Answer:
[tex]v_{1} = 2.490\,\frac{m}{s}[/tex]
[tex]v_{2} = 0.023\,\frac{m}{s}[/tex]
Explanation:
The statement is described physically by means of the Principle of Momentum Conservation. Let assume that first person moves in the positive direction:
First Person
[tex](65.8\,kg)\cdot (2.51\,\frac{m}{s}) = (65.8\,kg)\cdot v_{1} + (0.0413\,kg)\cdot (32.5\,\frac{m}{s} )[/tex]
Second Person
[tex](0.0413\,kg)\cdot (32.5\,\frac{m}{s})+(58.7\,kg)\cdot (0\,\frac{m}{s})=(0.0413\,kg+58.7\,kg)\cdot v_{2}[/tex]
The final velocities of the two people after the snowball is exchanged is:
[tex]v_{1} = 2.490\,\frac{m}{s}[/tex]
[tex]v_{2} = 0.023\,\frac{m}{s}[/tex]
