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Hewitt/Lyons/Suchocki/Yeh Conceptual Integrated Science Chapter 4 MOMENTUM AND ENERGY Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley This lecture will help you understand: • • • • • • • • • • • • • • Momentum Impulse Impulse–Momentum Relationship Conservation of Momentum Work Energy Power Potential Energy Kinetic Energy The Work-Energy Theorem Kinetic Energy and Momentum Conservation of Energy Machines Efficiency Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Momentum Momentum—is ________ in _______ __________________________________ __________________________________ __________________________________ momentum = ____ ____ Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Momentum Momentum = ______ __________ or Momentum = mass ______ (_________________________) Momentum = mv _______ high ____ or high ______ high _________ ______ and high velocity higher __________ _______ mass or low ________ low ____________ low mass and low velocity lower momentum Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley _______________ Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Momentum CHECK YOUR NEIGHBOR A moving object has A. B. C. D. momentum. energy. speed. all of the above. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Momentum CHECK YOUR NEIGHBOR When the speed of an object is doubled, its momentum A. B. C. D. remains unchanged in accord with the conservation of momentum. doubles. quadruples. decreases. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Impulse Impulse- _______________________________ ____________ for impulse: Impulse = _______ _______ = ___ great force for ________ time _________ impulse same force for __________ time __________ impulse Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Impulse CHECK YOUR NEIGHBOR When the force that produces an impulse acts for twice as much time, the impulse is A. B. C. D. not changed. doubled. increased by four times. decreased by half. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley _______ - _________ Relationship The __________ in ____________ of an object is ________ to the _______ applied to it __________ by the ________ interval during which the ________ is ________. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Impulse–Momentum Relationship Equation: ___________ = change in momentum or ______ ______ = ____ __________ _______ force, ______ change in velocity ______ change in ________ _______ force for short time ________ change in _________ _____ force for _______ time ____ change in _________ Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Impulse–Momentum Relationship Cases of momentum changes: _____________ Momentum ____________________________________________ _____________________________________________ Examples: __________ cannons have ___ barrels for ________ range A golfer _______ _________ while teeing off Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Impulse–Momentum Relationship CHECK YOUR NEIGHBOR A cannonball shot from a cannon with a long barrel will emerge with greater speed, because the cannonball receives a greater A. B. C. D. average force. impulse. both of the above. neither of the above. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Impulse–Momentum Relationship Cases of momentum changes: ______________ Momentum ____________________________________________ ____________________________________________ Examples: _______ into a _________ versus a brick ______ _________ into a _______ net versus onto solid _____ Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Impulse–Momentum Relationship CHECK YOUR NEIGHBOR A fast-moving car hitting a haystack or hitting a cement wall produces vastly different results. Both experience A. B. C. D. the same change in momentum. the same impulse. the same force. A and B. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Impulse–Momentum Relationship CHECK YOUR NEIGHBOR When a dish falls, will the change in momentum be less if it lands on a carpet than if it lands on a hard floor? (Careful!) A. B. C. D. No, both are the same. Yes, less if it lands on the carpet. No, less if it lands on a hard floor. No, more if it lands on a hard floor. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley _______________ of Momentum In _______ case, the _________ of a system _________ _______ unless it is ________ on by ___________ forces. A system will have the _______ momentum _______ ______ and ______ the interaction occurs. When the momentum does _____ change, we say it is ________________. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Conservation of Momentum Law of ______________ of ___________: ______________________________________ ______________________________________ ____________ form: (_____ momentum) ___ =(____ momentum)___ Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Conservation of Momentum Collisions When objects ______ in the __________ of external forces, _______________________________________________ Examples: _________ collisions _________ collisions Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Conservation of Momentum Elastic collision _____________________________________________ _____________________________________________ _____________________________________________ Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Conservation of Momentum Moving Ball A __________ Ball B, ______ at ___. Ball A comes to ____, and Ball B moves ___ with a ________ _____ to the ____ velocity of Ball A. Momentum is ____________ from Ball A to Ball B. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Conservation of Momentum ______________ collision ______________________________________ ______________________________________ ______________________________________ ______________________________________ Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Conservation of Momentum CHECK YOUR NEIGHBOR Freight Car A is moving toward identical Freight Car B that is at rest. When they collide, both freight cars couple together. Compared with the initial speed of Freight Car A, the speed of the coupled freight cars is A. B. C. D. the same. half. twice. none of the above. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Work Work is defined ______________________________________ _________________________________ (in the same direction as the force). ______________________________________ ______________________________________ ______________________________________ Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Work Two things enter where work is done: • _____________ of force • ___________ of something ___ that ________ Work done on the object ___________________ by the ________________________ ________________________. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Work CHECK YOUR NEIGHBOR If you push against a stationary brick wall for several minutes, you do no work A. B. C. D. on the wall. at all. both of the above. none of the above. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Work The quantity of work done ________________________________________ ____________________________ in the _______ in which the force acts. Work falls into two categories: • work done ______________ another force • work done to ________ ____ ______ of an object Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Work CHECK YOUR NEIGHBOR Work is done in lifting a barbell. How much work is done in lifting a twice-as-heavy barbell the same distance? A. B. C. D. Twice as much. Half as much. The same. Depends on the speed of the lift. