Physics Elena please help!
posted by Anonymous .
Consider the following mass distribution, where x and y coordinates are given in meters: 7.0 kg at (0.0, 0.0) m, 3.0 kg at (0.0, 5.0) m, and 7.0 kg at (4.0, 0.0) m. Where should a fourth object of 5.0 kg be placed so that the center of gravity of the four object arrangement will be at (0.0, 0.0) m? What is the the xcoordinate? What is the ycoordinate?

x=(m1•x1+m2•x2+m3•x3+m4•x4)/(m1+m2+m3+m4) = 0+0+3•4+5•x4/ 22 = 0
y=( m1•y1+m2•y2+m3•y3+m4•y4)/(m1+m2+m3+m4) = 0+3•5+0+5•y4/22 =0
12+5•x4 = 0 => x4 =  2.4 m
15+5•y4 =0 => y4=  3 m
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