Conservation of Energy in a Sliding Box on an Incline

AI Thread Summary
To solve the problem of a 1.90 kg box sliding down a rough incline from a height of 1.51 m, one must consider the conservation of energy principles. The total initial energy consists of gravitational potential energy and kinetic energy at the top, while the total final energy includes kinetic energy at the bottom and the work done against friction. The difference between the initial and final energies will reveal the mechanical energy lost due to friction. It is essential to calculate the potential and kinetic energies at both states to determine the energy loss accurately. Understanding these energy transformations is crucial for solving the problem effectively.
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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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