3. In the illustration above yousee a tugboat in sea watertowing gravel in a barge that isapproximately rectangular inshape is 4 m wide and 10 mlong. When loaded, it sinks 2 min the water. a) Draw a sketch ofthe rectangular barge illustratingthe volume beneath thewaterline. b) Determine theweight of the gravel and bargerecalling that Archimedesprinciple states that weight of animmersed object is equal to theweight of the volume of waterdisplaced. The weight density ofseawater to be 10,094 N/m^3.Your answer

Approach to solving the question: Detailed explanation:Examples: Key references:

Answered: 3. In the illustration above you see a…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 30PQ

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Archimedes' principle can be used to calculate the density of a fluid as well as that of a solid. Suppose a chunk of iron with a mass of 390.0 g in air is found to have an apparent mass of 350.5 g when completely submerged in an unknown liquid. (a) What mass of fluid does the iron displace? (b) What is the volume of iron, using its density as given Table 14.1? (c) Calculate the fluid's density and identify it.
In an immersion measurement of a woman's density, she is found to have a mass of 62.0 kg in air an apparent mass of 0.0850 kg completely submerged with lungs empty. (a) What of water does she displace? (b) What is her volume? (c) Calculate her density. (d) If her lung capacity is 1.7S L, is she able to that without treading water with her lungs filled air?
What must be the contact area between a suction cup (completely evacuated) and a ceiling if the cup is to support the weight of an 80.0-kg student?
A man has a mass of 80 kg and a density of 955kg/m3 (excluding the air in his lungs). (a) Calculate his volume. (b) Find the buoyant force air exerts on him. (c) What the ratio of the buoyant force to his weight?
A trash compactor can compress its contents to 0.350 times their original volume. Neglecting mass of air expelled, by what factor is the density of be rubbish increased?
Fluid originally flows through a tube at a rate of 100 cm3/s. To illustrate the sensitivity of flow rate to various factors, calculate be new flow rate for following changes with all other factors remaining the same as in original conditions. (a) Pressure difference increases by a factor of 1.50. (b) A new fluid wit 3.00 times greater viscosity is substituted. (c) The tube is replaced by one having 4.00 times the length. (d) Another tube used with a 0.100 times the original. (e) Yet another tube is substituted with a radius 0.100 times the original and half length, and pressure difference is increased by factor of 1.50.
What fraction of ice is submerged when it floats in freshwater, given the density of water 0°C is very close to 1000 kg/m3?
Some have a density slightly less than that of water and must exert a force (swim) to stay submerged. What force must an 85.0-kg grouper exert to stay submerged salt water if its body density is 1015 kg/m3?
Is there a limit to the height to which an entrainment device can raise a fluid? Explain your answer.
A large tanker truck can carry 20 tons (40.000 lb) of liquid (a) What volume of water can it carry? (b) What volume of gasoline can it carry?
What pressure is exerted the bottom of a gas tank that is 0.500-m wide and 0.900-m long and can hold 50.0 kg of gasoline full?
Bird bones have air pockets to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone air and in water and finds its mass is 45.0 g ad its apparent mass when submerged is 3.60 g (assume the bone is watertight.)(a) What mass of is displaced? (b) What is the volume of the bone? (c) What is its average density?

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