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Answer :
Final answer:
The minimum coefficient of friction needed for a solid sphere to roll down an incline without sliding is equal to the tangent of the angle of the incline.
Explanation:
In order for a solid sphere to roll down an incline without sliding, the minimum coefficient of friction should be equal to the tangent of the angle of the incline. The formula for the coefficient of friction is given by μ = tan(θ), where μ is the coefficient of friction and θ is the angle of the incline.
For example, if the incline has an angle of 30°, the minimum coefficient of friction would be μ = tan(30°) = 0.577.
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