After being produced in a collision between elementary particles, a positive pion ( π + ) must travel down a 1.90-km-long tube to reach an experimental area. A π + particle has an average lifetime (measured in its rest frame) of 2.60 × 10 −8 s; the π + we are considering has this lifetime, (a) How fast must the π + travel if it is not to decay before it reaches the end of the tube? (Since u will be very close to c , write u = (1 − Δ) c and give your answer in terms of Δ rather than u .) (b) The π + has a rest energy of 139.6 MeV. What is the total energy of the π + at the speed calculated in part (a)?
After being produced in a collision between elementary particles, a positive pion ( π + ) must travel down a 1.90-km-long tube to reach an experimental area. A π + particle has an average lifetime (measured in its rest frame) of 2.60 × 10 −8 s; the π + we are considering has this lifetime, (a) How fast must the π + travel if it is not to decay before it reaches the end of the tube? (Since u will be very close to c , write u = (1 − Δ) c and give your answer in terms of Δ rather than u .) (b) The π + has a rest energy of 139.6 MeV. What is the total energy of the π + at the speed calculated in part (a)?
After being produced in a collision between elementary particles, a positive pion (π+) must travel down a 1.90-km-long tube to reach an experimental area. A π+ particle has an average lifetime (measured in its rest frame) of 2.60 × 10−8 s; the π+ we are considering has this lifetime, (a) How fast must the π+ travel if it is not to decay before it reaches the end of the tube? (Since u will be very close to c, write u = (1 − Δ)c and give your answer in terms of Δ rather than u.) (b) The π+ has a rest energy of 139.6 MeV. What is the total energy of the π+ at the speed calculated in part (a)?
After being produced, a neutral pion must travel down a tube that is 100 m long to the experimental area. The pion has a
lifetime T = 2 x 10 8 sec in its rest frame. How fast must the pion travel if it is not to decay before it reaches the end of the
tube? In other words, what is the minimum speed vuin that the pion must have if it is to reach the end of the tube before
decaying? Give your answer to 3 significant figures as a multiple of c, the speed of light.
Formulas.pdf (Click here-->) ,
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,…
Giving your answers to four significant figures, find γ and β = u/c for the followingparticles when their kinetic energy is K = 12.00 MeV:
(a) An electron (m = 0.510998 MeV/c2);(b) A proton (m = 938.272 MeV/c2);(c) a J/Ψ particle (m = 3096.92 MeV/c2).
Chapter 37 Solutions
University Physics with Modern Physics (14th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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