Answer:
[tex]P_{x}=-3.1562 g*m/s[/tex]
[tex]P_{y}= 0.1634 g*m/s[/tex]
Step-by-step explanation:
The x-component and y-component of the total momentum is given by:
[tex]P_{x}=m_{1}v_{x1}+m_{2}v_{x2} + m_{3}v_{x3}+m_{4}v_{x4}\\P_{y}=m_{1}v_{y1}+m_{2}v_{y2} + m_{3}v_{y3}+m_{4}v_{y4}\\[/tex]
Substituting values:
[tex]P_{x}=14.5g(0.127m/s) + 18.3g(-0.781m/s) + 13.3g(0.867m/s)+10.5g(-0.213m/s)\\P_{x}=-3.1562 g*m/s[/tex]
[tex]P_{y}=14.5g(-0.907m/s) + 18.3g(-0.103m/s) + 13.3g(0.471m/s)+10.5g(0.851m/s)\\P_{y}= 0.1634 g*m/s[/tex]