Answer
The location of the center of mass is $(4.17~cm, 0)$
Work Step by Step
We can find the x-coordinate of the center of mass:
$x_{com} = \frac{(5.0~g)(0)+(1.0~g)(25~cm)}{5.0~g+1.0~g}$
$x_{com} = \frac{0+(1.0~g)(25~cm)}{6.0~g}$
$x_{com} = \frac{25~cm}{6}$
$x_{com} = 4.17~cm$
We can find the y-coordinate of the center of mass:
$y_{com} = \frac{(5.0~g)(0)+(1.0~g)(0)}{5.0~g+1.0~g}$
$y_{com} = \frac{0+0}{6.0~g}$
$y_{com} = 0$
The location of the center of mass is $(4.17~cm, 0)$.
