A Playground Merry-Go-Round with a Radius of 2

question 7

Multiple Choice

A playground merry-go-round with a radius of 2.0 m and a rotational inertia of 100 kg m² is rotating at 3.0 rad/s. A child with a mass of 22 kg jumps onto the edge of the merry-go-round, traveling radially inward. What is the new angular speed of the merry-go-round?

• A)1.6 rad/s
• B)1.2 rad/s
• C)2.4 rad/s
• D)2.0 rad/s
• E)3.4 rad/s

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Definitions:

Variable Expenses Per Unit

Costs that change directly in proportion to changes in production or sales volume, calculated on a per unit basis.

Fixed Expenses

Expenses that remain constant regardless of production volume or sales efforts, like lease payments or wages.

Variable Expenses

Costs that fluctuate with production volume or business activity levels, such as materials and labor.

Fixed Expenses

Costs that do not fluctuate with the level of production or sales, such as rent or salaries.