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By Tosin Sulaiman and Peroshni Govender JOHANNESBURG (Reuters) - South Africans united in mourning for Nelson Mandela on Friday, but while some celebrated his remarkable life with dance and song, others fretted that the anti-apartheid hero's death would make the nation vulnerable again to racial and social tensions. President Jacob Zuma said Mandela would be buried on December 15 at his ancestral home in the Eastern Cape. South Africans heard from Zuma late on Thursday that their first black president, a Nobel Peace Prize laureate, had died peacefully at his Johannesburg home in the company of his family after a long illness. Zuma also announced Mandela would be honoured at a December 10 memorial service at Johannesburg's Soccer City stadium, the site of the 2010 World Cup final.