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Estimate the maximum kinetic energy given to the target nucleus when 6.7 MeV alpha particles are...

Estimate the maximum kinetic energy given to the target nucleus when 6.7 MeV alpha particles are incident on a lead foil. (Assume that the light alpha particle rebounds from the massive lead nucleus with a final momentum that is in magnitude nearly equal to its initial momentum.)

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Answer #1

The conservation of momentum for the collision when the target is initially at rest is given by:

if the alpha particle's final momentum mangnitude is equal to the initial then we can write:

Introducing the KE of the particles we get:

Taking the amu of the alpha particle 4 and the amu of lead atom 207.2 then:

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