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If this happened last night, then it has likely already moved out of the stomach area. There is the chance he will pass it on his own and it may take several days for that to occur. You will need to monitor him closely as he can develop an intestinal obstruction as a result. You will want to look for a loss of appetite, vomiting, and an inability to defecate. There may be diarrhea and abdominal discomfort as well. Often the vomit will smell much like fecal matter and even be dark in color as well. Read more on obstruction below.
One thing I want to point out is that if you should see part of the plastic coming out the rectum do not pull on it or let the dog pull on it. If it is hanging, just cut it off at the rectum. You can injure the bowels by pulling on any foreign object exiting the rectum.
Now if your dog does start displaying symptoms of an obstuction, have him seen by your vet as soon as possible.
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