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Little drops of water, little grains of sand, make the mighty ocean and the pleasant land. Little minutes, small though they may be, make the mighty ages.

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Presentation on theme: "Little drops of water, little grains of sand, make the mighty ocean and the pleasant land. Little minutes, small though they may be, make the mighty ages."— Presentation transcript:

1 Little drops of water, little grains of sand, make the mighty ocean and the pleasant land. Little minutes, small though they may be, make the mighty ages of eternity.

2 SPECIAL RELATIVITY

3 REFERENCE FRAMES n Inertial reference frame n Galilean relativity n Accelerated reference frames

4 THE SPEED OF LIGHT n Maxwell’s equations –magnetic and electric field symmetry –accelerating/oscillating charges n Michelson-Morley experiment

5 POSTULATES OF SPECIAL RELATIVITY n The postulate of relativity (reference frames) n The speed of light n The problem of simultaneity

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7 RELATIVE MEASUREMENTS n Proper time –single clock at rest

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9 RELATIVE MEASUREMENTS n Time dilation –two synchronized clocks

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11 RELATIVE MEASUREMENTS n Time dilation –the speed parameter –the Lorentz factor –muon experimental confirmation –the twin paradox

12 RELATIVE MEASUREMENTS n Proper length –no time constraints n Length contraction –Simultaneous position measurements n The Lorentz transformations –displacement –time period

13 Relative Measurements n Velocity n Mass –classical momentum –relativistic momentum and mass n Relativistic kinetic energy

14 Relative Measurements n Total energy, momentum, and kinetic energy relationship n Space-time diagrams –vertical lines –horizontal lines


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