What Physics Principles Determine When a Box Slips on a Ramp?

AI Thread Summary
To determine when a box slips on a ramp, the forces acting on the box must be analyzed, including gravitational force, normal force, and frictional forces. The minimum angle at which the box begins to slip can be calculated using the coefficients of static friction and the weight of the box. Once the box starts moving, the acceleration can be derived from the net force acting on it, factoring in kinetic friction. After calculating the acceleration, the final velocity of the box after sliding 4.70 m can be determined using kinematic equations. Understanding these physics principles is essential for solving the problem effectively.
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A box of textbooks of mass 24.5 kg rests on a loading ramp that makes an angle alpha with the horizontal. The coefficient of kinetic friction is 0.270 and the coefficient of static friction is 0.330.

As the angle alpha is increased, find the minimum angle at which the box starts to slip.

At this angle, find the acceleration once the box has begun to move.

At this angle, how fast will the box be moving after it has slid a distance 4.70 m along the loading ramp?




please help me. i don't even know what to do or where to start. Thanks! :)
 
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