A body initially at `64^(@)C` cools to `52^(@)C` in 5 minutes. The temperature of surroundings is `16^(@)C` . Find the temperature after furthre 5 minutes.

Explanation

To solve the problem of finding the temperature of a body after it cools for an additional 5 minutes, we will apply Newton's Law of Cooling. Let's go through the solution step by step.

### Step 1: Understand the given data
- Initial temperature of the body, \( T_1 = 64^\circ C \)
- Temperature of the body after 5 minutes, \( T_2 = 52^\circ C \)
- Surrounding temperature, \( T_0 = 16^\circ C \)
- Time interval for the first cooling, \( t_1 = 5 \) minutes
- Time interval for the second cooling, \( t_2 = 5 \) minutes
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