A Merry-Go-Round of Radius R = 2

question 39

Multiple Choice

A merry-go-round of radius R = 2.0 m has a moment of inertia I = 250 kg⋅m², and is rotating at 10 rpm. A child whose mass is 25 kg jumps onto the edge of the merry-go-round, heading directly toward the center at 6.0 m/s. The new angular speed (in rpm) of the merry-go-round is approximately

• A) 10
• B) 9.2
• C) 8.5
• D) 7.1
• E) 6.4

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Definitions:

Sense Organs

Organs of the body that receive external stimuli and transmit sensory information to the brain, including eyes, ears, nose, tongue, and skin.

Basilar Artery

This artery is formed by the union of the two vertebral arteries at the base of the skull, supplying blood to the brainstem and posterior part of the brain.

Vertebral Arteries

Arteries that ascend in the neck and supply blood to the brain and spinal column.

Velocity

The rate of change of an object's position with respect to time, incorporating both speed and the direction of movement.