Hot ball in cold water

Classical Mechanics Level 2

A metal ball with temperature \(80 ^\circ\text{C}\) is dropped in water with temperature \(30 ^\circ\text{C}\). The metal ball and water exchange heat with each other, and after a while both their temperatures become constant.

Assuming that no heat has been lost to or gained from the surroundings and the container, if the water temperature has been raised by \(10 ^\circ\text{C}\), what is the decrease in the temperature of the ball?

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