A lead bullet just melts when stopped by an obstacle

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A lead bullet just melts when stopped by an obstacle. Assuming that 25 per cent of the heat is absorbed by the obstacle, find the velocity of the bullet if its initial temperature is 27∘C27^\circ\text{C} . (Melting point of lead = 327∘C327^\circ\text{C} , specific heat of lead = 0.03 calories/gm∘C0.03 \text{ calories/gm}^\circ\text{C} , latent heat of fusion of lead = 6 calories/gm6 \text{ calories/gm} , J=4.2 joules/calorieJ = 4.2 \text{ joules/calorie} ).

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