A Solid Sphere of Mass 1

question 76

Short Answer

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by I= (2/5)MR².
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere?
Does the angular speed depend on the radius or mass of the sphere?

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Definitions:

Productive Units

Measures or quantities of output produced, serving as a basis for allocating costs in some accounting systems.

Machine Costing

A costing method used for products or services that primarily involve machine operations, allocating costs based on machine hours used.

Depreciation Method

A systematic approach for allocating the cost of a tangible asset over its useful life, reflecting how the asset's economic value decreases over time.

Asset's Life

The expected period over which an asset is useful and can contribute to the revenue-generating activities of a business.