Calculating Alpha Particle Velocity from Initial Nucleus Motion

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SUMMARY

The discussion focuses on calculating the velocity of an alpha particle emitted from a moving nucleus. An initial nucleus moves at 500 m/s and, after emitting an alpha particle with a mass of 4.0 u, the remaining nucleus moves at 450 m/s. Using the conservation of momentum principle, the alpha particle's velocity can be determined through the equation: (initial momentum) = (final momentum of nucleus + momentum of alpha particle). This leads to the conclusion that the alpha particle's speed upon emission is 550 m/s.

PREREQUISITES
  • Understanding of conservation of momentum
  • Familiarity with kinematic equations of motion
  • Basic knowledge of mass-energy equivalence
  • Proficiency in algebraic manipulation of equations
NEXT STEPS
  • Study the conservation of momentum in particle physics
  • Learn about kinematic equations for one-dimensional motion
  • Explore energy balance equations in nuclear reactions
  • Investigate the properties of alpha particles and their interactions
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This discussion is beneficial for physics students, educators, and anyone interested in nuclear physics and particle dynamics.

Elvis
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CAN ANYONE HELP ME ?

An automatic nucleus initially moving at 500 m/s emits an alpha particle in the direction of its velocity, and the new nucleus shows to 450 m/s. If the alpha particle has a mass of 4.0 u and the original nucleus has a mass of 222 u, what speed does the alpha particle have when it is emmited ?
 
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Elvis, you must show your own work and attempt at a solution before we can help you with homework/coursework problems (see the "Rules" link at the top of the page).

What are the kinematic equations of motion that you will use to solve these problems? What energy balance equations can also be of help?
 

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