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
To calculate the mass of the tank when full of fuel, we need to find the mass of the fuel and add it to the mass of the empty tank. Step 1: Convert the volume of the tank to cubic meters. The volume of the tank is V = 60 litres. Since 1 litre = 0.001 m^3: V = 60 × 0.001 m^3 = 0.06 m^3 Step 2: Calculate the density of the fuel. The relative density of the fuel is 0.72. The density of water (_water) is 1000 kg/m^3. Relative density is defined as the ratio of the density of a substance to the density of water: RD_fuel = _fuel_water So, the density of the fuel (_fuel) is: _fuel = RD_fuel × _water _fuel = 0.72 × 1000 kg/m^3 _fuel = 720 kg/m^3 Step 3: Calculate the mass of the fuel. The mass of the fuel (m_fuel) is its density multiplied by its volume: m_fuel = _fuel × V m_fuel = 720 kg/m^3 × 0.06 m^3 m_fuel = 43.2 kg Step 4: Calculate the total mass of the tank when full. The mass of the empty tank (m_empty) is 10 kg. The mass of the tank when full (m_full) is the sum of the mass of the empty tank and the mass of the fuel: m_full = m_empty + m_fuel m_full = 10 kg + 43.2 kg m_full = 53.2 kg The final answer is 53.2 kg.