A lead bullet penetrates into a solid object and melts Assuming that `50%` of its K.E. was used to heat it , calculate the initial speed of the bullet , The initial temp , of bullet is `27^(@)c` and its melting point is `327^(@)C` Latent heat of fasion of lead ` = 2.5 xx 10^(4) J kg^(-1)` and sp heat capacity of lead `= 125 J kg^(-1) K^(-1)`

Explanation

To solve the problem, we need to calculate the initial speed of the lead bullet that penetrates into a solid object and melts. We will use the given data and apply the principles of calorimetry and kinetic energy.

### Step-by-Step Solution:

1. **Identify the Given Data:**
- Initial temperature of the bullet, \( T_i = 27^\circ C \)
- Melting point of lead, \( T_m = 327^\circ C \)
- Latent heat of fusion of lead, \( L = 2.5 \times 10^4 \, \text{J/kg} \)
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