Direction of alpha particles/protons from isotope decay

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Homework Statement


A stationary B nucleus decays into two alpha particles and a proton, and the speed of the proton is found to be 6.0x10^6 m/s. What is the magnitude and direction of the velocities of the alpha particles with respect to the proton?

Homework Equations


Unnecessary

The Attempt at a Solution



Velocity has been found... what would the direction be? I was thinking opposite of the proton because they both have a positive charge but there is TWO alpha particles instead of one so wouldn't they be deflected at some angle instead of directly in front or behind the proton?[/B]
 

Answers and Replies

  • #2
haruspex
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Homework Statement


A stationary B nucleus decays into two alpha particles and a proton, and the speed of the proton is found to be 6.0x10^6 m/s. What is the magnitude and direction of the velocities of the alpha particles with respect to the proton?

Homework Equations


Unnecessary

The Attempt at a Solution



Velocity has been found... what would the direction be? I was thinking opposite of the proton because they both have a positive charge but there is TWO alpha particles instead of one so wouldn't they be deflected at some angle instead of directly in front or behind the proton?[/B]
Just guessing here...
Suppose the particles leave with angle θ between the proton's path and that of each alpha particle, and the shape of the triangle they form is stable. I.e. their accelerations, velocities and distance moved stay in a fixed ratio. You have two unknowns, θ and that ratio. Considering the forces between them, you may be able to determine both.
 
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Using your guess... in this case do you think it would be okay to do the arctan of the alpha particles velocity over the protons velocity for theta? Theta would be the same for each alpha particle.
 
  • #4
haruspex
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Using your guess... in this case do you think it would be okay to do the arctan of the alpha particles velocity over the protons velocity for theta? Theta would be the same for each alpha particle.
Consider momentum conservation.
 

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