A 2-kg block A is pushed up against a spring compressing it a distance x. The block is then released from rest and slides down the 20° 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 = 1.5m and the coefficient of restitution between A and B is 0.8. Knowing the tension in the rope is 20 N when α = 30°, determine initial compression x of the spring.

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