Access: VBA Combining Multiple Excel Files To 1 New Sheet

I have multiple worksheets spread across multiple Excel files (1 worksheet per file).

All files are stored in the same folder, and all worksheets have the same column headers and structure. I need a block of code that will combine all of these worksheets into a single worksheet in a master Excel file. That is, the code needs to:

1. Open the first Excel file.
2. Copy the first worksheet's contents into the first worksheet of the master file, beginning at the next empty row it finds.
3. Close the Excel file, and move on to the next file.
4. Repeat.

So in the end, ten worksheets residing on ten different Excel files will be combined into a single worksheet in a single file. No breaks are needed between them, instead, the last row of a worksheet would be followed by the first row of the next one immediately below it. No aggregate functions involved, no sums, nothing like that (which is why I don't think I can use the Consolidate function in Excel).