Relativity Questions Chris Parkes. Motion As a high-speed spaceship flies past you at half the speed of light, it fires a strobe light. An observer on.

Slides:



Advertisements
Similar presentations
Faster-Than-Light Paradoxes in Special Relativity
Advertisements

Electricity and Magnetism II
Classical Relativity Galilean Transformations
Physics Lecture Resources
Physics 1161: Lecture 26 Special Relativity Sections 29-1 – 29-6.
60 km/h 0 km/h > 60 km/h < 60 km/h
Quick Quizzes Relativity.
Relativity H2: Concepts and postulates of special relativity.
Theory of Special Relativity
Cutnell/Johnson Physics 7th edition
Q37.1 As a high-speed spaceship flies past you at half the speed of light, it fires a strobe light. An observer on board the spaceship measures a spherical.
Special Relativity. Clock A is at rest in our frame of reference and Clock B is moving at speed (3/5) c relative to us. Just as Clock B passes Clock A,
Chapter 36. Which of these is an inertial reference frames (or a very good approximation)? 1. A car rolling down a steep hill 2. A rocket being launched.
Quiz on Relativity. You and your friend are playing catch in a train moving at 60 mph in an eastward direction. Your friend is at the front of the car.
1 Special Relativity (Ch 37) Modern physics special relativity quantum mechanics Both were developed to explain the “few remaining puzzles” of classical.
1 Length contraction Length measured differs from frame to frame – another consequence of relativistic effect Gedankan experiment again!
Homework #3 L-8 (25 points) L-16 (25 points) 4-1 (20 points) Extra credit problem (30 points): Show that Lorentz transformations of 4-vectors are similar.
Special Relativity & General Relativity
Chapter 37 Special Relativity. 37.2: The postulates: The Michelson-Morley experiment Validity of Maxwell’s equations.
Time Dilation, Length Contraction and Doppler
Special Relativity. Topics Motion is Relative Michelson-Morley Experiment Postulates of the Special Theory of Relativity Simultaneity Spacetime Time Dilation.
Physics for Scientists and Engineers, 6e
Relativistic Velocity. Galilean Transformation  Relative velocity has been used since the time of Galileo. Sum velocity vectorsSum velocity vectors Relative.
Further Logistical Consequences of Einstein’s Postulates
Special Relativity Physics 1161: Lecture 35 Sections 29-1 – 29-6.
Short office hours today. The Barn Door Paradox Lorentz transform Lorentz Transformation The primed frame moves with velocity v in the x direction with.
Outline - Feb. 8, 2010 Postulates of special relativity State of Motion Reference Frames Consequences of c = constant Time dilation and length contraction.
Chapter 29 Relativity.
Why does the mud fly off the tires of a pickup traveling down the interstate? Copernicus had difficulty convincing his peers of the validity of his heliocentric.
Announcements Homework: Supplemental Problems 2 nd Project is due at the final exam which is Tuesday May 5 at 1:30 – 3:30pm. A list of potential projects.
Physics 213 General Physics Lectures 20 & Last Meeting: Optical Instruments Today: Optics Practice Problems, Relativity (over two lectures)
IB Physics – Relativity Relativity Lesson 2 1.Time dilation 2.Lorentz Factor 3.Proper time 4.Lorentz contraction 5.Proper length 6.Twin paradox and symmetric.
A lecture series on Relativity Theory and Quantum Mechanics The Relativistic Quantum World University of Maastricht, Sept 24 – Oct 15, 2014 Marcel Merk.
Time Dilation and Lorentz Contraction Physics 11 Adv.
Special Relativity.
The Theory of Special Relativity Ch 26. Two Theories of Relativity Special Relativity (1905) –Inertial Reference frames only –Time dilation –Length Contraction.
Time Dilation We can illustrate the fact that observers in different inertial frames may measure different time intervals between a pair of events by considering.
Introduction to the Lorentz Transformation. this is gamma – the third letter of the Greek alphabet v = speed of the object (in m/s) c = speed of light.
1.Simultaneity 2.Time Dilation 3.Length Contraction SPECIAL RELATIVITY Space, time, motion, revisited.
Lecture_06: Outline Special Theory of Relativity  Principles of relativity: length contraction, Lorentz transformations, relativistic velocity  Relativistic.
My Chapter 26 Lecture.
Physics 102: Lecture 28, Slide 1 Special Relativity Physics 102: Lecture 28 Make sure your grade book entries are correct Bring ID to Final EXAM!!!! Today’s.
Physics 1202: Lecture 19 Today’s Agenda Announcements: –Lectures posted on: –HW assignments, etc.
Handy Dandy Chart  = 1v = 0  = 2v =.866 c  = 2.5v =.92 c  = 7v =.99 c  = 10v =.995 c  = 100v = c.
Consequences of Special Relativity Simultaneity: Newton’s mechanics ”a universal time scale exists that is the same for all observers” Einstein: “No universal.
Special Relativity = Relatively Weird
R1 Everything should be made as simple as possible, but not simpler -A. Einstein.
11.1 – Frames of Reference and Relativity
Visual Guide to Special and General Relativity. This is about to get weird…
Special Theory Of Relativity Relative Motion How fast is Car A going relative to Car B? v = 24 m/sv = 10 m/s Car A Car B How fast is Car A going relative.
1 1.Time Dilation 2.Length Contraction 3. Velocity transformation Einstein’s special relativity: consequences.
Consequences of Relativism SPH4U. Wind Back the Clock Two consequences of relativism discussed: To a stationary observer, time appears to slow down in.
Physics 12 Mr. Jean January 6 th, The plan: Video clip of the day. Visiting the relatives How mass increases with speed. Finish (Faster than the.
Galileo’s Relativity: Text: The laws of mechanics are the same in all inertial reference frames. More general: The laws of mechanics are the same in all.
About length contraction Moving bodies are short.
Key Areas covered The speed of light in a vacuum is the same for all observers. The constancy of the speed of light led Einstein to postulate that measurements.
11.1 – Frames of Reference and Relativity. Inertial Frame of Reference (IFOR) a frame of reference in which the law of inertia holds The FOR must be at.
A warning light in the engine of a fast-moving train flashes once each second according to a clock on the train. Will an observer on the ground measure.
RELATIVITY TOOLKIT Time Dilation:  t(v) = [1/(1 – v 2 /c 2 ) 1/2 ]  t(0) Length Contraction: d(v) = (1 – v 2 /c 2 ) 1/2 d(0) Change in Synchronization:
Some places where Special Relativity is needed
Special Relativity II Two-minute movie Quiz Breakdown of simultaneity
The Relativistic Quantum World
Physics: Principles with Applications, 6th edition
Quiz_09 Relativity – simultaneity, time dilation, length contraction
A. is spherical and remains centered on the spaceship as it moves.
Einstein’s Relativity Part 2
Physics 1161: Lecture 26 Special Relativity Sections 29-1 – 29-6.
Key Areas covered The speed of light in a vacuum is the same for all observers. The constancy of the speed of light led Einstein to postulate that measurements.
Lorentz Transformations
Chapter 37 Special Relativity
Presentation transcript:

