$A$ bullet of mass $m$ moving with a uniform velocity $v$ stops suddenly after hitting a target. If the whole mass melts,given the specific heat $S$,initial temperature $25^{\circ}C$,melting point $475^{\circ}C$,and latent heat $L$,then $v$ is given by:

• A
  $mL = mS(475 - 25) + \frac{1}{2} \cdot \frac{mv^2}{J}$
• B
  $mS(475 - 25) + mL = \frac{mv^2}{2J}$
• C
  $mS(475 - 25) + mL = \frac{mv^2}{J}$
• D
  $mS(475 - 25) - mL = \frac{mv^2}{2J}$