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can someone help me with this question and show all working so i can understand please Q1a) A barge is a type of boat that

can someone help me with this question and show all working so i can understand please

Q1a)

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A barge is a type of boat that is specifically designed to carry bulky and heavy cargo. One of the things that makes this type of boat different to others is the fact that it has a relatively flat bottom, rather than the 'pointed' hull (bottom of the boat) that most boats have. This design allows barges to travel through relatively shallow canals, where other boats would not be able to travel, as well as allow an ease of transition from the fresh water at ports, into the salt water of the ocean and back into the fresh water at the ports without being too worried about how much mass the cargo has. One of these barges is required to help unload a cargo ship just offshore (where the sea water has a density 1.03 x 10* kg/m'), as the cargo ship is too large to enter the canal leading to the port that it needs unload its cargo (where the fresh water has a density of 1.00 x 10' kg/m ). The dimensions of the barge's rectangular hull below the draft (the maximum allowable height of the water level from the bottom of the hull) are consistent and measure 55.0 m long, by 11.3 m wide, and the draft is 3.30 m. The cargo that the barge has been tasked to transport has a mass of 1.400 x 10* kg, and the barge itself has a mass of 5.00 x 10' kg. How much higher is the waterline to the draft of the barge once it pulls into the port, than it was after loading the cargo offshore? Give your answer in millimetres and to 3 significant figures.You are working out on a cattle station out bush and need to fill up your water bottle before continuing your day of fencing. The property has an open-air, gravity fed rainwater tank, so you grab your drink bottle and head over to it to fill it up. The tank is a standard, round, galvanised 30 kL tank that has a diameter of 3.5 m and is 3.1 m high, and it sits on a tank stand that is 1.4 m high. To make sure that the tank actually has water in it, you stretch your arm up and run your hand down the side of the metal tank to feel when the metal gets cooler. Because you know a little about thermodynamics, you know that this means that is where the water level is. You estimate the water level to be about 40 cm above the base of the tank. You put your 1.5 L water bottle up to the 20 mm diameter tap opening, where the centre of the tap opening is located 26 cm from the base of the tank and turn it on fully. How long does it take to fill your water bottle? Give your answer to 2 significant figures

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