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kinetic energy in the drink increases
A calorie of heat energy is transferred from the ice to the water of the drink. Because ice absorbs heat from the drink, cooling down its temp.

Common mistake:

People think that ice producess coldness, when all its doing to the drink is absorbing the heat, causing the ice cube to melt ;)

You say that a calorie of heat energy is transferred from the ice to the water, but that is not entirely correct as a calorie is defined as the amount of heat that 1g of water releases when it cools by 1 degrees Celsius. What if i add a really small block of ice? Surely a calorie of heat will not be transferred from the ice to the water. Therefore it would be more correct to say that the total kinetic energy of the drink decreases.

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