The Westin Stamford Hotel in Detroit is 228m tall. Suppose a piece of ice, which initially has a temperature of 0.0 degree C falls from the hotel roof and crashes to the ground. Assuming that 50.0 percent of the ice's mechanical energy during the fall and collision is absorbed by the ice and that 3,33 x 10^5 J is required to melt 1.0 kg of ice, calculate the fraction of the ice's mass that would melt.

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