A 6.20-kg steel ball at 19.4°C is dropped from a height of 11.2 m into an insulated container with 4.50 L of water at 10.1°C. If no water splashes, what is the final temperature of the water and steel? The specific heat of steel and water is 450 J/(kg-K) and 4186 J/(kg-K) respectively.

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**Problem Statement:**

A 6.20-kg steel ball at 19.4°C is dropped from a height of 11.2 m into an insulated container with 4.50 L of water at 10.1°C. If no water splashes, what is the final temperature of the water and steel? The specific heat of steel and water is 450 J/(kg·K) and 4186 J/(kg·K) respectively.

**Solution:**

- Calculate the initial potential energy of the steel ball.
- Use the principle of conservation of energy considering no loss: The potential energy lost by the steel equals the thermal energy gain by the system.
- Use the heat transfer formula: \( Q = mc\Delta T \).

**Note:** The graph or diagram provided contains only a fill-in box for the final temperature result, indicated by an empty box labeled "°C". No additional graph or diagram details are included in the image.
Transcribed Image Text:**Problem Statement:** A 6.20-kg steel ball at 19.4°C is dropped from a height of 11.2 m into an insulated container with 4.50 L of water at 10.1°C. If no water splashes, what is the final temperature of the water and steel? The specific heat of steel and water is 450 J/(kg·K) and 4186 J/(kg·K) respectively. **Solution:** - Calculate the initial potential energy of the steel ball. - Use the principle of conservation of energy considering no loss: The potential energy lost by the steel equals the thermal energy gain by the system. - Use the heat transfer formula: \( Q = mc\Delta T \). **Note:** The graph or diagram provided contains only a fill-in box for the final temperature result, indicated by an empty box labeled "°C". No additional graph or diagram details are included in the image.
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