COLLEGE PHYSICS
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 1.80×108s.

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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

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