Which Plane Orientation Dissipates the Most Mechanical Energy?

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SUMMARY

The discussion centers on the mechanical energy dissipation of a block sliding on three different plane orientations: horizontal, sloped down, and sloped up. It concludes that while the block stops in all scenarios, the energy dissipated is not equal due to the varying effects of kinetic friction and gravitational potential energy. The key takeaway is that the orientation of the plane significantly influences the rate and total mechanical energy dissipated, with the sloped orientations exhibiting different energy dynamics compared to the horizontal plane.

PREREQUISITES
  • Understanding of kinetic and potential energy concepts
  • Familiarity with frictional forces and their impact on motion
  • Basic knowledge of mechanical energy conservation principles
  • Ability to analyze forces acting on objects in different orientations
NEXT STEPS
  • Study the principles of kinetic friction and its calculation
  • Explore gravitational potential energy and its role in mechanical systems
  • Learn about energy conservation laws in non-frictionless systems
  • Investigate the effects of different angles of inclination on energy dissipation
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding energy dynamics in mechanical systems.

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The figure above shows three choices for the orientation of a plane that is not frictionless, and for the direction in which a block slides along the plane. The block begins with the same speed in all three choices, and slides until the kinetic frictional force has stopped it. For which choice is the amount of mechanical energy dissipated greatest?

The first figure is of a block on a horizontal plane.
The second figure is of a block on a sloped plane and the block's original velocity was down the slope.
The third figure is of a block on the same sloped plane, but the initial velocity was up the slope.

I thought the answer was the third figure, but it isn't. Now I think that all of the energy dissapated is equal because they all come to a stop. So all of the energy is gone. (but don't they stop at different times?) thanks
 
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Here's a hint, there's energy in many forms, kinetic, heat, and of course, gravitaitonal.
 

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