Solving Transfer of Energy: Find Height Dropped for Bowling Ball

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Homework Help Overview

The problem involves a bowling ball dropped into a mixture of ice and water, with the goal of determining the height from which the ball was dropped based on the energy transfer that results in melting ice. The subject area includes concepts of potential energy and thermodynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the potential energy of the bowling ball using the formula PE=mgh but expresses uncertainty about the next steps. Some participants suggest calculating the energy required to melt the ice, while others inquire about the specific formula for this energy calculation.

Discussion Status

Participants are exploring different aspects of the problem, including the relationship between the energy from the bowling ball and the energy needed to melt the ice. Guidance has been offered regarding the enthalpy of fusion, but no consensus has been reached on the complete approach to the problem.

Contextual Notes

The discussion is constrained by the need to connect the potential energy of the bowling ball to the energy required to melt a specific mass of ice, with participants questioning the necessary formulas and concepts involved.

Renzokuken
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1. Homework Statement
An 11 kg bowling ball at 0 degrees C is dropped into a tub containing a mixture of ice and water. A short time later, when a new equilibrium has been established, there are 5.0 g less ice.
From what height was the ball dropped? Assume that no water or ice splashes out.




Homework Equations


PE=mgh

3. The Attempt at a Solution
PE=mgh=11*9.8*h=107.8h
I don't know what to do after this.
 
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You should find out how much energy it would take to melt 5 g of ice.
 
Is there a formula to find how much energy it takes for 5g of ice to melt?
 
You need to use the enthalpy of fusion. For water it is 6.0095 kJ/mol, or 333.55 kJ/kg
 

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