Equation Needed to Figure Resulting Kinetic Energy and Velocities from Fusion

Click For Summary
SUMMARY

The discussion focuses on calculating the resulting velocities and kinetic energies of particles from a fusion reaction involving Deuterium nuclei. The conservation of momentum is identified as a key principle, as kinetic energy is not conserved in inelastic reactions. The total energy equation, E = √(p²c² + m²c⁴), is suggested as a method to determine the necessary velocities. Participants recommend looking up the rest masses of Helium-3 and the neutron for accurate calculations.

PREREQUISITES
  • Understanding of conservation of momentum in physics
  • Familiarity with inelastic collisions and their properties
  • Knowledge of relativistic energy equations
  • Basic concepts of nuclear fusion and particle physics
NEXT STEPS
  • Research the total energy equation in relativistic physics
  • Learn how to calculate rest mass energies for particles like Helium-3 and neutrons
  • Study the application of conservation laws in nuclear reactions
  • Explore detailed examples of kinetic energy calculations in fusion processes
USEFUL FOR

Physics students, nuclear engineers, and researchers in particle physics seeking to understand the dynamics of fusion reactions and energy calculations.

PHYSICS!!!:-)
Messages
13
Reaction score
0
Equation Needed to Figure Resulting Kinetic Energy and Velocities from Fusion...

Homework Statement



Hey,
I am have the initial velocities and masses of nuclei involved in fusion, and am trying to figure out the resulting velocities and kinetic energies. Since this is an inelastic reaction, i can't use Kinetic energy, as it is not conserved. I have the conservation of momentum to use, because it is conserved, but to use it I still need to find velocity. What could i use to find this? Also, if you could clarify how to find the kinetic energies for each resulting particle, it would be greatly appreciated!


Homework Equations



Deuterium+Deuterium--> Helium-3 + neutron
each deuteron has K.E. of 69.91 KeV, and a velocity of 2.59 x 10^6 m/s

The Attempt at a Solution


I have already decided that the Law of Conservation of Momentum would be a good equation to use, but i still need an equation to get velocity.


Note: This is not a Homework question, per se. It was simply moved here.
 
Physics news on Phys.org


Well... the total energy E = \sqrt{p^2 c^2 + m^2 c^4} is conserved, you should be able to use that. You'll probably need to look up the rest masses of helium-3 and of the neutron but I don't think they'd be hard to find online.
 

Similar threads

  • · Replies 30 ·
2
Replies
30
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 20 ·
Replies
20
Views
9K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 16 ·
Replies
16
Views
7K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 10 ·
Replies
10
Views
6K
  • · Replies 6 ·
Replies
6
Views
2K