Final answer:
To determine the final temperature of the system consisting of the two metal samples and the water, we use the principle of conservation of energy.
Step-by-step explanation:
To determine the final temperature of the system consisting of the two metal samples and the water, we can use the principle of conservation of energy. The heat lost by the metal samples is equal to the heat gained by the water. We can calculate the heat lost by the metal samples using the equation Q = mcΔt, where Q is the heat lost, m is the mass of the metal samples, c is the specific heat, and Δt is the change in temperature. We can then equate this to the heat gained by the water using the equation Q = mcΔt, where Q is the heat gained, m is the mass of the water, c is the specific heat of water, and Δt is the change in temperature. By solving these equations simultaneously, we can find the final temperature of the system.