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A cannon of mass M starts sliding freely...

A cannon of mass M starts sliding freely down a smooth inclined plane at an angle `alpha` to the horizontal. After the cannon covered the distance `l`, a shot was fired, the shell leaving the cannon in the horizontal direction with a momentum p. As a consequence, the cannon stopped. Assuming the mass of the shell to be negligible, as compared to that of cannon, determine the duration of the shot.

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