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Two identical lumps of ice collide head on. What must their speed be for their complete sublimation to take place as a result of an inelastic collision? The initial temperature is t_0=-30^@C. Radiative losses are to bo neglected.

Answer»


Solution :The increase of the internal energy of the SYSTEM is at the EXPENSE of the decrease of its kinetic energy. For an inelastic collision of two identical objects flying head on at equal speeds, `DELTAK= 2K_(0) = mv^2` .
The change in the internal energy is
`Deltaepsilon_0=2m(c_1Deltat_1+lamda+c_2Deltat_2+L)`
where `c_1`and `c_2`are the specific heats of ice and water, respectively, and
`Deltat_1=0^@-(-30^@)=30^@C,Deltat_2=100^@-0^@=100^@C`
Hence
`v=sqrt(2(c_1Deltat_1+lamda+c_2Deltat_2+L))`


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