An ice block of mass 8 kg is dragged along a rough horizontal surface (=0.4) uniformly through 42 m. If all the heat produced is completely absorbed by block then mass of ice that melts is ( L= 80 cal/gm, g = 10m/s2)

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40 gm

4 kg

4gm

400 gm

answer is C.

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Detailed Solution

work done against frictional force = heat produced for meltingμMgs=JmL m is the mass of ice melt and L is the latent heat of fusion of ice 0.4×8×10×42=4200×m×80 m=4×10-3 kg=4 gm

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