Assignment:
This solution shows how to develop the algebra to determine the velocity of a nuclear particle fragment resulting from the fragmention of a nuclear particle into two fragments. An example is shown whereby a particle initially at rest fragments into two fragments one of mass (m1) = 1.67 x E-27 Kg. and velocity of (v1) = 0.8c, the other with a mass (m2) = 5.01 x E-27 Kg. The problem asks to determine the unknown velocity (v2) of the second fragment. Special Relativity is considered for this case (since v1~c) and relativistics mechanics and the conservation of linear momentum taken into consideration to determine a general equation to solve for v2.
The particular conditions as set out in the example problem are the used to determine the velocity of the second fragment. The algebra is set out step by step and the logical steps are identified.
Provide complete and step by step solution for the question, use formulas.