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In April 2010, the worst oil spill until that time occurred when an explosion and fire on the Deepwater Horizon left 11 workers dead and began releasing oil into the Gulf of Mexico. One of the attempts to contain the spill involved pumping drilling mud into the well to balance the pressure of escaping oil against a column of fluid (drilling mud) having a density significantly higher than that of seawater and oil. For purposes of the following problems, you may assume seawater has a specific gravity of 1.03 and that the well head was 5053 ft below the surface of the Gulf.
(a) Estimate the gauge pressure (psig) in the Gulf at a depth of 5053 ft.
(b) Subsequent data indicate that the pressure inside the wellhead (defined here as being on the floor of the Gulf), was approximately 4400 psig. Suppose a drilling mud fills a pipe connecting the surface of the Gulf to the wellhead and balances that pressure. Estimate the specific gravity of the drilling mud.
(c) The drilling mud is a stable slurry of sea water and barite. What is the weight fraction of barite in the slurry?
(d) What would you expect to happen if the barite weight fraction was significantly less than that estimated in Part (c)?
A 12.0-{rm kg} box resting on a horizontal, frictionless surface is attached to a 5.00-{rm kg} weight by a thin, light wire that passes over a frictionless pulley). The pulley has the shape of a uniform solid disk of mass 2.40 {rm kg} and diameter 0...
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