. 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?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question 32 and 33 please 

Both planes fly
ever, during
m/h [W].
● Start
4
ground
to the
as 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 10¹0 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 10 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
Transcribed Image Text:Both planes fly ever, during m/h [W]. ● Start 4 ground to the as 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 10¹0 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 10 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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