Solving Inclined Plane Problem: Object Stopping Distance with Friction

AI Thread Summary
To solve the inclined plane problem, the object starts at rest on a frictionless incline and slides down, converting potential energy into kinetic energy. The object then encounters friction on the horizontal surface, which affects its stopping distance. The coefficient of kinetic friction is 0.400, and the incline's angle is 30 degrees. Applying the conservation of energy principle and calculating the forces involved will yield the horizontal distance the object travels before stopping. Understanding these concepts is crucial for determining the stopping distance accurately.
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Homework Statement



An Object with a mass of 10.0kg is at rest at the top of a frictionless inclined plane of length 8.00m and an angle of inclination 30.0 with the horizontal. The object is released from this position and it stops at a distance d from the bottom of the inclined plane along a horizontal surface. The coefficient of kinetic friction for the horizontal surface is 0.400. At what horizontal distance from the bottom of the inclined plane will this object stop?

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The Attempt at a Solution

 
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I have a final tomorrow and I can't figure these out :(
 
isohelp said:
I have a final tomorrow and I can't figure these out :(

Draw the diagram for initial and final position for the object. Use law of conservation of energy at the top and distace d from the bottom.
 
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