Sliding Ice Block Homework: Calculate Mass of Ice Melted

AI Thread Summary
To calculate the mass of ice melted due to friction, the initial kinetic energy of the ice block must be equated to the heat generated by friction, which is absorbed by the ice. The formula used is 0.5 * m * v^2 = L * (mass of ice), where L is the latent heat of fusion for ice. The correct value for L_f is 334 kJ/kg, but the user is struggling to apply this correctly in their calculations. Suggestions for resolving the issue focus on ensuring the correct units and calculations are used. Properly applying the latent heat value will lead to the accurate determination of the mass of melted ice.
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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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