Answer: 53.06
Explanation: Center of mass is an average of masses factored by their distance from a reference point. To determine the center of mass, it can be used the following formula: x = [tex]\frac{m_{1}x_{1} + m_{2} x_{2} + ... }{m_{1} + m_{2} + ...}[/tex]
For this question: The system is of two people and the reference is (0,0)
The center of mass for the x-coordinate is:
Note the terms 'i' and 'j' represents x-coordinate and y-coordinate, respectively
x = [tex]\frac{m_{1}x_{1} + m_{2} x_{2} }{m_{1} + m_{2} }[/tex]
x = [tex]\frac{85.41 + 93.65}{85 + 93}[/tex]
x = [tex]\frac{9445}{178}[/tex]
x = 53.06
The x-coordinate of the center of mass is 53.06.
