Calculating Alpha Particle Velocity from Initial Nucleus Motion

[Elvis]

CAN ANYONE HELP ME ?

An automatic nucleus initially moving at 500 m/s emits an alpha particle in the direction of its velocity, and the new nucleus shows to 450 m/s. If the alpha particle has a mass of 4.0 u and the original nucleus has a mass of 222 u, what speed does the alpha particle have when it is emmited ?

 

[berkeman]

Elvis, you must show your own work and attempt at a solution before we can help you with homework/coursework problems (see the "Rules" link at the top of the page).

What are the kinematic equations of motion that you will use to solve these problems? What energy balance equations can also be of help?