"He threw all the bottles that were in reach, all except for one which was a celebratory magnum-sized bottle of wine", she said.
Depp denies abusing Heard and claims she was the aggressor during their relationship.
The Edward Scissorhands actor is suing the tabloid's publisher, News Group Newspapers (NGN) and its executive editor Dan Wootton over an April 2018 article which labelled him a "wife beater".
The "Pirates of the Caribbean" star has emphatically denied 14 claims of violence that NGN said proves its story, and sought to portray Heard as a calculating and dishonest fantasist intent on destroying his life.
"Laws read text messages out on May 22, 2016, where Heard supposedly tells Musk that she will acquire a restraining order against Depp, along with the billionaire gives to" organize 24/7 safety" Musk supposedly said the deal would endure, "even though you wanted to see me ... anyway, sorry for being an idiot.
She said: "I had bruised ribs, bruises all over my body from where I had been defending myself from the blows, two black eyes, a broken nose, a broken lip, really bad [injuries] in my hairline, my chin".
Regarding another alleged incident in Australia, Laws put it to Heard that Depp could not have grabbed her hair with one hand and punched her with the other because one hand was in a cast.
"One after the other after the other, in my direction, and I felt the glass breaking behind me". I was so scared to look behind me. He picked up bottles and began to throw them.
"Heard said that this was after he" smashed a telephone against a wall".
The actor has previously claimed his ex-wife threw a glass bottle at him.
Ms Heard replied: "Johnny did that".
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Eleanor Laws QC, representing Depp, said: "That is what you use to snort cocaine, isn't it?"
Ms Heard said: "Yes, he did". "I don't think he meant to sever the finger but yes he carried on attacking me".
On Thursday, the last of four days of oral evidence by Heard, she was asked about an incident she said had taken place in March 2013, when the couple were dating but were not yet married.
She told how she ran upstairs to "escape" but Depp followed her and "shoved" her - leaving Heard fearing she would fall down the steps.
Laws said medical notes made by a nurse, Erin Boerum, who saw Heard shortly after the alleged incident, didn't note any bruises, just bleeding on her lip. Holding back tears, she told the court she tried to push him off, saying "Johnny stop, it's me, stop please".
"I used concealer to hide some of the bruises, plus foundation - a full face of makeup".
Listen: Amber Heard admits to hitting Johnny Depp in a recorded argument.
Heard has said that Depp would harm himself, also told the court the celebrity "self-harmed". "Here, just take it", and in that stage drinking had been... he'd given it for some time and it had been among of'when this occurs, I render' kind of thing.
But Heard replied: "No, I don't know how to do that sort of thing". He has claims his ex-wife had a violent temper, and that he has always acted in self-defence.
After Ms Heard completed her testimony, the court heard evidence from her younger sister, Whitney Henriquez.
"And the moment that happened I remembered information I had heard (that) he pushed a former girlfriend - I believe it was Kate Moss - down the stairs", Heard told the court.