1. The lifetime of a certain type of elementary particle is 2.6 x 10^-8 s. If this particle were traveling at 95 percent the speed of light relative to a laboratory observer, what would this observer measure the particle's lifetime to be?

3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 10^8 m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be?

5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as ( radical 1 - v ^2/c ^2 )times the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 95 percent the speed of light?

7. Calculate the rest energy of a proton in joules and MeVs. What is the mass of a proton in MeV/c^2?

9. If a 1.0-kg mass is completely converted into energy, how much energy, in joules, would be released? Compare this value to the amount of energy released when 1.0 kg of liquid water at 08C freezes.

11. A particle of rest energy 140 MeV moves at a sufficiently high speed that its total relativistic energy is 280 MeV. How fast is it traveling?

13. If a proton and an antiproton, both at rest, were to completely annihilate each other, how much energy would be liberated?

15. Spectral measurements of a distant galaxy show it to have a redshift z = 0.2. If the wavelength of an ionized calcium line emitted by the galaxy is 393.3 nm, what is the wavelength of this line as detected on Earth?