It has been said that sometimes lead bullets melt upon impact. Assume that a bullet with an initial temperature of 301 K receives 67.9 % of the work done on it by a wall on impact as an increase in internal energy. (The melting point of lead is 601 K, the heat of fusion for lead is L = 23.2 kJ/kg, and the specific heat of lead is c = 0.129 kJ/kg K.)
a) What is the minimum speed with which a 13.3-g lead bullet would have to hit a surface (assuming the bullet stops completely and all the kinetic energy is absorbed by it) in order to begin melting?
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b) What is the minimum impact speed required for the bullet to melt completely?
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