Max Energy of Electron After Collision with Particle: 5.0 MeV Alpha

In summary, the problem is asking to show, using basic physics principles, that the maximum energy of an electron after colliding with a nonrelativistic particle of mass M and kinetic energy E0 is E0(4m/M). The solution involves making v the subject of the kinetic energy equation and then substituting it into the momentum equation.
  • #1
Zit501
5
0

Homework Statement



A particle (nonrelativistic) of mass M and with kinetic energy E0 collides with an
electron at rest of mass m. Show from elementary considerations (i.e. rst year
physics) that the maximum energy of the electron after the collision is E0(4m/M).
Determine this energy for a 5.0 MeV alpha particle.


Homework Equations



E = 1/2 m V2

Pin = Pout


The Attempt at a Solution



I made v the subject of the formula in the kinetic energy equation. Then subbing this into the momentum equation just seems like a big mess. Where else should I start? or am I on the right track?

Thanks!
 
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  • #2
Hi Zit501! :wink:
Zit501 said:
I made v the subject of the formula in the kinetic energy equation. Then subbing this into the momentum equation just seems like a big mess. Where else should I start? or am I on the right track?

Should work …

show us what equations you get :smile:
 

What is the maximum energy of an electron after colliding with a 5.0 MeV alpha particle?

The maximum energy of an electron after colliding with a 5.0 MeV alpha particle is dependent on the initial kinetic energy of the electron and the mass of the alpha particle.

How is the maximum energy of an electron calculated after colliding with a 5.0 MeV alpha particle?

The maximum energy of an electron is calculated using the conservation of energy and momentum equations. The initial kinetic energy of the electron and the mass of the alpha particle are taken into account in the calculation.

What is the significance of a 5.0 MeV alpha particle in the collision with an electron?

A 5.0 MeV alpha particle is a high energy particle that can cause significant collisions with other particles. In the collision with an electron, it can transfer a large amount of energy, resulting in an increase in the electron's kinetic energy.

Can the maximum energy of an electron after colliding with a 5.0 MeV alpha particle ever be greater than 5.0 MeV?

No, the maximum energy of the electron after colliding with a 5.0 MeV alpha particle cannot be greater than 5.0 MeV. This is because energy is conserved in the collision and the alpha particle has a fixed energy of 5.0 MeV.

How does the mass of the alpha particle affect the maximum energy of the electron after collision?

The mass of the alpha particle directly affects the maximum energy of the electron after collision. A heavier alpha particle will result in a greater transfer of energy to the electron, resulting in a higher maximum energy for the electron.

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