A point source isotropically emitting 10^8 fast nuetrons

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SUMMARY

The discussion centers on calculating the fluence of fast neutrons emitted from a point source releasing 108 neutrons per second, located 3 meters horizontally from a railroad track. The scenario involves a train traveling at 60 mph, and the goal is to determine the neutron fluence impacting a passenger at the same height as the source. The relevant equation for fluence, defined as dN/da, is highlighted, and the user attempts to derive the distance to the train as a function of time and velocity, indicating a need for integration over time.

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  • Understanding of neutron fluence and its calculation
  • Familiarity with kinematic equations and motion
  • Basic knowledge of integration techniques in physics
  • Concept of isotropic emission in radiation physics
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  • Learn about kinematic equations related to moving objects
  • Explore integration techniques for time-dependent functions
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Physics students, radiation safety professionals, and anyone involved in neutron transport calculations will benefit from this discussion.

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Homework Statement


A point source isotropically emitting 10^8 fast nuetrons per second falls out of its shield onto a railroad platform 3 m horizontally from the track. A train goes by at 60 mph. Ignoring scattering and attenuation, what is the fluence of nuetrons that would strike a passenger at the same height above the track as the source?

2. Relevant equation
Fluence=dN/da

The Attempt at a Solution


I know you need to write the distance to the train as a function of velocity and time. This can be done by having r^2=9+v^2*t^2. If the person in exactly across from the point source at t=0. I know I need to integrate this equation over some dt from -infinity to infinity but I'm confused as to what integral this goes into.
 
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Maybe you can consider the passenger moving radially away from the point source?
 

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