The block has a mass M and moves within the smooth vertical slot. If it starts from rest when the attached spring is in the unstretched position at A, determine the constant vertical force F which must be applied to the cord so that the block attains a speed v_B when it reaches s_B. Neglect the size and mass of the pulley. The work of F can be determined by finding the difference Δl in cord lengths AC and BC and using U_F = F Δl.

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Given: M = 0.8 kg VB = 2.5 m S 1 = 0.4 m b = 0.3 m