What are your resource's max units? Check the Resource Sheet view. Assuming the resource's max units? Take a look at the Resource Usage view - how many hours per day is the resource assigned during the two weeks? If you have 2 - week fixed durations task and the resource is assigned to both tasks at 2 hours spread out over two weeks - the resource should be working .2 hrs per day on each task for a total of .4 hours per day.

You did assign the resource at 2h on the second task, yes? Can you take a screen shot of the Resource usage view and attach it to your reply?

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