

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Energy PHY1121

  2. This Week • We introduce the concept of ENERGY. • Last WebAssign before the exam is posted. • Read Chapter 7 “Energy”

  3. Next Class Week (After Break) • Monday – We will spend the entire session working on problems for the chapters we have covered since the last examination. (Send Requests) • Chapters 6 and 7 in the textbook • The Pythagorean Scale • (Measured Tones – Pages 1-9) • Class Notes • Beats and Intervals (Also Review p289-291, 324-5 in textbook) • Pressure (Text pages 214-218) • Review all WebAssigns on these topics. • Enjoy your break!!! • Wednesday – EXAMINATION #2 • Friday – Onward and Upward

  4. There are many different kinds of energy .. many listed in the papers recently. • Chemical (Burning coal, oil, wood) • Wind • Thermal • Nuclear • Energy of Motion • Energy related to position (Potential Energy) • Sound • This topic has been politicized during the last year. • We will avoid the politics. Maybe.

  5. Let’s begin with the definition of WORK • The man applies a constant force F. • He pushes the cart over a distance d. • The force is in the DIRECTION of the motion. (Important – later) • There is NO friction • The amount of work that he does is definedas • Work done = Force x Distance through which the force acts • W=F x d F Distance “d”

  6. Example – A man pushes a 100 kg cart with a force of 50 N over a distance of 10 m. How much work did he do? The units of work are Newton-Meters also called a JOULE What about the mass??

  7. Observation • When the pusher stops pushing the object, it continues to move. • It therefore has acquired some energy of motion from the work that the pusher did. • We call this energy of motion, KINETIC ENERGY • We define Kinetic Energy as

  8. Notice … Push a mass m through a distance “x” with a force F:

  9. In the absence of friction, he work done by an external force on a mass is Equal to the change in its Kinetic Energy.

  10. A First EquationEnergy of Motion • Like momentum, kinetic energy depends on the mass and the motion of the object. But the kinetic energy KE of an object has its own equation.

  11. Details of the EquationEnergy of Motion • The factor of ½ makes the kinetic energy compatible with other forms of energy, which we will study later. • Notice that the kinetic energy of an object increases with the square of its speed. • This means that if an object has twice the speed, it has 4× the kinetic energy; if it has 3× the speed, it has 9× the kinetic energy; and so on.

  12. Units of EnergyEnergy of Motion • The units for kinetic energy, and therefore for all types of energy, are kilograms multiplied by (meters per second) squared (kg · m2/s2). • This energy unit is called ajoule (J). • Kinetic energy differs from momentum in that it is not a vector quantity. • An object has the same kinetic energy regardless of its direction as long as its speed does not change. • A typical textbook dropped from a height of 10 centimeters (about 4 inches) hits the floor with a kinetic energy of about 1 J.

  13. Doing the MathEnergy of Motion • The kinetic energy of a 70-kilogram (154-pound) person running at a speed of 8 meters per second is: KE = ½mv 2 = ½(70 kg)(8 m/s)2 = (35 kg)(64 m2/s2) = 2240 J

  14. Conservation of Kinetic Energy • The search for invariants of motion often involved collisions. In fact, early in their development, the concepts of momentum and kinetic energy were often confused. • Things became much clearer when these two were recognized as distinct quantities. • We have already seen that momentum is conserved during collisions. Under certain, more restrictive conditions, kinetic energy is also conserved. • Remember, there are other forms of energy than kinetic energy!

  15. At the Moment of ImpactConservation of Kinetic Energy • Consider the collision of a billiard ball with a hard wall. Obviously, the kinetic energy of the ball is not constant. • At the instant the ball reverses its direction, its speed is zero, • and therefore its kinetic energy is zero. • As we will see, even if we include the kinetic energy of the wall and Earth, the kinetic energy of the system is not conserved.

  16. Outcomes & AveragesConservation of Kinetic Energy • However, if we don’t concern ourselves with the details of what happens during the collision and look only at the kinetic energy before the collision and after the collision, we find that the kinetic energy is nearly conserved. • During the collision the ball and the wall distort, resulting in internal frictional forces that reduce the kinetic energy slightly. • Let’s assume we have “perfect” materials and can ignore these frictional effects. • In this case the kinetic energy of the ball after it leaves the wall equals its kinetic energy before it hit the wall. • Collisions in which kinetic energy is conserved are known as elastic collisions. • Many atomic and subatomic collisions are perfectly elastic.

  17. Final NotesConservation of Kinetic Energy • Collisions in which kinetic energy is lost are known as inelastic collisions. • The loss in kinetic energy shows up as other forms of energy, primarily in the form of heat, which we will discuss in Chapter 13. • Collisions in which the objects move away with a common velocity are never elastic. • The outcomes of collisions are determined by the conservation of momentum and the extent to which kinetic energy is conserved. • We know that the collisions of billiard balls are not perfectly elastic because we hear them collide. (Sound is a form of energy and therefore carries off some of the energy.)

