Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.1 kg at (0.0, 3.4) m, and 4.0 kg at (2.7, 0.0) m. Where should a fourth object of 6.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?
x = _____m
y = _____m
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