Thermodynamics question thanks so much for the help

AI Thread Summary
To determine the minimum speed of a hailstone that melts upon impact, the kinetic energy of the hailstone must equal the thermal energy required to melt the ice. The specific latent heat of fusion for ice is 340 kJ/kg, which indicates the energy needed to convert ice at 0 degrees Celsius to water at the same temperature. The relevant equations include the kinetic energy formula (Ek = 1/2 mv²) and the heat transfer equation (q = ML). By equating the kinetic energy to the latent heat required for melting, the minimum speed can be calculated. Understanding the heat of fusion is crucial as it defines the energy transfer necessary for the phase change from solid to liquid.
noah kessler
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Homework Statement


a small lump of ice at 0 degrees celsius falls to the Earth's surface. when the hailstone hist the surface, all of the kinetic energy of the hailsotne is transferred to thermal energy in the ice. calculate the minimum speed of the hailstone so that it just melts when it hits the surface.

specific latent heat of fusion of ice is 340kJ/ kg

Homework Equations


q=mcΔt
Ek=1/2mv2
q=ML

The Attempt at a Solution


not sure where to start
 
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What happens when a solid melts? What is the significance of the 'heat of fusion'?

noah kessler said:
when the hailstone hits the surface, all of the kinetic energy of the hailstone is transferred to thermal energy in the ice.
How does this statement relate to the above questions?
 
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