V ma www k Q8. A small object of mass m2 = 4 kg is placed on top of another object of mass m/ = 6 kg, and which is connected to a spring with spring constant k = 50 N/m, as shown in the figure. There is no friction between the larger object and the horizontal surface underneath, and the system is in equilibrium. The system is pushed with an initial speed vo= √10 m/s, and then it continues to move freely. a) Find the amplitude of the oscillations if the two masses are moving together. b) Find the smallest value of the friction coefficient such during the oscillations the smallest object of mass m2 will not slide on the larger object of mass mi. c) Find the maximum acceleration and the maximum potential energy of the system containing the two masses.

V ma www k Q8. A small object of mass m2 = 4 kg is placed on top of another object of mass m/ = 6 kg, and which is connected to a spring with spring constant k = 50 N/m, as shown in the figure. There is no friction between the larger object and the horizontal surface underneath, and the system is in equilibrium. The system is pushed with an initial speed vo= √10 m/s, and then it continues to move freely. a) Find the amplitude of the oscillations if the two masses are moving together. b) Find the smallest value of the friction coefficient such during the oscillations the smallest object of mass m2 will not slide on the larger object of mass mi. c) Find the maximum acceleration and the maximum potential energy of the system containing the two masses.