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A Solid Sphere, a Solid Cylinder, a Spherical Shell, and a Hoop

question 2

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A solid sphere, a solid cylinder, a spherical shell, and a hoop all have the same mass and radius. Each are rolling on a horizontal surface with the same center of mass speed, and then they roll up identical inclines. Which one goes the greatest distance up its incline?


Definitions:

Standard Deviation

A gauge for determining the level of difference or scattering in a series of amounts.

Mean High Temperature

The average of the highest temperatures observed over a specified period.

Normal Distribution

A symmetric, bell-shaped distribution of values in which the mean, median, and mode are all equal and located at the center of the distribution.

Standard Deviation

Standard deviation is a measure of the amount of variation or dispersion of a set of values; a low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

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