Conservation of momentum and energy

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SUMMARY

The discussion centers on the conservation of momentum and energy in a nuclear fragmentation scenario. When a nucleus at rest splits into two fragments of unequal mass, the fragment with the smaller mass possesses a greater speed and kinetic energy. The correct answer to the posed question is option D, which states that the smaller mass has both higher speed and kinetic energy. This conclusion is derived from the principles of momentum conservation and the relationship between momentum and kinetic energy, specifically the equation p = sqrt(2mE).

PREREQUISITES
  • Understanding of conservation of momentum principles
  • Knowledge of kinetic energy calculations
  • Familiarity with the relationship between momentum and kinetic energy
  • Basic physics concepts related to mass and speed
NEXT STEPS
  • Study the principles of momentum conservation in different physical systems
  • Explore kinetic energy formulas and their applications in physics
  • Learn about the implications of mass differences in momentum and energy calculations
  • Investigate real-world examples of nuclear fragmentation and its effects
USEFUL FOR

Students studying physics, educators teaching momentum and energy concepts, and anyone interested in the dynamics of nuclear reactions.

karis
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Homework Statement



A nucleus originally at rest splits into two fragments of unequal mass. The fragment with smaller mass has a larger
1.momentum
2.speed
3.Kinetic energy

A. 1only
B. 3only
C. 1&2 only
D. 2&3 only
E. 1,2 &3

The Attempt at a Solution


well, i can figure out the speed of the smaller mass will be larger, but how about the momentum and the kinetic energy?
in what way can i determine if they will be larger or not?

The ans is D
Thank You=)
 
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Hi karis, wecome to PF.

Since originally the nucleus is at rest, after splitting two fragments must have equal and opposite momentum, irrespective of their unequal masses.
Hence smaller mass must have...speed.
The relation between momentum and kinetic energy can be written as
p = sqrt(2mE) where E is KE.
Since p is the same for both the fragments,
smaller mass will have ...KE.
 
Thank you very much:)
 

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