Kinetic energy of alpha particle during decay

[senan]

Homework Statement

Show that kinetic energy acquired by an alpha particle during an alpha decay is

T_alpha=Q/[1+[m_aplha/m_D]

Homework Equations

Q=[m_P-m_D-m_alpha]c^2

The Attempt at a Solution

Q is the release of energy which is acquired by the daughter nucleus and the alpha particle in the form of KE. I'm just not sure how to determine the KE will be split between the two

 

[Fightfish]

Apply conservation of energy in conjunction with conservation of momentum. This will lead to a unique solution for the kinetic energy possessed by each particle.