Question

Will the ice be melting under a skater whose mass is m=100 kg if the ice temperature is −5∘C ? Assume that the surface area of a skate that is in contact with the ice is equal to A=0.05 cm×20 cm and that the heat of melting is 6 kJ/mol. The density of ice is 0.9 g/cm3 and that of liquid water is 1 g/cm3.

Answer 1

Yes, the ice will melt under the skater with a mass of 100 kg.

Step-by-step explanation:

The ice will indeed melt under the skater. To determine if the ice will melt, we can calculate the amount of heat energy that needs to be transferred to melt the ice. We can use the equation Q = mLf, where Q is the heat necessary to melt 1.00 kg of ice, and Lf is the heat of melting. Given the mass of the skater (m = 100 kg) and the heat of melting (6 kJ/mol), we can calculate the amount of heat energy.

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