John's mass is 98.3 kg, and Barbara's mass is 62.3 kg. He is standing on the x-axis at [tex]x_j = +9.67 \, \text{m}[/tex], while she is standing on the x-axis at [tex]x_B = +219 \, \text{m}[/tex]. They switch positions.

How far and in which direction does their center of mass move as a result of the switch?

Calculate the distance moved by the center of mass.

The center of mass formula can be applied to determine how far and in which the center of mass of the system moves as a result of the switch.

Center of mass (C) = m1d1 + m2d2 / m1 + m2

where,m1 is the mass of Johnm2 is the mass of Barbarad1 is the distance of John from the origin or reference pointd2 is the distance of Barbara

from the origin or reference pointOn substituting the given values,

we get;

C = (98.3 kg)(9.67 m) + (62.3 kg)(219 m) / (98.3 kg + 62.3 kg)C = 66.0 m

Since the distance between the initial and final position of the center of mass is 0, we can say that the center of mass moves by 0 meters.In which direction the center of mass moves,

Since the distance between the initial and final position of the center of mass is 0, we can say that the center of mass moves in no direction.

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