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23 Nov 2019

A swimming pool is 50 m long by 23 m wide and is less deep at one end than at the other. The depth at the shallow end is 1.20 m, and the depth at the deep end is 4.15 m. The slope is continuous (smooth) from one end to the other. What is the difference in pressure on the bottom at opposite ends of the pool?(expressed in Pa)

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Lelia Lubowitz
Lelia LubowitzLv2
23 Nov 2019

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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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http://edugen.wileyplus.com/edugen/courses/crs4957/art/qb/qu/c10/fig10_57.gif

The method by which the massive lintels (top stones) were lifted tothe top of the upright stones at Stonehenge has long been debated.One possible method was tested in a small Czech town. A concreteblock of mass 5930 kg was pulled up along two oak beams whose topsurfaces had been debarked and then lubricated with fat. The beamswere 10 m long, and each extended from the ground to the top of oneof the two upright pillars onto which the block was to be raised.The pillars were 3.9 m high; the coefficient of static frictionbetween block and beams was 0.22. The pull on the block was viaropes wrapped around it and around the top ends of two spruce logsof length 4.5 m. A platform was strung at the opposite end of eachlog.When enough workers sat or stood on a platform, the attachedspruce log would pivot about the top of its upright pillar and pullone end of the block a short distance up a beam. For each log, therope holding the block was approximately perpendicular to the log;the distance between the pivot point and the point where the ropewrapped around the log was 0.70 m. Assuming that each worker had amass of 85 kg, find the smallest number of workers needed on thetwo platforms so that the block begins to move up along the beams.(About half this number could actually move the block by movingfirst one end of it and then the other.)

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