Find the Center of Mass of the Given System $\begin{array}{|c|c|c|c|c|}\hline m_{i} & 10 & 1 & 9 & 3 \\\hline\left(x_{i}, y_{i}\right) & (-8,8) & (1,8) & (2,-10) & (6,6) \\\hline\end{array}$

question 23

Multiple Choice

Find the center of mass of the given system of point masses. $\begin{array}{|c|c|c|c|c|}\hline m_{i} & 10 & 1 & 9 & 3 \\\hline\left(x_{i}, y_{i}\right) & (-8,8) & (1,8) & (2,-10) & (6,6) \\\hline\end{array}$

• A) \(\bar { x } = - \frac { 44 } { 23 } , \bar { y } = \frac { 15 } { 23 }\)
• B) \(\bar { x } = - \frac { 20 } { 13 } , \bar { y } = \frac { 19 } { 26 }\)
• C) \(\bar { x } = - \frac { 41 } { 23 } , \bar { y } = \frac { 18 } { 23 }\)
• D) \(\bar { x } = - \frac { 40 } { 23 } , \bar { y } = \frac { 19 } { 23 }\)
• E) \(\bar { x } = - \frac { 43 } { 23 } , \bar { y } = \frac { 16 } { 23 }\)

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Definitions:

Cognitive Elements

Components of thought and belief systems that influence individuals’ perceptions and actions.

Physiological Elements

Components related to the physical and biological functions of organisms, including bodily processes and structures.

Incentive Approaches

Strategies or methods that motivate individuals towards achieving a goal by offering rewards or incentives as motivation.

Evolutionary Approaches

Theories or methods that explain various aspects of human behavior, psychology, and culture based on principles of evolutionary biology.