An object, of mass m = 3 kg, is released from a height h = 5 m of the top of a rough 45 incline, slides on a horizontal frictionless plane at the bottom, and then climbs again on a rough incline of 45 as well. If the coefficient of kinetic friction between the object and both inclines is the same = 0.1:
1) Determine at what height the object will stop at the top of the right incline before sliding down again to the left.
2) Determine the maximum height on the left incline that the object will reach before sliding back again to the right.
3) Will this back and forth motion of the object between the left and right inclines eventually stop or not? Explain.