Monday, October 10, 2011

Relavitity problems

1. What are the Lorenz factors for velocity values of:
a. 0.1 c
b. 0.9 c
c. 0.99 c

2. Consider two twins, Spacey and Stacey. Spacey travels at 0.9 c to a planet (Planet Lally!) that is (measured before travel) 6 LY (light-years, or c-years) away. Stacey stays home. Spacey travels to the planet and quickly turns around once arriving. Find the following:
a. how much Stacey ages during the trip
b. how much Spacey ages during the trip
c. the odometer reading on Spacey's spaceship upon arriving at Planet Lally

3. In the problem above, the spaceship is measured to be 100-m long before flight. How long does it appear to:
a. those aboard it
b. those viewing it from Earth

4. Consider a group of pi-mesons (pions) traveling at 0.8 c. In the lab, the lifetime is measured to be 3 x 10^-8 seconds with no travel. How "old" can the pions become traveling at 0.8 c? How long a distance could they traverse?

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