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Center of Mass and Coordinate System

A system of four buckets forms a square as shown in the figure. Initially, the buckets have different masses (it is not known how these masses are related). A student begins to add water gradually to the bucket located at the origin. As a result, what happens to the coordinates of the center of mass of the system of buckets? (See attached file for full problem description with diagram)

The x coordinate stays the same; the y coordinate increases.
The x coordinate stays the same; the y coordinate decreases.
The x coordinate increases; the y coordinate stays the same.
The x coordinate decreases; the y coordinate stays the same.
The x coordinate increases; the y coordinate increases.
The x coordinate decreases; the y coordinate decreases.
The x coordinate stays the same; the y coordinate stays the same.
There is not enough information to answer the question.

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Both x and y coordinates decrease.

The center of mass is the weighted average of the position ...

Solution Summary

This solution explains which option the system of four buckets will undergo when a student begins to add water to the bucket located at the origin.

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