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1) What is the lifetime of a muon to the nearest tenth of a microsecond measured in a laboratory if it is traveling at *c with respect to the laboratory, where c is the speed of light? The mean life at rest for a muon is 2.2x10-6 s.

2) The nearest star to Earth is at a distance of 4.3 light-years away. At what constant velocity v (in units of c - the velocity of light- to three decimal places) must a spaceship travel from Earth if it is to reach the star in years, as measured by travelers in the spaceship?

3) An elementary particle has a lifetime in its rest frame of only 1 ns. If this particle is produced in a frame of reference moving relative to the observers frame at a velocity *c, what is its measured lifetime to the nearest hundredth of a ns?

4) Amy Mororless is attempting to measure the length of a 100 m (rest frame) space ship coming toward her at *c. What length does she measure to the nearest tenth of a meter?

5) What is the momentum to the nearest kg*m/s of a 0.020 kg object travelling at percent of the speed of light? (Use scientific notation to 2 decimal places, i.e., 12345 would be 1.23e4)

6) What is the energy to the nearest GJ of the object in the preceeding problem?

7) What is the speed (as a fraction of the speed of light to 4 decimal places) of a particle for its energy to be times its energy when it is at rest?

8) What is the speed (as a fraction of the speed of light to 4 decimal places) of the particle if its kinetic energy is equal to times its energy when at rest?

9) What is the energy (to the nearest GJ) of a kg particle when it is at rest?

10) A spaceship travelling at you at tenths the speed of light fires a projectile directly at you with a speed relative to the space ship of 0.8c, how fast do you see the projectile approaching (as a fraction of the speed of light to 2 decimal places) ?