A lead bullet penetrates a solid object and melts

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

Problem

A lead bullet penetrates a solid object and melts. Assuming that 50% of its kinetic energy is used to heat it, calculate the initial speed of the bullet. The initial temperature of the bullet is 27∘C27^\circ\text{C} and its melting point is 327∘C327^\circ\text{C}. The latent heat of fusion of lead is 2.5×104 J kg−12.5\times10^4\text{ J kg}^{-1} and its specific heat capacity is 125 J kg−1K−1125\text{ J kg}^{-1}\text{K}^{-1}.

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