36. Special Relativity

Consequences of Relativity

Length Contraction and Time Dilation | Special Relativity Ch. 5

Proper Frames and Measurements

Length Contraction for a Muon from the Atmosphere

Anderson Video - Simultaneity and Relativity

Anderson Video - Relativistic Energy

Theory of relativity explained in 7 mins

Anderson Video - Accelerating a Proton Relativistically

 Carol is in the same reference frame with a clock. Bianca is flying past Carol and her clock at a high speed. Bianca sees Carol’s clock ticking at one quarter the rate that Carol sees. How fast is Bianca flying relative to Carol? 

In the following figure, a right triangle is shown in its rest frame, S'. In the lab frame, S, the triangle moves with a speed v. How fast must the triangle move in the lab frame so that it becomes an isosceles triangle?<img src="https://static.studychannel-prd.pearsonprd.tech/courses/physics/thumbnails/images/58cf90fb"alt=""/>

Time Dilation for a Muon from the Atmosphere

Anderson Video - Time Dilation

Time Dilation

The international space station travels in orbit at a speed of 7.67 km/s. If an astronaut and his brother start a stop watch at the same time, on Earth, and then the astronaut spends 6 months on the space station, what is the difference in time on their stopwatches when the astronaut returns to Earth? Note that 6 months is about 1.577 x 107 s, and c = 3 x 10&nbsp;8 m/s.

Neil deGrasse Tyson Explains Time Dilation

Anderson Video - Relativistic Momentum

Anderson Video - Length Contraction Example

Anderson Video - Length Contraction

According to Olive, her new super-speeder space yacht is <math display=“inline”><mrow><mn>60</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">&#x00A0;m</mi></mrow></mrow></math> long. Lennon is on Earth watching Olive approaching at <math display=“inline”><mrow><mn>0.964</mn><mi>c</mi></mrow></math>. How long is Olive’s space yacht according to Lennon?

Length Contraction

Special Relativity Part 3: Length Contraction

 There exists a proper time for these events, but neither Carl nor Rohan measured it. 

 There is no proper time interval for these two events. 

 Carl is standing in a park 1000 m across. Rohan flies over the park at a very high speed, first passing over the east end of the park, and then passing over the west end. Carl and Rohan are discussing the time interval between when Rohan passed over the east end of the park and when he passed over the west end of the park. Who measured the proper time? 

As seen from a distant planet, ships A and B fly toward each other, with ship A having a speed of <math display=“inline”><mrow><mn>0.91</mn><mi>c</mi></mrow></math>. and ship B having a speed of <math display=“inline”><mrow><mn>0.55</mn><mi>c</mi></mrow></math>. According to the pilot of ship A, how fast is ship B approaching?

Anderson Video - Einstein's Velocity Addition Rule

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