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Chapters 15,16 Special Relativity.

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Presentation on theme: "Chapters 15,16 Special Relativity."— Presentation transcript:

1 Chapters 15,16 Special Relativity

2 Space Time Space and Time in Universe, not other way around
Space and Time are connected, we move through them together Mostly at rest, only through time

3 Motion is Relative Walking on a bus, 1km/h to bus, 101 km/h to ground

4 Speed of Light Speed of light a constant, time, space are not
Chicago to LA how long does it take? Wagon train, walk, bike, car, train, jet, rocket, light Moon, Sun

5 Constant Speed of Light?
1st found in 1887 by Michelson/Morley won Nobel prize Demonstrated Experimentally many times since

6 Einstein starting point
1st Postulate - Laws of nature same in all constantly moving frames as at rest 2nd Postulate - Speed of light is constant

7 Results of constant speed of light
Chalk demo Light Clock Space/time = c = SPACE/TIME Always OTHER person seems to be moving slower See graph pg 222

8 Twin Trip Time is different measured on earth and on spaceship!
Start page 224 t = t0/√(1-v2/c2)

9 Length Contraction Objects appear shorter when traveling close to the speed of light Pic pg 233 L = L0 √(1-v2/c2)

10 Momentum Give impulse = more momentum still holds in Einstein's world
Velocity has limit at c. ρ = mv/√(1-v2/c2) Mass must be increasing!!

11 Momentum If adding energy (by impulse) increases mass, mass ~ energy?
E = mc2 ‘Mass is congealed energy’ E = mc2 applies in all energy equations

12 Newton vs. Einstein Correspondence Principle
Einstein’s equations simplify back to Newton’s

13 General Relativity Gravity is caused by curved spacetime
Spacetime gets curved by things with mass Demo


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