not accepting black new cartridge

It likely has something to do with the small microchip on the cartridge, When you got the cartridge out of the packet did you accidentally damage the small microchip on the bottom near the spot where the ink comes out? Alternatively check where that microchip would line up in the printer, you may have damaged the sensor.

Also is the cartridge actually made by HP? The reason for those chips is to ensure you can't use a better or cheaper cartridge.

Finally check to see if you have the right cartridge, it may be the wrong size/type, but still fit in, look up your printer online and see if the cartridge you bought matches up.