Calculating Alpha Particle Velocity from Initial Nucleus Motion

AI Thread Summary
To calculate the velocity of the emitted alpha particle, the conservation of momentum principle must be applied. The initial momentum of the system is the product of the original nucleus's mass and its initial velocity. After emission, the total momentum is the sum of the new nucleus's momentum and the alpha particle's momentum. Kinematic equations and energy balance equations can aid in solving for the alpha particle's speed. A detailed attempt at the solution is required for further assistance.
Elvis
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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 ?
 
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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?
 
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