Calculating Strong Force on a Captured Neutron in a Nuclear Reactor

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SUMMARY

The discussion focuses on calculating the strong force acting on a neutron captured by a nucleus in a nuclear reactor. Given a neutron with an initial speed of 1.7 x 107 m/s and a nucleus diameter of 1.3 x 10-14 m, the strong force must bring the neutron to a stop within this distance. Using the formula F=ma, where the mass of the neutron is 1.67 x 10-27 kg, participants are guided to determine the magnitude of the force required for this deceleration.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Basic knowledge of kinematics, specifically average velocity
  • Familiarity with the concept of strong force in nuclear physics
  • Ability to perform calculations involving scientific notation
NEXT STEPS
  • Calculate the deceleration required to stop the neutron using kinematic equations
  • Explore the implications of strong force in nuclear stability
  • Learn about neutron capture processes in nuclear reactors
  • Investigate the role of strong force in particle physics
USEFUL FOR

This discussion is beneficial for physics students, nuclear engineers, and anyone interested in the dynamics of particle interactions within atomic nuclei.

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Homework Statement


A nucleus that captures a stray neutron [in a nuclear reactor, for example] must bring the neutron to a stop within the diameter of the nucleus by means of the strong force.That force, which "glues" the nucleus together, is approximately zero outside the nucleus. Suppose that a stray neutron with an initial speed of 1.7 x 107 m/s is just barely captured by a nucleus with a diameter of 1.3 x 10-14 m. Assuming the strong force on the neutron is constant, find the magnitude of that force. (The neutron's mass is 1.67x10-27 kg.)




Homework Equations



F=ma

[HINT: When the acceleration is constant, the velocity changes from vi to vf during some time interval. The average velocity over that interval is (vi + vf)/2.]


The Attempt at a Solution



I have NO idea where to begin...any pointers?
 
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assume the force only acts over the distance of the nucleus
 

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