Announcements 12/6/10 Prayer Tomorrow: last day for exam 3 (late fee after 5 pm). Wednesday: Project Show & Tell. In the end, we had 14 groups volunteer.

Slides:

Advertisements

Similar presentations

1 PHYS 3313 – Section 001 Lecture #7 Wednesday, Feb. 5, 2014 Dr. Jaehoon Yu Relativistic Momentum and Energy Relationship between relativistic quantities.

Advertisements

Momentum and Energy in Collisions. A 2kg car moving at 10m/s strikes a 2kg car at rest. They stick together and move to the right at ___________m/s.

10.Relativistic Energy To derive the relativistic form of the work–kinetic energy theorem, let us imagine a particle moving in one dimension along the.

Announcements 12/5/11 Prayer Office hours: a. a.Today: Colton regular; Chris regular b. b.Wed: Colton none; Chris 5-7 pm Wednesday: Project Show & Tell.

Announcements 4/11/11 Prayer Wednesday: Project Show & Tell. The lucky winners are: a. a.Michael Meehan & Nick Prestwich – Doppler effect b. b.Conrad Rosenbrock.

Energy and momentum: Collisions and conservation laws.

Work. Energy. Power. Physical work Work (W) is defined as the force (F) times the distance (s) moved in the direction of the force (cos Θ ) NB! Θ is angle.

Conservation of Mechanical Energy Chapter 6. Energy  As you know, energy comes in many forms. Kinetic Energy Potential Energy  Gravitational Potential.

Nuclear Physics Developed by Mr. D. Patterson.

Potential and Kinetic Energy

Relativistic Kinetic Energy

Chapter 4. The nature of energy Energy: The ability to do work or cause change All energy involves either motion or position Where are we using energy.

Energy Every observable change requires energy.

Energy: Forms and Changes. Forms of Energy The five main forms of energy are: –Heat –Chemical –Electromagnetic –Nuclear –Mechanical.

Physics 2170 – Spring Special relativity Homework solutions are on CULearn Homework set 3 is on the website.

Energy and Conservation Physics Chapter 5-2 (p ) Chapter 5-3 (p )

Mass and Energy. Beta Factor  Relativity matters when speeds are close to that of light. v > 0.1cv > 0.1c v/c > 0.1 (less than 1% error)v/c > 0.1 (less.

ENERGY AND WORK Essential Question: How are energy, work and power related?

Lecture Eighteen Physics 100 Fall 2012  Conservation of Energy.

Warm Up 1. What is energy? 2. What is chlorophyll? 3. What is ecology? 4. What is cellular respiration? 5. How does a plant get fertilized?

1 Relativity H4: Some consequences of special relativity.

Welcome to Jeopardy. Round 1 WorkPEKEPowerEnergy

Monday, Feb. 16, 2015PHYS , Spring 2014 Dr. Jaehoon Yu 1 PHYS 3313 – Section 001 Lecture #8 Monday, Feb. 16, 2015 Dr. Jaehoon Yu Relativistic Energy.

Work, Energy and Power. Work and Energy  Work is defined as the transforming or converting from one form of energy into another form of energy.  Every.

Quiz Question What is it that is “equivalent” in the equivalence principle of general relativity? A.Light and matter B.Light and energy C.Velocity and.

Announcements 12/3/12 Prayer Wednesday: Project Show & Tell a. a.Cade & Seth – musical cadences b. b.Tess & Brigham - pvc instrument c. c.Tyler - sonoluminescence.

15.1 Energy and it’s forms Work = force x distance Work = transfer of energy Kinetic Energy= KE= ½ mv 2 Mass in kilograms, velocity in meters/sec Kg m.

1 Relativity (Option A) A.4 Relativistic momentum and energy.

Physical Science Chapter 15

Physical Science Chapter 5 Energy & Power. 5.1 The Nature of Energy Energy – the ability to do work or cause a change. Energy – the ability to do work.

