Special Relativity The laws of mechanics must be
Description: Special Relativity The laws of mechanics must be the same in all inertial reference frames Time is the same across all reference frames Simple addition of velocities between frames Galileos Principle of Relativity The laws of physics must
Related Topics
Download Presentation
"Special Relativity The laws of mechanics must be" is the property of its rightful owner. Permission is granted to download and print the materials on this website for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Presentation Transcript
slide1. Special Relativity<br>
slide2. The laws of mechanics must be the same in all inertial reference frames
Time is the same across all reference frames
Simple addition of velocities between frames Galileo’s Principle of Relativity<br>
slide3. The laws of physics must be the same in all inertial reference frames
The speed of light in vacuum has the same value in all inertial frames, regardless of the velocity of the observer or the velocity of the source emitting the light Einstein’s Principle of Relativity<br>
slide4. d v mirror An observer inside a moving train views a ray of light as follows:<br>
slide5. An observer outside a moving train, on the ground, at rest views a ray of light as follows: d v<br>
slide6. Length contraction<br>
slide7. Momentum & Energy<br>
slide8. Momentum & Energy<br>
slide9. ct x An object sitting at rest, whose position (x) stays the same x ct An object with some velocity, v<br>
slide10. θ<br>
slide11. Elsewhere FUTURE PAST E
L
S
E
W
H
E
R
E E
L
S
E
W
H
E
R
E<br>
slide12. Strict Causality X 100 ly t<br>
slide13. ct ct’ If an object, ct’, is moving and another object, ct is at rest, relative to ct’, it looks like ct is moving Tilted Axis ct’ x’ θ x=ct<br>
slide14. The pole in the barn effect
The pole and barn both see each other as being less than 100 m by the gamma factor.
At some instance the doors of the barn could be closed and opened, trapping the pole in the barn.
The pole sees the doors of the barn close one at a time, and open one at a time Consequences v 100 m 100 m<br>
slide15. 2. Twin Paradox A B Twin B Leaves on a rocket to mars.
Twin A sees twin B as moving close to the speed of light; he sees twin B as 21 and himself as 25.
When the rocket turns around, twin 2 sees himself as 25 and twin A as 21. 20 years old 20 years old Once things accelerate, they are no longer in the inertial reference frame.
General Relativity deals with accelerated reference frames.<br>
slide16. General Relativity<br>
slide17. Adding Velocities v1 v2<br>
slide18. Equations to Know<br>
slide2. The laws of mechanics must be the same in all inertial reference frames
Time is the same across all reference frames
Simple addition of velocities between frames Galileo’s Principle of Relativity<br>
slide3. The laws of physics must be the same in all inertial reference frames
The speed of light in vacuum has the same value in all inertial frames, regardless of the velocity of the observer or the velocity of the source emitting the light Einstein’s Principle of Relativity<br>
slide4. d v mirror An observer inside a moving train views a ray of light as follows:<br>
slide5. An observer outside a moving train, on the ground, at rest views a ray of light as follows: d v<br>
slide6. Length contraction<br>
slide7. Momentum & Energy<br>
slide8. Momentum & Energy<br>
slide9. ct x An object sitting at rest, whose position (x) stays the same x ct An object with some velocity, v<br>
slide10. θ<br>
slide11. Elsewhere FUTURE PAST E
L
S
E
W
H
E
R
E E
L
S
E
W
H
E
R
E<br>
slide12. Strict Causality X 100 ly t<br>
slide13. ct ct’ If an object, ct’, is moving and another object, ct is at rest, relative to ct’, it looks like ct is moving Tilted Axis ct’ x’ θ x=ct<br>
slide14. The pole in the barn effect
The pole and barn both see each other as being less than 100 m by the gamma factor.
At some instance the doors of the barn could be closed and opened, trapping the pole in the barn.
The pole sees the doors of the barn close one at a time, and open one at a time Consequences v 100 m 100 m<br>
slide15. 2. Twin Paradox A B Twin B Leaves on a rocket to mars.
Twin A sees twin B as moving close to the speed of light; he sees twin B as 21 and himself as 25.
When the rocket turns around, twin 2 sees himself as 25 and twin A as 21. 20 years old 20 years old Once things accelerate, they are no longer in the inertial reference frame.
General Relativity deals with accelerated reference frames.<br>
slide16. General Relativity<br>
slide17. Adding Velocities v1 v2<br>
slide18. Equations to Know<br>