Can anyone help me with questions number 31 in chapter 14.Your help would be gre

Question

Can anyone help me with questions number 31 in chapter 14.Your help would be greatly appreciated. (II) A 54.0 KG ice-skater moving at 6.4 m/s glides to astop. Assuming the ice is at 0degrees celsius and that 50% of theheat generated by friction is absorbed by the ice, how much icemelts? Can anyone help me with questions number 31 in chapter 14.Your help would be greatly appreciated. (II) A 54.0 KG ice-skater moving at 6.4 m/s glides to astop. Assuming the ice is at 0degrees celsius and that 50% of theheat generated by friction is absorbed by the ice, how much icemelts?

Explanation / Answer

Mass m = 54 kg

Speed v = 6.4 m / s

Initial kinetic energy K = ( 1/ 2) mv ^ 2

                                      = 1105.92 J

Heat generated by friction Q = K = 1105.92 J

Heat absorced by ice Q ‘ = Q / 2 = 552.96 J

Mass of ice melts m = Q ‘ / L

Where L = latent heat of fusion = 334.88 J /g

Plug it we get m = 1.651 g

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