What is energy? --Ability to do work!. Forms of energy Thermal Energy the kinetic energy of atoms and molecules (remember, “heat” is the transfer of this.

Bell Ringer 11/13 Explain the difference between KINETIC energy and POTENTIAL energy: Also: get out your TEST: ENERGY and MOMENTUM (I passed it out yesterday)

1. What is the difference in elastic and inelastic collisions?

Essential idea: The relativity of space and time requires new definitions for energy and momentum in order to preserve the conserved nature of these laws.

Work, Energy and Power. Energy: Energy can neither be created nor destroyed. It comes in many forms: Kinetic Potential (gravitational, chemical, elastic)

1 Relativity H6: Relativistic momentum and energy.

So what about mass? 1. What happens to time from the frame of reference of a stationary observer on Earth as objects approach c? 2. What notation is given.

What is energy?.  Energy- the ability to do work  The unit for energy is Joule (J)– just like work.

Forms of Energy. Energy Energy Energy- The ability to do work Energy- The ability to do work Work- A transfer of energy Work- A transfer of energy Work.

Energy: Forms and Changes. Nature of Energy Energy is all around you! –Y–You can hear energy as sound. –Y–You can see energy as light. –A–And you can.

1.1Conservation of Energy 1.1.1Total Mechanical Energy 1.1.2Work 1.1.3Momentum and Hamiltonian Equation 1.1.4Rest Mass 1.1.5Summary 1.1.5Homework.

Energy: Forms and Changes. Nature of Energy EEnergy is all around you! You can hear energy as sound. You can see energy as light. And you can feel it.

Energy IPC Physical Science, Mr. Hayhurst, Lancaster High School.

Fall 2010 PHYS 172: Modern Mechanics Lecture 11 – The Energy Principle Chapter 6.15 – 6.17, 7.1 – 7.2 ANNOUNCEMENT The Final Exam in Phys 172H is scheduled.

EQ – How is life affected by energy? S8CS2 (Habits of Mind) & S8CS8 (Nature of Science) S8P2. Students will be familiar with the forms and transformations.

Work = work is done when a net force on an object causes it to move a distance W = Fd Or Work (measured in joules) = Force (N) times Distance (m) Is work.

Relativistic Momentum p  mu/[(1 – (u/c) 2 ] 1/2 =  mu   1     

P. Sci. Unit 4 Chapter 15 Energy. Energy and Work Whenever work is done, energy is transformed or transferred to another system. Energy is the ability.

Work is the product of a force moving an object a given distance.

1. What is the difference in elastic and inelastic collisions?

Chapter 7 Energy & Its Forms.

Energy: Forms and Changes

PHYS 3313 – Section 001 Lecture #9

Relativity of Mass According to Newtonian mechanics the mass of a body is unaffected with change in velocity. But space and time change…….. Therefore “mass”

Elastic Collisions.

Chapter 15: Energy Kinetic & Potential energy

Potential and Kinetic Energy

Information Next lecture on Wednesday, 9/11/2013, will

MOMENTUM (p) is defined as the product of the mass and velocity -is based on Newton’s 2nd Law F = m a F = m Δv t F t = m Δv IMPULSE MOMENTUM.

Kinetic Energy: K = ( - 1)mc2

Chapter 7 Energy & Its Forms.

CHAPTER 15: ENERGY!.

Energy: Forms and Changes

Binding energy Electric potential energy => Nuclear Binding energy ( a mass loss! ) What is the energy change that occurs when constituent particles come.

Chapter 28 Relativity.

Special Relativity Chapter 1-Class6.

Ch. 15 Intro to Physics Energy.

Information Next lecture on Wednesday, 9/11/2013, will

Ch. 4 – Energy I. Energy: The ability to cause a change!

