Chapter 28, Problem 57PE

### College Physics

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

Chapter
Section

### College Physics

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

# What is the kinetic energy in MeV of a π -meson that lives 1.40 × 10 − 16 s as measured in the laboratory, and 0.840 × 10 − 16 s when at rest relative to an observer, given that its rest energy is 135 MeV?

To determine

The kinetic energy.

Explanation

Given data:

Time dilation Ï€âˆ’Mesonis Î”t=1.40Ã—10âˆ’16â€‰s

Time Î”t0=0.840Ã—10âˆ’16â€‰s.

Formula used:

The equation for time dilation is,

â€ƒâ€ƒÎ”t=Î³Î”t0Î³=Î”tÎ”t0â€ƒâ€ƒâ€ƒâ€ƒ...... (1)

The relativistic kinetic energy is,

â€ƒâ€ƒK.Erel=(Î³âˆ’1)mc2â€ƒâ€ƒâ€ƒâ€ƒ

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