A Solid Sphere Is Rolling Without Slipping Along a Horizontal

question 30

Multiple Choice

A solid sphere is rolling without slipping along a horizontal surface with a speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the sphere after it has rolled 3.00 m up the ramp?

• A) 4.01 m/s
• B) 8.02 m/s
• C) 1.91 m/s
• D) 2.16 m/s
• E) 3.53 m/s

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Definitions:

Null Hypothesis

A statement used in statistics that proposes there is no significant difference or effect, serving as the starting point for testing.

Significance Level

A threshold in hypothesis testing that determines whether a result is statistically significant; often denoted by alpha (α).

Partitioning

The process of allocating the total sum of squares and degrees of freedom to the various components.

Sum of Squares

A statistical technique used to describe the total variation or dispersion of a set of values around the mean; used in various analyses, including variance and regression.