Three Children Acrobats Are Standing Still on a Circular Horizontal

question 1

Multiple Choice

Three children acrobats are standing still on a circular horizontal platform of radius 4 m suspended at the center.The origin of the xy - Cartesian coordinate system is in the center of the circular platform.A 30-kg child is located at (1 m,2 m) ,and a 40-kg child is located at (-1 m,- 2 m) .Assuming the children stand still on their positions,where must a 20-kg child acrobat be located so that the center of mass of the system consisting of the three children is at the origin and the platform is balanced?

• A)(-0.5 m,2 m)
• B)(-0.5 m,-2 m)
• C)(-0.5 m,1 m)
• D)(-0.5 m,-1 m)
• E)Equilibrium impossible in this configuration.

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Definitions:

Random Sampling

Sampling in which every member of a population has an equal chance to be selected and in which selection is determined by “luck of the draw” rather than a decision by the researcher.

Degrees

Units of measurement for angles in a circle or for temperature; in the context of education, it refers to academic qualifications.

Freedom

The power or right to act, speak, or think as one wants without hindrance or restraint.

Standard Deviation

A statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.