# Chapter 7 - Problems - Page 264: 32

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 $(4.17~cm, 0)$.

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