A Metal Has a Latent Heat of Fusion Of $2.32 \times 10 ^ { 4 } \mathrm {~J} / \mathrm { kg } _ { 1 }$

Multiple Choice

A metal has a latent heat of fusion of $2.32 \times 10 ^ { 4 } \mathrm {~J} / \mathrm { kg } _ { 1 }$ a specific heat of $128 \mathrm {~J} / \mathrm { kg } \cdot \mathrm { K } _ { \mathrm { r } }$ and a melting point of $228 ^ { \circ } \mathrm { C } \text {. }$ A 30-g pellet of this metal at $16 ^ { \circ } \mathrm { C }$ hits a solid wall and comes to a complete stop. What would the speed of the pellet have to be in order for it to melt completely when it hits the wall, assuming that all of its kinetic energy is transformed into heat within the pellet?

A) 317 m/s
B) 232 m/s
C) 215 m/s
D) 273 m/s
E) 207 m/s