friction, kinetic energy, latent heat, specific heat, phase change... blah blah

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blah... ALL TOGETHER NOW!? This is a really complex problem involving many different general physics topics, so please only answer if you know what you're doing...

A 5.0 kg block of ice at -1.5°C slides on a horizontal surface with a coefficient of kinetic friction equal to 0.072. The initial speed of the block is 6.3 m/s and its final speed is 5.5 m/s. Assuming that all the energy dissipated by kinetic friction goes into melting a small mass m of the ice, and that the rest of the ice block remains at -1.5°C, determine the value of m.
 
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