Thermodynamics question thanks so much for the help

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SUMMARY

The discussion focuses on calculating the minimum speed of a hailstone at 0 degrees Celsius required to melt upon impact with the Earth's surface. The specific latent heat of fusion of ice is given as 340 kJ/kg. The relevant equations include the kinetic energy formula (Ek = 1/2 mv²) and the heat transfer equation (q = ML). The solution involves equating the kinetic energy of the hailstone to the thermal energy needed to melt the ice.

PREREQUISITES
  • Understanding of kinetic energy (Ek = 1/2 mv²)
  • Knowledge of specific latent heat of fusion
  • Familiarity with heat transfer equations (q = mcΔt)
  • Basic principles of thermodynamics
NEXT STEPS
  • Calculate the kinetic energy required to melt ice using the formula Ek = 1/2 mv²
  • Explore the concept of specific latent heat and its applications in thermodynamics
  • Investigate the relationship between kinetic energy and thermal energy transfer
  • Review examples of energy conservation in phase changes
USEFUL FOR

Students studying physics, particularly those focusing on thermodynamics and energy transfer concepts, as well as educators looking for practical examples of kinetic and thermal energy interactions.

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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