A 2-kg block A is pushed up against a spring compressing

Chapter 13, Problem 13.200

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A 2-kg block A is pushed up against a spring compressing it a distance x = 0.1 m. The block is then released from rest and slides down the \(20^{\circ}\) incline until it strikes a 1-kg sphere B which is suspended from a 1-m inextensible rope. The spring constant k = 800 N/m, the coefficient of friction between A and the ground is 0.2, the distance A slides from the unstretched length of the spring d = 1.5 m, and the coefficient of restitution between A and B is 0.8. When \(a = 40^{\circ}\), determine (a) the speed of B, (b) the tension in the rope.

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