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Center of Mass: Where is the Third Mass Located?

APPHMC-UX9WPS

The $x$ location and mass of two objects are given as $(1 m, 3 kg)$ and $(-2 m, 2 kg)$. A third object has mass $1 kg$.

Given that the center of mass of the system lies at $x = -1 m$, what must be the $x$ position of the third object?

A

$x = -5 m$

B

$x = -3 m$

C

$x = -2.5 m$

D

$x = -2 m$

E

$x = 2 m$