This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Here are the solutions to the specific heat capacity problems:
*Self-correction: Upon re-evaluating the problem, the heat lost by the metal (1100 J) is less than the heat gained by the calorimeter and stirrer alone (1800 J + 72 J = 1872 J) to reach 40°C from 22°C. This indicates that the final temperature of 40°C is not achievable with the given initial conditions and specific heat capacities, or there might be a typo in the problem's numerical values. Assuming the problem intends for a physically possible scenario, there might be an error in the provided temperatures or specific heat capacities. However, I will proceed with the given numbers
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1. Calorimetry Problem *Self-correction: Upon re-evaluating the problem, the heat lost by the metal (1100 J) is less than the heat gained by the calorimeter and stirrer alone (1800 J + 72 J = 1872 J) to reach 40°C from 22°C.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.