A particle is propagating at relativistic speed. It is observed to have an energy of 3.1 GeV and a momentum of 7.34E-19 kg.m/s. Determine the mass of that particle, expressed in units of 1E-27kg and keeping three significant digits. (So if the mass was 7E-27kg, you would enter 7).

Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has a velocity v= 0.980c. The muon then travels at constant velocity and lives 1.52 us as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock. See the figure below. Enter your answers to at least four significant figures. Assume the speed of light is 2.998 x 108 m/s.) اد us At (a) How long (in us) would the muon have lived as observed on the Earth if its velocity was 0.0690c? (b) How far (in m) would it have traveled as observed on the Earth? (c) What distance (in m) is this in the muon's frame?

measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer? 3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 108m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? 4. A computer in a laboratory requires 2.50 us to make a certain calcu- lation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same cal- culation take? 5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as V1-v²/c² 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? 6. If an electron is speeding down the two-mile-long Stanford Linear Accelerator at 99.98 percent the speed of light,…

A particle has a mass of 6.4E-27kg and a momentum of 3.5E-18 kg.m/s.  Determine the energy of that particle in GeV (1GeV=1E9 eV).  Keep three significant digits.