Eat Lead

A lead bullet penetrates into a solid object and melts. Assuming that $50$ % of its kinetic energy was used to heat it, calculate the initial speed of the bullet.

The initial temperature of the bullet is $27^{o}C$ and its melting point is $327^{o}C$ .

1. Latent heat of fusion of lead $=$ $25000$ $\text{JKg}^{-1}$

2. Specific heat capacity of lead $=$ $125$ $\text{JKg}^{-1}\text{K}^{-1}$