33. Muons (u) are produced from the decay of pions (T) that have an average rest frame half-life of 2.6 X 10-8 s and travel at 0.998c in the upper atmosphere. Calculate how far they travel into our atmosphere before decaying.
33. Muons (u) are produced from the decay of pions (T) that have an average rest frame half-life of 2.6 X 10-8 s and travel at 0.998c in the upper atmosphere. Calculate how far they travel into our atmosphere before decaying.
Chapter12: Relativity, Particle Physics, And Cosmology
Section: Chapter Questions
Problem 7Q
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Question 33 please
![on
ritter
nes fly
ring
7].
Start
ound
the
west.
32. A moving stopwatch reads zero as it passes
the origin of a co-ordinate frame at rest. What
time does it read when it passes the 180-m
mark of the rest frame if it travels at 0.7c?
33. Muons (u) are produced from the decay of
pions (T) that have an average rest frame
half-life of 2.6 x 10-8 s and travel at 0.998c in
the upper atmosphere. Calculate how far they
travel into our atmosphere before decaying.
34. In Thought Experiment 2, find the length L
Katrina would measure, if the distance from
Earth to Mars is Lo= 7.83 x 100 m and she
is travelling at a speed of v = 0.25c.
35. Henry is driving his car at 35 m/s to take his
girlfriend to see a movie. He thinks he arrived
on time, but she thinks he is late. Find the dif-
ference in their two times if the distance from
Henry's house to his girlfriend's house is 35 km.
36. A high-speed muon in the CERN storage ring
makes one complete orbit during its lifetime,
which scientists in the lab measure to be
2.8 X 106 s. Find the radius of its orbit. The
muon's average lifetime at rest is 2.2 x 10-6 s.
Fig.13.45 Inside the ring at CERN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b9b21d9-1b9a-40f2-9029-9c47f65d975f%2Ff6653484-1209-4014-9a35-22e36777dda1%2F09hmwqx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:on
ritter
nes fly
ring
7].
Start
ound
the
west.
32. A moving stopwatch reads zero as it passes
the origin of a co-ordinate frame at rest. What
time does it read when it passes the 180-m
mark of the rest frame if it travels at 0.7c?
33. Muons (u) are produced from the decay of
pions (T) that have an average rest frame
half-life of 2.6 x 10-8 s and travel at 0.998c in
the upper atmosphere. Calculate how far they
travel into our atmosphere before decaying.
34. In Thought Experiment 2, find the length L
Katrina would measure, if the distance from
Earth to Mars is Lo= 7.83 x 100 m and she
is travelling at a speed of v = 0.25c.
35. Henry is driving his car at 35 m/s to take his
girlfriend to see a movie. He thinks he arrived
on time, but she thinks he is late. Find the dif-
ference in their two times if the distance from
Henry's house to his girlfriend's house is 35 km.
36. A high-speed muon in the CERN storage ring
makes one complete orbit during its lifetime,
which scientists in the lab measure to be
2.8 X 106 s. Find the radius of its orbit. The
muon's average lifetime at rest is 2.2 x 10-6 s.
Fig.13.45 Inside the ring at CERN
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