Exam 13: Solids and Fluids

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Two wires of the same material are stretched by equal forces,but L1 = 2L2 and d1 = 2d2,where L and d are the lengths and diameters of the two wires.The ratio of the Young's modulii Y1/Y2 is

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A mass of 1000 kg is placed on top of a 2.000-m long,10.00-mm diameter vertical aluminum rod.If the bottom of the rod cannot move downward,what is the length of the rod when the mass is placed on top of it?

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Osteoporosis is a disease occurring especially in women after menopause in which the bones become very porous and as a result break easily with a fall or the application of even a small amount of force.Assume the breaking stress of a bone is 1.30 * 107 N/m2,the magnitude of the maximum force a disease femur bone 3-cm in average diameter could withstand is

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A single 8 * 11.5 inch sheet of paper is placed horizontally on a table.What is the approximate mass of all the air directly above the paper?

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What is the buoyant force on a 1.3 m3 helium balloon in air at standard conditions? The density of air is 1.3 kg/m3.

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A women's high-heeled shoe has an area of 0.5 cm2.Assuming that the woman wearing the shoe has a mass of 52 kg,and that all her weight momentarily rests on one heel,what is the pressure that the heel exerts on the floor?

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Icebergs have an average density of 920 kg/m3.Seawater has an average density of 1030 kg/m3.An iceberg floats in seawater.What percentage of the iceberg's volume is in the air above the surface of the seawater?

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Aluminum foil costs $3.88 for a 3.48 m2 sheet that has a thickness of 0.013 mm.If the density of aluminum is 2700 kg/m3,what is the cost of one atom of aluminum? The atomic mass number for aluminum is 26.98.

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A piston with a cross-sectional area of 30 cm2 and a volume of 160 cm3 can be pressured to a maximum gauge pressure of 10 atmospheres.What is the maximum force that the piston can deliver?

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During a recent thunderstorm the wind was blowing past your roof at 40 m/s (90 miles/hour).Assuming that the density of air is 1.20 kg/m3,the size of the roof is 10 m by 15 m,and the air under the roof was at rest,the net force experienced by the roof was

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An object is completely submerged in oil with specific gravity 0.7.Which statement below is correct?

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A 3.3-m long wire with a cross sectional area of 4.7 * 10-5 m2 is stretched 8.3 * 10-4 m by a force of 234 N.What is Young's modulus for this material?

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How much greater is the pressure (in Pa)at a depth of 100 m in the ocean than at the surface? (specific gravity ocean water = 1.13)

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Two wires of the same material are stretched by equal forces,but L1 = 2L2 and d1 = 2d2,where L and d are the lengths and diameters of the two wires.The ratio of the change in lengths Two wires of the same material are stretched by equal forces,but L<sub>1</sub> = 2L<sub>2</sub> and d<sub>1</sub> = 2d<sub>2</sub>,where L and d are the lengths and diameters of the two wires.The ratio of the change in lengths   is is

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A supertanker filled with oil has a total mass of 12.5 * 108 kg.If the dimensions of the ship are those of a rectangular box 300 meters long,60 meters wide,and 60 meters high,determine how far the bottom of the ship is below sea level.( ρ\rho sea = 1020 kg/m3)

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If the radius of your head (treated as a cylinder)is 7.0 cm,what is the force exerted by air pressure on the top of your head? Assume standard pressure of 101.5 kPa.

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A glass is initially filled with 155 cm3 water plus 85 cm3 of ice so that the water level is exactly at the rim of the glass,with some of the ice sticking out above the rim.After all of the ice has melted and turned into water,

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A piece of aluminum is 13 cm long and when subject to a compressional force of 540 N,compresses by 0.13 mm.What is its area in mm2? Young's modulus for Aluminum is 7.0 * 1010 Pa.

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In 1964 the freighter Al Kuwait (mass 2.02 * 106 kg)sank in Kuwait harbor.It was re-floated by filling its hull with polystyrene beads.If the density of sea water is 1025 kg/m3,the density of the beads was 28.0 kg/m3,and 30 million beads were required,what was the average volume of one of the beads? Ignore the buoyant force of the steel in the ship.

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How deeply would one have to dive into a pool of mercury (density = 13.59 g/cm3)to experience a pressure of 10 atm (1 atm = 1.01 * 105 Pa)?

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