Conservation of Energy in a Sliding Box on an Incline

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SUMMARY

The discussion focuses on calculating the mechanical energy lost due to friction for a 1.90 kg box sliding down a rough incline from a height of 1.51 m. The box's initial speed is 2.99 m/s at the top and 2.56 m/s at the bottom. Participants emphasize using the conservation of energy principle, which states that the total initial energy equals the total final energy. The key energies involved are gravitational potential energy, kinetic energy, and the work done by friction.

PREREQUISITES
  • Understanding of gravitational potential energy
  • Knowledge of kinetic energy calculations
  • Familiarity with the work-energy principle
  • Basic concepts of friction in physics
NEXT STEPS
  • Calculate gravitational potential energy using the formula PE = mgh
  • Determine kinetic energy at both the top and bottom of the incline using KE = 0.5mv²
  • Learn how to calculate work done by friction
  • Explore the implications of energy loss in real-world applications
USEFUL FOR

Students studying physics, educators teaching energy conservation principles, and anyone interested in understanding the dynamics of motion on inclined planes.

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Homework Statement



A 1.90 kg box slides down a rough incline plane from a height h of 1.51 m. The box had a speed of 2.99 m/s at the top and a speed of 2.56 m/s at the bottom. Calculate the mechanical energy lost due to friction (as heat, etc.).
 
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hi - any ideas on how to go about this? I would start by looking at the differenet forms of energy involved & thinking about conservation of energy
 
Welcome to PF. :) Hopefully you'll be wanting to change that username soon enough.

Look at the total initial energy, and at the total final energy, remember that conservation of tells you that they're equal. You have three energies involved in this problem. Potential gravitational energy, kinetic energy and the work of friction, try and see which ones you know for the initial and final states, and which ones you don't.
 

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