Here are some HP support links that might be helpful... and a couple questions to consider.
Q: Is your new cartridge one of these listed below?
"The HP Officejet 6100 series and HP Digital Copier Printer 410 products use the print cartridges listed below:
* HP 56 black print cartridge
* HP 57 tri-color print cartridge
* HP 58 photo cartridge (replaces the HP 56 black print cartridge for six-ink photo printing)"
info from: Installing a Print Cartridgehttp://h10025.www1.hp.com/ewfrf/wc/document?docname=c00004340&lc=en&dlc=en&cc=us&lang=en&rule=12548&product=79477
Is your new cartridge a refilled cartridge? Some times those have special challenges. Has your cartridge been sitting a while in the box, maybe in a warm spot? Some times even new cartridges dry out a little. Was your old cartridge low or completely gone? Just as a test, if you put it back in your printer does the old cartridge work? Any printer error messages? Can you print a test page or an alignment page for your black cartridge?
These might be too many questions but here are some HP support links with some How To information for getting more answers. Please let me know if any of these are helpful.
see also: Slow or No Response from Printerhttp://h10025.www1.hp.com/ewfrf/wc/documentSubCategory?rule=11882&lc=en&dlc=en&cc=us&lang=en&product=79477