Concept #1: Time Dilation
Example #1: Time Dilation for a Muon from the Atmosphere
Practice: 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 8 m/s.
Concept #2: Length Contraction
Example #2: Length Contraction for a Muon from the Atmosphere
Practice: 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?
Concept #3: Proper Frames and Measurements