**(a)** At the center of mass of the system:

$\overline{){\mathbf{x}}{\mathbf{=}}\frac{{\mathbf{m}}_{\mathbf{1}}{\mathbf{x}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}{\mathbf{x}}_{\mathbf{2}}}{{\mathbf{m}}_{\mathbf{1}}\mathbf{+}{\mathbf{m}}_{\mathbf{2}}}}$

**(a)** Find the *x-*coordinate *x*_{cm} of the system's center of mass. Give your answer in terms of *m*_{1}, *m*_{2}, *x*_{1}, and *x*_{2}.

**(b)** If *m*_{2} >> *m*_{1} , then the center of mass is located:

A. Left of *m*_{1} at a distance much greater than *x*_{2} - *x*_{1}.

B. Left of *m*_{1} at a distance much less than *x*_{2} - *x*_{1}.

C. Right of *m*_{1} at a distance much less than *x*_{2} - *x*_{1}.

D. Right of *m*_{2} at a distance much greater than *x*_{2} - *x*_{1}.

E. Right of *m*_{2} at a distance much less than *x*_{2} - *x*_{1}.

F. Left of *m*_{2} at a distance much less than *x*_{2} - *x*_{1}.

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