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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by you at 0.980c, and it lives 1.24 × 10 8 s when at rest relative to an observer. How long does it live as you observe it?

To determine

A particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by you at

0.98c , and it lives1.24×108 s when at rest relative to an observer. The time it lives as you observe it.

Explanation

Given info:

  v0.98c

  c=3×108 ms1

  Δt01.24×108 s

Formula used:

For time duration for meson view in the laboratory calculation, the relation between time and relativistic factor is

  ΔtγΔt0

Relativistic factor is

  γ11v2c2

Calculation:

Substituting the given values of velocity and speed of light, we get

  γ11(0

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