University Physics with Modern Physics with Mastering Physics (11th Edition)

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7.54: To be at equilibrium at the bottom, with the spring compressed a distance , x 0 the spring force must balance the component of the weight down the ramp plus the largest value of the static friction, or . sin 0 f θ w kx + = The work-energy theorem requires that the energy stored in the spring is equal to the sum of the work done by friction, the work
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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 +-= θ 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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