Question

After being created in a high-energy particle accelerator, a pi meson at rest has an average lifetime of 2.60 10-8 s. Traveling at a speed very close to the speed of light, a pi meson travels a distance of 148 m before decaying. How fast is it moving? (Enter your answer to four significant figures.)

Answer #1

An unstable high-energy particle is created in the laboratory,
and it moves at a speed of 0.993c. Relative to a stationary
reference frame fixed to the laboratory, the particle travels a
distance of 1.64 × 10-3 m before disintegrating. What is (a) the
proper distance and (b) the distance measured by a hypothetical
person traveling with the particle? Determine the particle's (c)
proper lifetime and (d) its dilated lifetime. Limit your answer to
3 significant digits.

A lab worker is watching a bunch of particles zing through her
particle accelerator. She observes one particle that's moving at
61% of the speed of light for its whole life, and she sees that it
travels a certain distance before decaying.
How fast would a second particle need to be traveling for its
entire life if the lab worker is to see this second particle travel
twice as far as the first? Assume all particles in this problem
would...

An unstable high-energy particle is created in the laboratory,
and it moves at a speed of 0.989c. Relative to a stationary
reference frame fixed to the laboratory, the particle travels a
distance of 3.16 × 10-3 m before disintegrating. What is (a) the
proper distance and (b) the distance measured by a hypothetical
person traveling with the particle? Determine the particle's (c)
proper lifetime and (d) its dilated lifetime.

A particle X at rest is a cube of rest-mass m and side L and has
a proper lifetime τ. If the particle is moving with speed √3c/2
with respect to the lab frame (c is the speed of light): Determine
a) The total energy of the particle in the lab frame. b) The
average distance the particle travels in the lab before decaying.
c) Sketch the shape and dimensions of the particle when viewed
perpendicular to its motion in...

Mass of a Moving Particle The mass m of a particle moving at a
velocity v is related to its rest mass m0 by the equation m = m0 1
− v2 c2 where c (2.98 ✕ 108 m/s) is the speed of light. Suppose an
electron of rest mass 9.11 ✕ 10−31 kg is being accelerated in a
particle accelerator. When its velocity is 2.84 ✕ 108 m/s and its
acceleration is 2.49 ✕ 105 m/s2, how fast is...

A particle is traveling with respect to an observer such that
its Einsteinian energy is 2.32 times its rest energy. How fast is
it moving with respect to the observer? Answer in units of the
speed of light, and to three decimal places, for example if the
answer is 0.123 c report 0.123.

The Large Electron-Positron Collider (LEP) was an accelerator at
CERN, the International particle physics laboratory in Europe. As
its name implies, at LEP electrons (e- with mass of 0.51
MeV/c2) were collided close to head-on with their anti-particle,
positrons (e+ with the same mass). Each of these
particles was accelerated to an energy of 104.5 GeV by the time
they collided.
What is the Lorentz factor $\gamma$ of an electron at this
energy?
How fast as a fraction of the...

A muon is a type of unstable subatomic particle. When high-speed
particles from outer space (sometimes called "cosmic rays") collide
with atoms in the upper atmosphere, they can create muons which
travel toward the Earth. Suppose a muon created in the atmosphere
travels at a speed of 0.941c toward the Earth's surface for a
distance of 3.48 km, as measured by a stationary observer on Earth,
before decaying into other particles.
(a) As measured by the stationary observer on Earth,...

A particle has rest energy 1872 MeV and mean lifetime 8.2 ×
10−11 s. It is created and decays in a particle track detector. It
leaves a track 35 mm long.
(a) What is the
(i) speed of the particle in terms of c?
(ii) momentum of the particle?
(b) How much energy is needed to produce the particle?
(c) Is the particle massless? Justify your answer.
(d) Supported by evidence, give your arguments to the beliefs
that the
(i)...

A pion is an unstable particle which decays into a muon (which
is also unstable and further decays into an electron). The pion’s
average lifetime when it is at rest is 26 ns. If the pion moves
with a speed of 0.9819 c, what is (a) its average lifetime (ns) as
measured by an observer on Earth and (b) the average distance (m)
it travels before decaying as measured by an observer on Earth? (c)
What average distance (m) would...

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