(Solution) - An object of mass m1 9 00 kg -(2025 Original AI-Free Solution)

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An object of mass m1 = 9.00 kg is in equilibrium while connected to a light spring of constant k = 100 N/m that is fastened to a wall as shown in Figure P15.52a. A second object, m2 = 7.00 kg, is slowly pushed up against m1, compressing the spring by the amount A = 0.200 m, (see Figure P15.52b) The system is then released, and both objects start moving to the right on the frictionless surface.
(a) When m1 reaches the equilibrium point, m2 loses contact with m1 (see Fig. P15.5c) and moves to the right with speed v. Determine the value of v.
(b) How far apart are the objects when the spring is fully stretched for the first time D in Fig. P15.52d) (Suggestion: First determine the period of oscillation and the amplitude of the m1?spring system after m2 lose contact with m1.)