A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives 1.40 * 10-16s as measured in the laboratory, and 0.840 * 10-¹6s when at rest relative to an observer. a) What is its velocity relative to the laboratory? b) What is kinetic eneryu of the meson? (meson has a rest mass of 135.0 MeV/c²)
A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives 1.40 * 10-16s as measured in the laboratory, and 0.840 * 10-¹6s when at rest relative to an observer. a) What is its velocity relative to the laboratory? b) What is kinetic eneryu of the meson? (meson has a rest mass of 135.0 MeV/c²)
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A neutral π -meson is a particle that can be created by accelerator beams. If one such particle lives 1.40 x 10^-16s as measured in the laboratory, and 0.840 x 10^-16s when at rest relative to an observer.
a) What is its velocity relative to the laboratory?
b) What is kinetic eneryu of the meson? (meson has a rest mass of 135.0 MeV/c2 )
Transcribed Image Text:## Understanding the Dynamics of Neutral π-Mesons
A neutral π-meson is a particle that can be created by accelerator beams. In an experiment, one such particle is observed to have a lifetime of \(1.40 \times 10^{-16}\) seconds as measured in the laboratory. When at rest relative to an observer, its lifetime is \(0.840 \times 10^{-16}\) seconds.
### Problems
**a) What is its velocity relative to the laboratory?**
**b) What is the kinetic energy of the meson?**
The meson has a rest mass of \(135.0 \, \text{MeV}/c^2\).
### Explanation
In question a, you need to determine the velocity of the meson using the concepts of time dilation from Special Relativity, where the time it is observed living in the lab frame is longer due to its high speed.
In question b, you need to calculate the kinetic energy of the meson, applying the rest mass energy equivalence formula and determining any additional energy due to its movement.
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