Replace this broken pipe under the kitchen sink

kitchen-sink

This pipe under my kitchen sink has a big crack in the area circled in yellow. (It's on the back side so it isn't visible in the photo.) Can I simply unscrew the nut at the top that I circled in red to replace the pipe? I'm afraid to just go ahead and try in the fear that I will put my kitchen sink out of commission. I'm already ok with disconnecting the hand-tightened nut at the bottom.

my broken pipe

Update:

Success! I replaced the tailpiece with no problem. Thanks to all for the help.

Best Answer

Yes - that's a "tailpiece" - the new one may be too long, if so, they are made that way so you can cut them to fit - but there's also considerable space to slide them built into the connections, so don't overdo cutting them down.