{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Special and General Relativity

# Special and General Relativity - 2nd exam Average = 29/40...

This preview shows pages 1–8. Sign up to view the full content.

2 nd exam Average = 29/40 Approximate scoring for the first two exams (out of 80) >=74 4.0 68-73 3.5 56-67 3.0 48-55 2.5 36-47 2.0 <36 1.5

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

View Full Document
Back to special relativity The special theory of relativity can be summarized with two precepts the laws of physics are the same in all coordinate systems either at rest or moving at constant speed with respect to one another the speed of light in a vacuum has the same value regardless of the velocity of the observer or the velocity of the source emitting the light Some of the consequences are not so intuitive slowing down of clocks lengths contracting masses increasing Plus some visual effects http:// www.youtube.com/ watchv=JQnHTKZ BTI4 all governed by γ Δ t = γΔ t ' γ = 1 1 v 2 c 2 = 1 1 − β 2
Relativistic momentum No object can travel at the speed of light only electromagnetic waves can travel at the speed of light What happens as you keep adding energy and momentum to a particle its speed increases, but only asymptotically towards c but its energy and momentum keep growing formula for momentum (p=mu) not valid for high speeds; it has to be modified p = mu 1 u 2 c 2 = γ p mu u here used for velocity instead of v again depending on γ

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

View Full Document
Relativistic energy E= γ p mc 2 =E o +K =rest energy + kinetic energy Kinetic energy goes to 1/2mu 2 when u<<c γ p mc 2 = mc 2 u 2 c 2 1 + 1 2 u 2 c 2 mc 2 = mc 2 + 1 2 mu 2
Fermilab accelerator The protons and anti- protons are accelerated to an energy of 980 GeV (billion electron-volts) i.e. their total energy is about 1000 times their rest mass energy or γ is about 1000

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

View Full Document
CERN accelerator The proton beams are going to be accelerated to 7 TeV (trillion electron-volts) i.e. their total energy is about 7000 times their rest mass γ is ~7000
Cockroft and Walton Ernest Rutherford Let’s hear it directly from Einstein.

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 / 26

Special and General Relativity - 2nd exam Average = 29/40...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online