Kinetic Energy Calculation for Alpha Particle Emission in Nuclear Reaction

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To calculate the speed of the alpha particle emitted during the nuclear reaction, conservation of momentum is applied. The initial momentum of the system is the product of the original nucleus's mass and its velocity, which is 222 u * 500 m/s. After emission, the momentum is the sum of the new nucleus's momentum (222 u - 4 u) at 450 m/s and the alpha particle's momentum (4 u * v). By setting the initial momentum equal to the final momentum and solving for the alpha particle's velocity, the speed can be determined. This approach effectively utilizes the principles of momentum conservation in nuclear reactions.
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Can Anyone help me, please!

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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