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1) i know that the legth compressed is L-(L-x), thus the length extend will be the same so if there is no frictional force inside the then i know that the ball lost contact with the spring is L+(L-x)...but how to prove??

A ball of the pinball of mass 0.1kg assimilated to a point M is launched by a spring and move up without friction in a track straight 60m (the sprin is in the track) then move curvely to an arc of a half circle with radius 20m at the topof the track. The plan contain the track and the arc is...