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1. An undersea research chamber is spherical with an external diameter of 5.60 m. The mass...

1. An undersea research chamber is spherical with an external diameter of 5.60 m. The mass of the chamber, when occupied, is 68400 kg. It is anchored to the sea bottom by a cable. The density of sea water is 1025 kg/m3. Calculate the following: (express your answers using appropriate mks units.)

(a) the buoyant force on the chamber

(b) the tension in the cable

2. A green brass block is placed on top of a 0.17 kg yellow styrofoam block (ρstyrofoam = 50 kg/m3) floating in water (ρwater = 1000 kg/m3) as shown below. Determine the mass of the brass block if the top of the styrofoam is exactly at the water's surface.

3. Water flows at 0.71 m/s through a pipe 18 cm in diameter when the pressure is 250,000 Pa. Determine the water velocity & the pressure in the pipe if it shrinks down to 5 cm in diameter. You can assume that the pipe is horizontal & ρwater = 1000 kg/m3.

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