Loading...

PPT – Relativity PowerPoint presentation | free to download - id: 403e1-ODMwZ

The Adobe Flash plugin is needed to view this content

View by Category

Presentations

Products
Sold on our sister site CrystalGraphics.com

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Relativity

Special vs. General Relativity

- Special Relativity deals with non-accelerated

motion. Objects moving at a constant speed

relative to something else. - General Relativity deals with accelerated motion

and how it relates to observed gravity

Relative Motion

- Standard velocity addition
- Ex A friend throws a ball at 5 m/s toward you

from a vehicle moving 5 m/s toward you. - Ex If the vehicle were moving 5 m/s away from

you? - Video.
- Definition of a Frame of Reference Area in which

objects are at rest relative to each other.

Michelson-Morely Experiment

- Purpose Detect relative motion between the

Earth and the ether by detecting changes in the

speed of a light wave. - Demo Interferometer Experiment
- Outcome
- Possible conclusions?

Special Relativity

- First Postulate The laws of physics are the same

in all frames of reference. - Second Postulate Speed of Light is always

measured to be the same (3x108 m/s). Its

independent of the motion between observer and

the source.

Simultaneity

- Events that occur simultaneously in one reference

frame will not appear simultaneous in another

reference frame - When moving toward an event at high speed,

light from that event will reach you first.

Time Dilation

- Time Dilation Equation
- Derivation
- T T / v(1-v2/c2)
- Exs
- A space explorer goes on a high speed trip for 1

year at 99 the speed of light. How much time

passes by here on earth? - Evidence?
- Muon Decay, Atomic Clocks on airplanes, GPS

Examples of Time Dilation (?)

Practice Question

- Your parents go on a 6 month (.5 yr) space cruise

at a speed of 99.99 the speed of light. - How old will you be when they return?
- How will they be when they return?

Twin Trip

- If one twin travels at a high speed away from

earth and then returns. The traveled twin will

now be younger than a stay at home twin. - Twin Trip Simulation Web Site

Changes to Length and Mass

- Length of object will contract as observed from a

different reference frame. - L L x v(1-v2/c2)
- Mass will increase as well as observed from a

different reference frame. - M M / v(1-v2/c2)
- Mechanical Universe Video 42 Lorentz

Contraction

Energy Mass Equivalence

- Since nothing can go faster than the speed of

Light, then the energy transferred to a moving

object must increase the objects mass. - KE 1/2 m v2 , if v cant exceed c, then

energy must end up transferred to the mass - Evidence
- electrons in a accelerators and cyclotrons become

heavier as their speed increases. - Nuclear reactions
- E m c2
- Ex 1 kg is converted into how much energy?

Practice Questions

- A passenger on a rocket traveling at 98 the

speed of light says that his trip takes 5 days.

How long does it take from an outside reference

frame? - A meter stick (1 m) is contracted to 20 cm as

observed from an outside reference frame. How

fast is the meter stick going? - An object is lifted up so that it has 1000 Joules

of PE. How much mass is this PE equivalent to? - What evidence is there that supports Einsteins

theory of Special Relativity? - According to Special Relativity, why cant any

material object go faster than the speed of light?

General Relativity

- Principal of Equivalence (Animation)
- Observations made in an accelerating reference

frame are indistinguishable from those made in a

gravitational field. - Exs light falling in a rocket ship
- How far would light fall in one second here on

earth? - Space-Time
- We can replace our notion of Gravity with the

idea that mass warps space and time and all

objects follow the law of inertia

(4-Dimensionally) - http//www.ligo.caltech.edu/LIGO_web/aaas0203/curv

ature_lan.ram

3 Tests of General Relativity

- Perihelion shift of Mercurys orbit.
- Newtons Law of Gravitation and Keplers Laws

failed to explain why Mercurys elliptical orbit

rotated as observed. - Einsteins General Relativity accurately predicts

this shift to within 0.1 error. Not Bad!! - Light from a distant star should be bent by the

suns gravitational field - Tested and verified by Eddington in 1919
- Heavily publicized and made Einstein famous
- Gravitational Redshift
- Clocks in a stronger gravitational field should

run slower than in a weaker field. - Verified in 1960 with atomic clocks between the

top and bottom floors at a building at Harvard. - Re-verified in 1976 and confirmed Relativity

predictions to within 0.02! WOW!!

Gravitational Redshift

- Spinning Turntable Example
- Observers looking at clocks in a stronger

gravitational field will notices those clocks

running slower. - Ex If we could look at a clock near the sun

we would see it run slow. - Observers looking at clocks in a weaker

gravitational field will notice those clocks

running faster. - Ex Look at a clock that is on the moon it

will run faster. - Where do we age the fastest, on top of

skyscrapers or at street level? - Black hole effects?

Other Consequences of Gen. Relativity

- Black Holes
- Extremely dense objects will bend space-time to a

point of infinite curvature. - Radius of a Black Hole 2 GM/c2
- For our sun radius 2,900 m
- For earth (M 6 x 1024 kg) r ?
- Gravitational Waves or 2
- Accelerating masses should produce waves in

space-time. Two stars (or pulsars) rotating

around each other (or Binary pulsar) should emit

waves large enough to detect. - LIGO or LIGO

Misc.

- Thinking in 4-D is TOUGH!!
- Calculations using General Relativity require the

use of 4-D descriptors and operators known as

Tensors (kinda like matrices) - Gab (8pG)Tab !!
- In other words The rate at which a small ball of

freely falling test particles begins to shrink is

proportional to its volume times the energy

density at the center of the ball, plus the

pressure in the x direction at that point, plus

the pressure in the y direction, plus the

pressure in the z direction. - Therefore most illustrations and examples are

simplified to 2-D or 3-D - http//archive.ncsa.uiuc.edu/Cyberia/NumRel/Movies

Edge.htmlWormHolesToWhere?

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Presentation Removal Request Contact Us Send Us Feedback

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Relativity" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!