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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

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 πMesonis Δt=1.40×1016s

Time Δt0=0.840×1016s.

Formula used:

The equation for time dilation is,

  Δt=γΔt0γ=ΔtΔt0    ...... (1)

The relativistic kinetic energy is,

  K.Erel=(γ1)mc2    

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