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**Unformatted text preview: **done by gravity and the initial kinetic energy, or , mv L f w kx 2 2 2 1 ) sin ( 2 1 +-= where L is the total length traveled down the ramp and v is the speed at the top of the ramp. With the given parameters, J 248 2 2 1 = kx and N. 10 10 . 1 3 = kx Solving for k gives . m N 2440 = k...

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