Find the Center of Mass of the Given System

question 80

Multiple Choice

Find the center of mass of the given system of point masses. $\begin{array}{|c|c|c|c|c|c|}\hline m_{i} & 8 & 8 & 8 & 7 & 9 \\\hline\left(x_{i}, y_{i}\right) & (5,-2) & (6,-7) & (2,4) & (-7,-7) & (-5,5) \\\hline\end{array}$

• A) \(\bar { x } = \frac { 13 } { 43 } , \bar { y } = - \frac { 41 } { 43 }\)
• B) \(\bar { x } = \frac { 9 } { 40 } , \bar { y } = - \frac { 9 } { 8 }\)
• C) \(\bar { x } = \frac { 1 } { 4 } , \bar { y } = - \frac { 11 } { 10 }\)
• D) \(\bar { x } = \frac { 13 } { 40 } , \bar { y } = - \frac { 41 } { 40 }\)
• E) \(\bar { x } = \frac { 3 } { 10 } , \bar { y } = - \frac { 21 } { 20 }\)

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Definitions:

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The sense of close personal connection and mutual vulnerability shared between individuals, often in the context of a close relationship.

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