A spring is used to stop a 50-kg package which is moving

Chapter 13, Problem 13.68

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A spring is used to stop a 50-kg package which is moving down a \(20^{\circ}\) incline. The spring has a constant k = 30 kN/m and is held by cables so that it is initially compressed 50 mm. Knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.

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