Planets a and B Are Uniform Solid Spheres That Rotate $\omega$

question 52

Multiple Choice

Planets A and B are uniform solid spheres that rotate at a constant speed about axes through their centers. Although B has twice the mass and three times the radius of A, each planet has the same rotational kinetic energy. What is the ratio $\omega$ _B/ $\omega$ _A of their angular speeds?

• A)0.055
• B)0.093
• C)0.165
• D)0.191
• E)0.236

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Definitions:

Method Of Elimination

A technique for solving a system of linear equations by removing variables to solve for another.

Grey Line

A phenomenon in radio communications where enhanced propagation conditions occur at dawn and dusk along the terminator line.

Linear Equations

Equations where the highest exponent of the variable(s) is one, resulting in a straight line when graphed.

Method Of Elimination

A technique for solving systems of equations by eliminating variables to solve for the others.