Sliding Ice Block Homework: Calculate Mass of Ice Melted

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SUMMARY

The discussion focuses on calculating the mass of ice melted from a sliding block of ice due to friction. The initial mass of the ice block is 50.0 kg, starting at a speed of 5.72 m/s and coming to rest after traveling 21.37 m. The key equation used is 0.5 * (50.0 kg) * (5.72 m/s)^2 = L * (mass of ice), where L represents the latent heat of fusion for ice, which is 334 kJ/kg. The participant struggles to find the correct value for L and seeks assistance in solving the problem.

PREREQUISITES
  • Understanding of basic physics concepts such as kinetic energy and friction.
  • Familiarity with the latent heat of fusion, specifically L_f for ice.
  • Ability to manipulate and solve algebraic equations.
  • Knowledge of units of energy, particularly kJ/kg.
NEXT STEPS
  • Research the concept of kinetic energy and its relation to work done by friction.
  • Study the latent heat of fusion for various substances, focusing on ice.
  • Learn how to apply the work-energy principle in thermodynamic problems.
  • Explore practical applications of heat transfer in phase changes, particularly in ice melting scenarios.
USEFUL FOR

Students studying physics, particularly those focusing on thermodynamics and energy transfer, as well as educators looking for examples of real-world applications of these concepts.

sheri1987
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Homework Statement



A block of ice at 0°C whose mass initially is m = 50.0 kg slides along a horizontal surface, starting at a speed vo = 5.72 m/s and finally coming to rest after traveling a distance d = 21.37 m. Compute the mass of ice melted as a result of the friction between the block and the surface. (Assume that all the heat generated owing to friction goes into the block of ice.)

Homework Equations


.5(M initial)V^2 = L * (Mass of ice)
a=L*(mass of ice)

The Attempt at a Solution



.5(50.0)(5.72)^2 = L *(Mass of ice)
I have all of the information I need to plug numbers into the first equation & solve for mass of ice, yet I don't have L. L is the latent heat of ice, I know that much, but what value do I use.
 
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I believe that L_f for water is:

L_f=334 kJ/kg
 
I tried and I'm still not getting the right answer. Any suggestions?
 

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