COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 25, Problem 55QAP
To determine
How fast must a positive pion (an unstable particle) be moving to travel 100 m (according to the laboratory flame) before it has a 50% chance of decaying? The half-life, at rest, of a positive pion is
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•8 o A positive tau (7*, rest energy = 1777 MeV) is moving
with 2200 MeV of kinetic energy in a circular path perpendicular
to a uniform 1.20 T magnetic field. (a) Calculate the momentum of
the tau in kilogram-meters per second. Relativistic effects must be
considered. (b) Find the radius of the circular path.
special relativity
• A) Find the value of y for the following
situation. An astronaut measures the length of
her spaceship to be 25.0 m, while an Earth-
bound observer measures it to be 100 m.
(b) What is unreasonable about this result?
(c) Which assumptions are unreasonable or
inconsistent?
• Solution (a) y = 0.250. (b)It is unreasonable
because the value of y is less than one. This opposed
the idea of length contraction. © It will give imaginary
value. The observer must measure the ship 25m, while
the astronaut measures her ship 100m.
6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper
lifetime).
• If the particle moves with speed 0.95c with respect to the Earth, what is its lifetime as
measured by an observer at rest on Earth?.
• What is the average distance it travels before decaying as measured by an observer at rest
on Earth in cm?
(ii) Let a rod of length Lo makes an angle 0 relative to the í -axis and let it moves with
speed v = 0.8c along the horizontal direction.
• Find the length of the rod as measured by a stationary observer for 0, = 30 and 60
• Find the angle 0 the rod makes with the x -axis in terms of 0o.
Chapter 25 Solutions
COLLEGE PHYSICS
Ch. 25 - Prob. 1QAPCh. 25 - Prob. 2QAPCh. 25 - Prob. 3QAPCh. 25 - Prob. 4QAPCh. 25 - Prob. 5QAPCh. 25 - Prob. 6QAPCh. 25 - Prob. 7QAPCh. 25 - Prob. 8QAPCh. 25 - Prob. 9QAPCh. 25 - Prob. 10QAP
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