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Work CHECK YOUR NEIGHBOR You do work when pushing a cart with a constant force. If you push the cart twice as far, then the work you do is A. B. C. D. less than twice as much. twice as much. more than twice as much. zero. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Energy Energy ______________________________________ ______________________________________ The _______ of _______ are observed only when it is being _________ from ___ place to ______ or _____________ from ____ form to _________. Unit for energy: _________ Both _____ and _______ are measured in _____. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Power Power ____________________________________ or the ______ at which ________ is _______ from ______ ________ to ______________. Equation for power: Power work done time interval Units for power: _________________, or ____ (One watt = 1 joule of work per second) Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Power CHECK YOUR NEIGHBOR A job can be done slowly or quickly. Both may require the same amount of work, but different amounts of A. B. C. D. energy. momentum. power. impulse. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Potential Energy Potential Energy is defined ______________________________________ ____________. In its stored state, ________ has the ___________ for doing work. Examples: __________ bow ________________ rubber band ___________ ram of a pile driver Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Potential Energy The amount of gravitational potential energy possessed by an elevated object_________ _____________________________________ _____________________________________. _____ done ______ _____ required to move it _______ the _____ distance moved (______). The upward force when moved at constant velocity is the weight, _____, of the object. So the work done in lifting it through ______ h is the product mgh. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley _____________ Energy Equation for gravitational potential energy: PE = ________________ or PE = ___________ _______________ potential energy examples: Water in an ___________ reservoir The elevated ram of a pile driver Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Potential Energy CHECK YOUR NEIGHBOR Does a car hoisted for repairs in a service station have increased potential energy relative to the floor? A. B. C. D. Yes. No. Sometimes. Not enough information. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Kinetic Energy Kinetic Energy is defined as the energy of a moving body Equation for kinetic energy: Kinetic energy = 1/2 mass speed2 or Kinetic energy = 1/2 mv2 small changes in speed large changes in kinetic energy Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Kinetic Energy CHECK YOUR NEIGHBOR Must a car with momentum have kinetic energy? A. B. C. D. Yes, due to motion alone. Yes, when motion is nonaccelerated. Yes, because speed is a scalar and velocity is a vector quantity. No. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley The Work-Energy Theorem When work is done on an object to change its kinetic energy, the amount of work done is equal to the change in kinetic energy. Equation for work-energy theorem: Net work = __________________ • If there is ___ _________ in object’s energy, then __ work is done. • Applies to ______________ energy: For a ________ held stationary, _____ further work is done no further change in _______________ • Applies to ______________ energy: The more __________ energy something has the _________ work is ____________ to _________ it Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley The Work-Energy Theorem CHECK YOUR NEIGHBOR Consider a problem that asks for the distance a fastmoving crate slides across a factory floor in coming to a stop. The most useful equation for solving this problem is A. B. C. D. F = ma. Ft = mv. KE = 1/2mv2. Fd = 1/2mv2. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley The Work-Energy Theorem CHECK YOUR NEIGHBOR The work done in braking a moving car to a stop is the force of tire friction stopping distance. If the initial speed of the car is doubled, the stopping distance is A. B. C. D. actually less. about the same. twice. none of the above. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley _________ Energy and Momentum Comparison of _______ _______ and _________ • ______ depend on ______ and _________— _________ depends on ______ and ______. ___ depends on ______ and the ________ of its speed. • _________ is a vector quantity. ________ energy is a ____________ quantity. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley ____________ of Energy __________________ is defined in everyday language as “______”—in physics, to “______ ____________.” _______ of ____________ of _________: In the ___________ of ___________ work input or output, the energy of a system remains unchanged. _______ cannot be ________ or __________. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Conservation of Energy A situation to ponder… Consider the _______ of a _______ and _________. In drawing the ______, we do work on the system and give it ________ energy. When the bowstring is ________, most of the ___________ energy is _____________ to the arrow as ________ energy and some as _______ to the bow. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley A situation to ponder… CHECK YOUR NEIGHBOR Suppose the potential energy of a drawn bow is 50 joules, and the kinetic energy of the shot arrow is 40 joules. Then A. B. C. D. energy is not conserved. 10 joules go to warming the bow. 10 joules go to warming the target. 10 joules is mysteriously missing. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley _____________ Machine — a device for __________ force or changing the __________ of force. No machine can • put out more ________ than is put into it. • _________ energy; it can only transfer or _____________ energy. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Machines Equation: work ______ = work ______ (______ distance)___ =(____ distance)____ Example: a _______ lever small input force over a ____ distance large _______ ______ over a _______ distance Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Machines CHECK YOUR NEIGHBOR In an ideal pulley system, a woman lifts a 100-N crate by pulling a rope downward with a force of 25 N. For every one-meter length of rope she pulls downward, the crate rises A. B. C. D. 50 centimeters. 45 centimeters. 25 centimeters. none of the above. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Efficiency Efficiency— ________________________________________ _______________________________________. Equation for efficiency: Efficiency work done 100% energy used a machine with ___ efficiency greater amount of _____ wasted as heat Some ______ is always _________ as heat, which means that no machine is ever 100% ________. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley Efficiency CHECK YOUR NEIGHBOR A certain machine is 30% efficient. This means the machine will convert A. B. C. D. 30% of the energy input to useful work—70% of the energy input will be wasted. 70% of the energy input to useful work—30% of the energy input will be wasted. as strange as it may seem, both of the above. none of the above. Copyright © 2007 Pearson Education, Inc., publishing as Pearson Addison-Wesley