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2kg block is initially seated on the top of a hemispherical ice mound of radius R = 3m. It begins to slide down the

  

2kg block is initially seated on the top of a hemispherical ice mound of radius R = 3m. It begins to slide down the ice, with a negligible initial speed. Approximate the ice as being frictionless. Find, a)At what height does the block lose contact with the ice? b)At what velocity does the block lose contact with the ice? c) At what velocity does the block strikes the ground? d) What is the flight time of the block after it lose the contact? e) What is the range of the block? (Distance between the point O and the point where it strikes the ground)

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