A 250-kg crate is placed on an adjustable inclined plane.If the crate slides down the incline with an acceleration of 0.25 m/s² when the incline angle is 25°,then what should the incline angle be for the crate to slide down the plane at constant speed? Note: g = 9.8 m/s². A) 12° B) 21° C) 24° D) 29°

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Quizplus · Accepted Answer

For the crate to slide at constant speed, the net force must be zero, meaning the component of gravitational force along the incline equals the frictional force. The angle where this occurs is slightly less than the angle causing acceleration. Calculating using the formula for acceleration on an incline, we find the angle to be approximately 24°.

A 250-Kg Crate Is Placed on an Adjustable Inclined Plane