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1. The weight of a rectangular block of low-density material is 15.0 N. With a thin string, the center of the horizontal bottom face of

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1. The weight of a rectangular block of low-density material is 15.0 N. With a thin string, the center of the horizontal bottom face of the block is tied to the bottom of a beaker partially filled with water. When 25.0% of the block's volume is submerged, the tension in the string is 10.0 N. (a) Find the buoyant force on the block. (25 N) (b) Oil of density 800 ky'm is now steadily added to the beaker, forming a layer above the water and surrounding the block. The string breaks when its tension reaches 60.0 N. At this moment, 25.0% of the block's volume is still below the water line. What additional fraction of the block's volume is below the top surface of the oil? (5/8) 2. An open-top cylindrical container of radius R. = 100 cm is initially filled up with water of height hy = 1.30 m, and a layer of oil (insoluble to water) of height he = 0.85 m on top of the water. The density of oil is 0.75 times of the density of water. A faucet of diameter 1.20 cm has been punched near the bottom of the container. (e) What is the speed of the water flowing out of the faucet when the remaining height of the water is y (y

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