Solving Transfer of Energy: Find Height Dropped for Bowling Ball

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To determine the height from which the bowling ball was dropped, the potential energy (PE) of the ball is calculated using the formula PE = mgh, where m is the mass (11 kg) and g is the acceleration due to gravity (9.8 m/s²). The energy required to melt 5 g of ice is also needed, which can be calculated using the enthalpy of fusion for ice, approximately 333.55 kJ/kg. The discussion emphasizes the need to equate the potential energy of the bowling ball to the energy required to melt the specified amount of ice. Participants are seeking guidance on how to proceed with the calculations after establishing the potential energy. Understanding both energy transformations is crucial for solving the problem.
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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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