A particle has a known (at rest) decay time of T = 10 seconds*. What would be the decay time (in seconds) as observed in a laboratory if it is seen moving at v = 0.5c? The decay timer of a particle is on average how long a particle would live, and is closely related to its half-life time. For this problem just think of it as an internal clock in the particle, which can be observed in the laboratory by looking at how long the particle travels before it disappears/decays into other particles or pure energy.

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question 2
A particle has a known (at rest) decay time of T = 10 seconds*. What would be the decay time (in seconds) as observed in a laboratory if it is seen moving at v =
0.5c?
The decay time T of a particle is on average how long a particle would live, and is closely related to its half-life time. For this problem just think of it as an internal
clock in the particle, which can be observed in the laboratory by looking at how long the particle travels before it disappears/decays into other particles or pure
energy.
Question 3
What would be the distance traveled (before it decays) by the particle in the above problem as observed in the laboratory (at rest frame)?
Give your answer in units of Gm (Giga meters)
Question 4
What would be the distance traveled by the particle in the above two problems as observed in the reference frame of the particle?
Give your answer in units of Gm (Giga meters)
Transcribed Image Text:Question 2 A particle has a known (at rest) decay time of T = 10 seconds*. What would be the decay time (in seconds) as observed in a laboratory if it is seen moving at v = 0.5c? The decay time T of a particle is on average how long a particle would live, and is closely related to its half-life time. For this problem just think of it as an internal clock in the particle, which can be observed in the laboratory by looking at how long the particle travels before it disappears/decays into other particles or pure energy. Question 3 What would be the distance traveled (before it decays) by the particle in the above problem as observed in the laboratory (at rest frame)? Give your answer in units of Gm (Giga meters) Question 4 What would be the distance traveled by the particle in the above two problems as observed in the reference frame of the particle? Give your answer in units of Gm (Giga meters)
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