{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture_35

# Lecture_35 - PHYS 342 Fall 2011 Lecture 35 Relativistic...

This preview shows pages 1–6. Sign up to view the full content.

PHYS 342 Fall 2011 Lecture 35: Relativistic Velocity Transformations Ron Reifenberger irck anotechnology Center Birck Nanotechnology Center Purdue University Lecture 35 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
How do velocities transform? ˆ ˆˆ '' ' ' ' ' ' u i u j u k v f S’ x yz uu  ' u y S y’ ? u moving bject x x’ object z z 2
Velocity transformation – along direction of relative motion '' ' f xx v t yy    ' f dx dx v dt dy dy Take differentials ' ' ' f zz vx t ' ' ' f dz dz vd x dt dt 2 tt c  2 c dx v dt x ften 2 ' ' f uv u c u 2 ' ' f x f u x dt c  Often written as   1 f vc ' ' ' fx f f u v v v  2 2 1 ' '1 f x u c c 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Velocity transformation for y and z ( perpendicular to relative motion) ' ' y dy u d x t  ' ' z dz u d x t 2 ' ' f vd dt c dy    2 ' ' f c z 2 ' ' '1 f dx v ' ' f v 2 '' 1 y c uu 2 2 ' 1 ' c 22 1' yy ff x x vv cc  z z x x u u 4
Implications of Lorentz Velocity Transformation 0.80 1.00 nenet ' x x f f uv u v  Select u’=(0.2c)i’ + (0.6c)j’ 40 0.60 ty compo n nits of c) 2 ' 1 ' y y x u u u c u y 0.20 0.40 ,y) veloci t (in un 2 1' ' f

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 12

Lecture_35 - PHYS 342 Fall 2011 Lecture 35 Relativistic...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online