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Mariah Carey. Picture: AP

Mariah Carey was so excited about US President Barack Obama's re-election that she released a new song in his honour.

Beyonce popped up on Instagram with a rebuke for Mitt Romney, while Romney supporter Elisabeth Hasselbeck sent out a disappointed but conciliatory tweet urging a divided United States to become one.

Celebrities, who voiced their opinions loudly during the election, continued to speak their minds after the ballots were counted.

Cameron Diaz, who is promoting her film Gambit in London, said she was worried about the election as she fell asleep.

"I was terrified that I was going to wake up to a total embarrassment for our country and that today would be a very different day for me," she said on Wednesday. "But I was so thrilled."

Romney supporters Donald Trump and Ted Nugent ranted on Twitter after the election that the country is doomed, while Spike Lee and Russell Simmons celebrated Obama's victory and the diverse electorate behind it.

NBC News anchor Brian Williams called attention to Trump's series of tweets on Tuesday while covering election returns, saying the real estate magnate and reality TV star had "driven well past the last exit to relevance and veered into something closer to irresponsible" with his posts.

Nugent was upset - and expressive - on Wednesday morning.

"Pimps whores & welfare brats & their soulless supporters hav a president to destroy America [sic]," he wrote. "Goodluk America u just voted for economic & spiritual suicide. Soulless fools."

"I cry tears of blood for The Last Best Place & the warriors who died for this tragedy."

Hasselbeck shared a more measured response, tweeting, "#momentofpeace: You cannot love the game only when your player wins. We remain to be the greatest nation and @BarackObama is OUR President [sic]."

Carey released a new song, Bring It On Home, online on Wednesday to celebrate the President's victory. She first performed the song at an Obama fundraiser over the US summer, said Carey publicist Cindi Berger.

The pop star also shared her support on Twitter.

"Congratulations to our beloved President Barack Obama, our spectacular First Lady Michelle Obama & the adorable Malia & Sasha. We love you [sic]!" Carey wrote. "INCREDIBLE SPEECH Watching in a room full of diverse people-all truly moved. Thank you America for President Obama-4more yrs."

Scores of other stars - including Tony Bennett, Cher, Shakira, Lady Gaga, Jessica Alba and Samuel L Jackson- celebrated Obama's victory on Twitter.

Others, including filmmaker Ron Howard and actors Rob Lowe and James Van Der Beek, say it's time to move past the election toward mending the country.

Rapper will.i.am will commemorate Obama's re-election by releasing a new song in the President's honour.

In a post on Twitter, he wrote: "In 2008 I wrote It's a New Day 1 week before Barack Obama won... and last week I wrote another victory song... it will be out in 1 week. [sic]"

Legendary musician Bob Dylan embraced social networking for the first time on Tuesday to predict Obama's victory.

The singer/songwriter set up an official Facebook account in 2007 and the page has four million "likes" from fans, but he has never personally updated his profile - until Tuesday evening.

In the hours before the result of the election was announced, Dylan took to his page and told fans he did not believe the race between incumbent Democrat Obama and Republican candidate Mitt Romney was as close as reported.

He wrote: "Here's pretty close to what I said last night (at a concert) in Madison (Wisconsin). I said from the stage that we had to play better than good tonight, that the president was here today and he's a hard act to follow. Also, that we're not fooled by the media and we think it's going to be a landslide. That's pretty much all of it."

He then signed off the message, "Bob Dylan".

The star's prediction came true and Obama was re-elected ahead of Romney.