Calculating Eraser's Distance on Friction Desk

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SUMMARY

The discussion focuses on calculating the distance an eraser slides on a desk after being propelled by a compressed spring with a force constant of 22 N/m. The eraser, weighing 0.0075 kg, experiences a friction force of 0.042 N. By applying the law of conservation of energy, the spring's potential energy is equated to the work done against friction to determine the distance traveled. The relevant equations include elastic potential energy (Ee = 0.5 K x^2) and work done by friction (w = f d).

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Homework Statement



A student uses a compressed spring of force constant 22 N/m to shoot 0.0075 kg eraser across a desk. The magnitude of the force of friction on the eraser is 0.042N. How far along the horizontal desk will the eraser slideif the spring is initially compressed 3.5 cm? Use the law of conservation of energy.

Homework Equations



Ee = .5 K x^2
Ek = 0.5 m v^2
w = f d cos ()


The Attempt at a Solution



http://img189.imageshack.us/i/lastscank.jpg/
 
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You don't need the kinetic energy equation for this problem. Set the spring energy equal to the friction energy and solve for the unknown d that the eraser would have to travel to make the equality true.
 

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