Relativity Questions Chris Parkes

Motion

As a high-speed spaceship flies past you at half the speed of light, it fires a strobe light. An observer on board the spaceship measures a spherical wave front that spreads away from the strobe light with the same speed c in all directions. The wave front that you measure Q is spherical and remains centered on the spaceship as it moves 2. is spherical and is centered on the point where the spaceship was when the strobe was fired 3. is not spherical but remains centered on the spaceship as it moves 4. is not spherical but is centered on the point where the spaceship was when the strobe was fired

Santiago stands on the ground as Miriam flies directly toward him in her spaceship at 0.5c. She fires a small rocket directly toward Santiago that flies at a speed of 0.8c relative to her spaceship. According to Santiago, the speed of the rocket is Q c 2. faster than c but slower than 1.3c 3. c 4. faster than 0.8c but slower than c c

A high-speed train is traveling from Glasgow to Edinburgh. According to an observer at rest on the ground, the clocks at the railroad stations in Glasgow and Edinburgh both strike noon at the same time. According to a passenger on the train, when the Glasgow clock strikes noon, what time is it in Edinburgh? Q noon 2. before noon 3. after noon 4. answer depends on the speed of the train simultaneity

Moving towards Edinburgh noon clock Moving away from Glasgow noon clock Glasgow Edinburgh

Samir (who is standing on the ground) starts his stopwatch at the instant that Maria flies past him in her spaceship. At the instant that Samir’s stopwatch reads 8.0 s, Maria’s stopwatch reads 10.0 s. According to Maria, her spaceship is 100 m long (along the direction of motion). According to Samir, the length of her spaceship is Q m m m m 5. none of the above Time dilation & length Contraction: Lorentz transforms

Samir (who is standing on the ground) starts his stopwatch at the instant that Maria flies past him in her spaceship. According to Maria, at the instant that Samir’s stopwatch reads 16.0 s, Maria’s stopwatch reads 20.0 s. According to Samir, at the instant that Maria’s stopwatch reads 20.0 s, Samir’s stopwatch reads Q s s s 4. none of the above Lorentz transforms

According to the relativistic expression for momentum, if the speed of an object is doubled, the magnitude of the momentum Q increases by a factor greater than 2 2. increases by a factor of 2 3. increases by a factor greater than 1 but less than 2 4. answer depends on the value of the initial speed