1. A 36.6-kg block of ice at 0 °C is sliding on a horizontal surface. The initial speed of the ice is 9.02 m/s and the final speed is 3.89 m/s. Assume that the part of the block that melts has a very small mass and that all the heat generated by kinetic friction goes into the block of ice, and determine the mass of ice that melts into water at 0 °C.
2. A rock of mass 0.396 kg falls from rest from a height of 28.3 m into a pail containing 0.447 kg of water. The rock and water have the same initial temperature. The specific heat capacity of the rock is 1880 J/(kg ·C°). Ignore the heat absorbed by the pail itself, and determine the rise in temperature of the rock and water in Celsius degrees.
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