I need a nice constructive criticism formal letter to my coworker who is grouch!

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He ladies and Gents, I am working 10 hours grave yard shift. My job is wonderful and the best out there, I could not complain. But here's the thing, I work with NEGATIVE POWER around with this particular person. I mean, there is so much negativity with this person. Here's the story, she come in every night storming that door, slamming and dropping her stuff hard on the floor. When she logged in she swears, kicked the chairs, and start to whine all night. She start to say 'BLAH this and BLAH that with profanity every other words followed with F*** this and F**** that.' Now we as a co-worker do not know her situation at home. We do not want to know anyways. So if she is mad about her life she should not take it to work and have her coworker get affected by her action. It has been 1 year since she got hired and we are all so sick and tired of her complaining and whining about every little bitty things. Okay granted we all have those days but gGeez not every single day! So to make it short what I want, if anyone can tell me the proper constructive criticism to tell her without ever hurting her feelings. Of course, if it doesn't stop I may need to talk to my Boss about this. But this lady has 2 kids a single mom. I do not want her to get fired just because of this. I just need a better way, I like her and I dont feel grudge against her. Is just I dont understand why she thinks she has to swear and kick and showing inappropriate behavior. I dont know what it is that she want? What she's getting after swearing, cursing, yelling NOTHING NADA!, RIGHT? So please this bad behavior is getting into me and I can not concentrate at work. Because of her negativity the whole crew at night was labeled with her negativity. Anyone can help me with this one, I appreciate it if you could create one for her and one for my Boss. Thanks in advance.