A Solid Sphere of Radius R = 5 Cm and Mass

question 7

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.

Recognize the significance of social relationships and personal expressiveness on life satisfaction and well-being.

Identify effective strategies for coping with stress and enhancing psychological resilience.

Explore the relationship between subjective well-being (SWB), personality traits, and psychological needs.

Uncover the dynamics of post-traumatic growth and its contribution to psychological improvement.

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Definitions:

Optimization Models

Mathematical models that are designed to find the best possible solution or outcome from a set of parameters or constraints.

Prescriptive Analytics

The set of analytical techniques that yield a best course of action.

Maximize

To increase or make as large or great as possible, often used in the context of mathematical optimization.

Minimize

To reduce to the smallest possible amount or degree.