Question

Superman wants to melt a lead pellet just by throwing it. If all the initial mechanical energy (kinetic energy) of the pellet is converted to heat and that no heat flows from the bullet to its surroundings. If the melting point of lead (Pb) is 327.3 $^\circ$C, the latent heat of fusion for lead (Pb) is 245 \cdot 10^2 J \cdot kg^{-1}, and the heat capacity of lead (Pb) is 1.30 \cdot 10^2 J \cdot kg^{-1} \cdot K^{-1} What must the initial speed of the lead pellet be when Superman throws it at 25.0 $^\circ$C so that the heat developed when it is brought to rest will be just sufficient to melt it?

          Superman wants to melt a lead pellet just by throwing it.
If all the initial mechanical energy (kinetic energy) of the pellet is converted
to heat and that no heat flows from the bullet to its surroundings.
If the melting point of lead (Pb) is 327.3 $^\circ$C,
the latent heat of fusion for lead (Pb) is 245 \cdot 10^2 J \cdot kg^{-1}, and
the heat capacity of lead (Pb) is 1.30 \cdot 10^2 J \cdot kg^{-1} \cdot K^{-1}
What must the initial speed of the lead pellet be when Superman throws
it at 25.0 $^\circ$C so that the heat developed when it is brought to rest will be
just sufficient to melt it?

Superman wants to melt a lead pellet just by throwing it.
If all the initial mechanical energy (kinetic energy) of the pellet is converted
to heat and that no heat flows from the bullet to its surroundings.
If the melting point of lead (Pb) is 327.3 ^∘C,
the latent heat of fusion for lead (Pb) is 245 ·10^2 J ·kg^-1, and
the heat capacity of lead (Pb) is 1.30 ·10^2 J ·kg^-1 ·K^-1
What must the initial speed of the lead pellet be when Superman throws
it at 25.0 ^∘C so that the heat developed when it is brought to rest will be
just sufficient to melt it?

Added by Jason N.

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