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categoryهندسة ميكانيكية schoolبكالوريوس event_available2026-07-13

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Homework problem Search documents and file names for text 2) A mass A weighing 2 kg is attached to a spring with spring constant 20 N/m, and is initially at rest at x = 0. A second mass B, also 2 kg, moves toward the first at a speed of 1 m/s: the two masses collide inelastically at t=0. The two masses remain in contact as the spring compresses. k = 20 N/m A=2 kg V = ? k = 20 N/m A=2 kg B=2 kg v = 1 B=2 kg a. What is the velocity of the combined masses just after the collision? b. How far does the spring compress in order to bring the masses to a halt? c. The spring pushes the masses back the way they came. When the masses pass through x=0 again, they separate, because the spring begins to pull on Mass A, but it's not attached to Mass B. At what time does the separation occur? (Hint: between the time of collision and separation, the system behaves as a mass-spring oscillator with mass 4 kg.) After separation, Mass B continues to move away, while Mass A continues to oscillate on its spring. d. What is the period of oscillation of Mass A after Mass B has left? e. Make a complete account of the energy in the system before the collision, and after Mass B has moved away. (How much energy is in Mass B? How much in Mass A and its spring? How much has been lost? etc.)

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