A Turntable Has a Radius of 0

question 87

Multiple Choice

A turntable has a radius of 0.80 m and a moment of inertia of 2.0 kg · m². The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis though its center on frictionless bearings. A very small 0.40-kg ball is projected horizontally toward the turntable axis with a velocity of 3.0 m/s. The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure) . What is the angular velocity of the turntable just after the ball is caught?

• A) 2.1 rad/s
• B) 1.3 rad/s
• C) 0.94 rad/s
• D) 0.75 rad/s
• E) 0.30 rad/s

---

Definitions:

Hypercapnia

Higher than normal levels of carbon dioxide in the blood or tissues.

Acidic

A term describing a substance with a pH less than 7, which is characteristic of having a higher concentration of hydrogen ions.

Hyperventilating

Excessive and fast breathing that can lead to a decrease in carbon dioxide levels in the blood, often triggered by stress or panic.

Apnea

Apnea is a temporary cessation of breathing, especially during sleep, which can be a sign of a sleep disorder such as sleep apnea.