Presentation transcript:

Announcements 12/6/10 Prayer Tomorrow: last day for exam 3 (late fee after 5 pm). Wednesday: Project Show & Tell. In the end, we had 14 groups volunteer (19 students). The lucky winners are: a. a.Robert McClellan – particle vs. wave character of light b. b.Diana Winn – pedestrian traffic on campus as wave functions c. c.Kaleb Markert – homemade reflecting and refracting telescopes d. d.Brian Jackson & Nick Ortega – 3D standing sound waves You will present in that order; a 10 minute cut-off for each group. Final exam: Thurs Dec 16, 7-10 am. Here in this room. Final exam review? FoxTrot, by Bill Amend

Elastic Collision 9 m/s 3 m/s6 m/s v 1,after = ? v 2,after = ? Check: (1)(9) + (2)(0) = -(1)(3) + (2)(6) 9 = 9  4 m/s 8 m/s 1 m/s 1 kg 2 kg 1 kg 2 kg1 kg 2 kg 5 m/s Check: (1)(4) - (2)(5) = -(1)(8) + (2)(1) -6 = -6  0 m/s ? ?

Elastic Collision 0.9 c 0.3 c 0.6 c Check: (1)(0.9) + (2)(0) = -(1)(0.3) + (2)(0.6) 0.9 = 0.9  0.73 c 0.70 c 0.14 c 1 kg 2 kg 1 kg 2 kg1 kg 2 kg 0.5 c Check: (1)(0.73) - (2)(0.5) = -(1)(0.70) + (2)(0.14) = -.41 Х 0 m/s ? ? Is momentum conserved???

Relativistic Momentum “The Truth”:

Elastic Collision 0.9 c 0.40 c 0.78 c Check: (2.29)(1)(0.9) + 0 = -(1.09)(1)(0.4) + (1.60)(2)(0.78) 2.06 = 2.06  0.73 c 0.75 c 0.46 c 1 kg 2 kg 1 kg 2 kg1 kg 2 kg 0.5 c Check: (1.46)(1)(0.73) – (1.15)(2)(0.5) = -(1.51)(1)(0.75) + (1.13)(2)(0.46) = m/s ? ?  = 2.29  = 1.09  = 1.60  = 1.51  = 1.13  = 1.46  = 1.15 Momentum,    mv, is conserved in every reference frame!!! (disclaimer: has to be elastic collision) 

Thought Question What is the maximum momentum that a particle with mass m can have? a. a.p = mc b. b.p = 2 mc c. c.p = 0.5 mc d. d.There is no maximum momentum e. e.None of the above

Momentum vs. Velocity Why do they agree at small velocities?

Reading Quiz If m is the rest mass of an object, what does mc 2 equal? a. a.The gravitational energy of an object b. b.The kinetic energy of an object c. c.The potential energy of an object d. d.The rest energy of an object e. e.The total energy of an object

Relativistic Energy Momentum  Force (F = dp/dt) Force  Work (W =  Fdx) Work  Energy (E bef + W = E aft ) Result: For m = 1 kg KE (joules) v/c Correct KE ½ mv 2 Why can’t anything go faster than c?

A Word About Units eV MeV MeV/c 2

Thought Question Hydrogen atoms consist of one electron which is bound to a proton by electromagnetic forces. If I very carefully weigh a hydrogen atom, what will I get? a. a.The mass of an electron plus the mass of a proton b. b.Something a little BIGGER than (a) c. c.Something a little SMALLER than (a) d. d.Something entirely different from (a) E bef + W = E aft

Thought Question A nuclear power plant generates 10 million Watts of power nonstop for a day. How much less do the fuel rods weigh at the end of the day? a. a.around grams b. b.around 0.01 grams c. c.around 1 gram d. d.around 1 kg e. e.around 100 kg Nuclear power is not alone in converting mass to energy, ALL power sources do this!

Elastic Collision 0.9 c 0.40 c 0.78 c 1 kg 2 kg 0 m/s  = How did I find out the two speeds after the collision? Conservation of momentum: Conservation of energy:

Relationship between E and p Classical: KE = ½ mv 2 = ? (in terms of p) Relativistic: E =  mc 2 = ? (in terms of p) Proof: ? What if m=0?