A Spherical Shell of Inner Diameter R and Outer Diameter

question 4

Multiple Choice

A spherical shell of inner diameter R and outer diameter 3R has a uniform density ρ. What is the magnitude of the gravitational acceleration a distance 2R from the center of the spherical shell?

• A)15πGρR/7
• B)32πGρR/5
• C)25πGρR/12
• D)7πGρR/6
• E)7πGρR/3

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Definitions:

Hyperbola

A type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

Asymptotes

Lines that a graph approaches but never touches, indicating behaviour towards infinity in functions or sequences.

Hyperbola

A type of smooth curve lying in a plane, defined as the difference of distances from any point on the curve to two fixed points (foci) being a constant.

Graph

A visual representation of data, functions, or a collection of points in a coordinate system.