  18. Is kinetic energy conserved here?

  19. In the previous slide • All of the kinetic energy was lost. • It crunched the metal • It created heat (thermal energy) • It destroyed the tires • Momentum WAS conserved • Cars are not conserved!

  20. A Better Statement of Conservation of Energy

  21. More Better • There is still another form of “mechanical energy” that we haven’t discussed yet. • This is called “potential energy” • If we include this form of energy, a “more better” statement of conservation of energy would be: • The total mechanical energy BEFORE a collision (or interaction) is equal to the total FINAL mechanical energy after the collision + any losses to friction, chemical explosions, etc. • This can also work in reverse.

  22. Forces That Do No Work • The meaning of work in physics is different from the common usage of the word. • Commonly, people talk about “playing” when they throw a ball and “working” when they study physics. • The physics definition of work is quite precise—work occurs when the product of the force and the distance is nonzero. • When you throw a ball, you are actually doing work on the ball; its kinetic energy is increased because you apply a force through a distance. • Although you may move pages and pencils as you study physics, the amount of work is quite small.

  23. Pushing At An AngleForces That Do No Work • Often, a force is neither parallel nor perpendicular to the displacement of an object. Because force is a vector, we can think of it as having two components, one that is parallel and one that is perpendicular to the motion as illustrated in Figure 7-4. The parallel component does work, but the perpendicular one does not do any work. Any force can be replaced by two perpendicular component forces. Only the component along the direction of motion does work on the box.

  24. Mass held high and released …. Mass held at some height. Not moving. No Kinetic Energy Before it hits the ground it is now moving. It has Kinetic Energy. Where did it come from??

  25. Originally, the mass was on the ground (our reference level for y=0) The work done to raise the block to the height h is the FORCE x Distance =(mg)x(h) Force Required To Raise item to Height “h” F mg This is the amount of energy That is stored by virtue of its Position above the ground. We call this the potential energy PE = mgh h

  26. Another Example Energy winds up Stored in t he spring!

  27. Some important points • When doing potential energy problems, always identify the “zero” or reference position (height) of energy. • Remember that Potential energy, Kinetic Energy and all energies are SCALARS! • Momentum, of course, is a VECTOR.

  28. The Pendulum All Potential Energy Reference Level All Kinetic Energy Both types of Energy

  29. How Fast?? • The wind turbine doesn’t actually store energy. • It can only generate a certain amount of energy per minute (or hr or sec). • Therefore we can only use this energy at a certain rate (or, send it along the grid for someone else to use.

  30. What’s watt?? Power • In previous chapters we discussed how various quantities change with time. • For example, speed is the change of position with time, • and acceleration is the change of velocity with time. • The change of energy with time is called power. • Power P is equal to the amount of energy converted from one form to another (ΔE)divided by the time (Δt)during which this conversion takes place: • Power is measured in units of joules per second, a metric unit known as a watt (W). One watt of power would raise a 1-kg mass (with a weight of 10 newtons) a height of 0.1 meter each second.

  31. Some Different Units of MeasurementPower • The English unit for electric power is the watt, but a different English unit is used for mechanical power. • A horsepower is defined as 550 foot-pounds per second. • This definition was proposed by the Scottish inventor James Watt because he found that an average strong horse could produce 550 foot-pounds of work during an entire working day. • One horsepower is equal to 746 watts.

  32. Human Power • A human can generate 1500 watts (2 horsepower) for very short periods of time, such as in weightlifting. • The maximum average human power for an 8-hour day is more like 75 watts (0.1 horsepower). • Each person in a room generates thermal energy equivalent to that of a 75-watt light bulb. That’s one of the reasons why crowded rooms warm up!

  33. Working It OutPower • A compact car traveling at 27 m/s (60 mph) on a level highway experiences a frictional force of about 300 N due to the air resistance and the friction of the tires with the road. • Therefore, the car must obtain enough energy by burning gasoline to compensate for the work done by the frictional forces each second: • This means that the power needed is 8100 W, or 8.1 kW. • This is equivalent to a little less than 11 horsepower.

  34. Paying for it!

  35. Working It OutPower • How much electric energy does a motor running at 1000 W for 8 h require? ΔE = PΔt = (1000 W)(8 h) = 8000 Wh • This is usually written as 8 kilowatt-hours (kWh). Although this doesn’t look like an energy unit, it is—(energy/time) × time = energy. • The energy used by the motor in 1 h is ΔE = PΔt = (1000 W)(1 h) = (1000 J/s)(3600 s) = 3,600,000 J • In other words, 1 kWh = 3.6 million J.

  36. Conceptual QuestionPower • Question: How much energy is required to leave a 75-watt yard light on for 8 hours? Answer:ΔE = PΔt = (75 watts)(8 hours) = 600 watt-hours = 0.6 kWh.

More Related