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.
ScanSolve AI Answer
Step 1: Calculate the mass of fresh water. Given: Volume of fresh water V_1 = 180 cm^3 Density of fresh water _1 = 1000 kg/m^3 First, convert the volume to cubic meters: V_1 = 180 cm^3 = 180 × (10^-2 m)^3 = 180 × 10^-6 m^3 Now, calculate the mass of fresh water (M_1 = _1 V_1): M_1 = 1000 kg/m^3 × 180 × 10^-6 m^3 M_1 = 0.180 kg Step 2: Calculate the mass of sea water. Given: Volume of sea water V_2 = 2800 cm^3 Density of sea water _2 = 1025 kg/m^3 First, convert the volume to cubic meters: V_2 = 2800 cm^3 = 2800 × (10^-2 m)^3 = 2800 × 10^-6 m^3 Now, calculate the mass of sea water (M_2 = _2 V_2): M_2 = 1025 kg/m^3 × 2800 × 10^-6 m^3 M_2 = 2.870 kg Step 3: Calculate the total mass and total volume of the mixture. Total mass M_total = M_1 + M_2: M_total = 0.180 kg + 2.870 kg M_total = 3.050 kg Total volume V_total = V_1 + V_2: V_total = 180 cm^3 + 2800 cm^3 V_total = 2980 cm^3 Convert total volume to cubic meters: V_total = 2980 × 10^-6 m^3 Step 4: Calculate the density of the mixture. Density of mixture _mix = M_totalV_total: _mix = 3.050 kg2980 × 10^-6 m^3 _mix = (3.050)/(0.002980) kg/m^3 _mix ≈ 1023.49 kg/m^3 The final answer is 1023.49 kg/m^3. --- 4. Explain why fish can survive under water. Fish can survive underwater because they possess specialized respiratory organs called gills. Gills are highly efficient at extracting dissolved oxygen from the water. Water contains oxygen in a dissolved state, which fish absorb as it passes over their gills. The gills have a large surface area and a rich blood supply, facilitating the efficient exchange of oxygen from the water into the fish's bloodstream and carbon dioxide from the blood into the water.