A Solid Sphere of Radius R = 5 Cm and Mass

question 88

Multiple Choice

A solid sphere of radius r = 5 cm and mass m = 0.2 kg rolls in a groove as shown. The angle, $\theta$ , between the points of contact with the groove is 120 ^$\circ$ . If the sphere has a linear velocity of 10 mm/s, what is the rotational kinetic energy?

• A) 0.8 mJ
• B) 1.0 mJ
• C) 1.6 mJ
• D) 2.0 mJ
• E) undetermined.

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Definitions:

GABA

Gamma-Aminobutyric Acid, an inhibitory neurotransmitter in the central nervous system that helps regulate neuronal excitability throughout the nervous system.

Serotonin

A chemical messenger in the brain crucial for maintaining stable mood, as well as promoting feelings of contentment and joy.

Peripheral Nervous System

The part of the nervous system outside the brain and spinal cord, which connects the central nervous system to limbs and organs.

Sympathetic Nervous System

Part of the autonomic nervous system that prepares the body for physical activity by increasing heart rate, constricting blood vessels, and raising blood pressure.