What is the force of water at the Mariana Trench and the weight of a jetliner?

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SUMMARY

The discussion focuses on calculating the force exerted by water at the Mariana Trench and the weight of a jetliner. The Mariana Trench, located approximately 11,000 meters deep, exerts a force on an underwater vehicle's observation window using the formula F = p * g * h * π * r², where the density of seawater is 1025 kg/m³. The weight of a jetliner with a mass of 1.2 x 10^5 kg is determined using F = m * g. Additionally, the discussion touches on calculating the number of capillaries in the human body based on blood flow rates and cross-sectional areas.

PREREQUISITES
  • Understanding of fluid mechanics principles, specifically pressure and force calculations.
  • Familiarity with the formulas for pressure (P = p * g * h) and force (F = m * g).
  • Knowledge of cross-sectional area calculations (A = π * r²).
  • Basic concepts of blood flow and capillary dynamics in human physiology.
NEXT STEPS
  • Research the effects of pressure at extreme ocean depths, particularly in the Mariana Trench.
  • Learn about fluid dynamics and Bernoulli's principle in relation to blood flow in the human body.
  • Explore the calculation of flow rates in various biological systems, including the cardiovascular system.
  • Investigate the engineering challenges of designing underwater vehicles for deep-sea exploration.
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Students studying physics, engineers interested in fluid dynamics, medical professionals examining blood flow, and anyone involved in deep-sea exploration technology.

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I'm having a lot of trouble with fluids I need some help on these two questions :/

the mariana trench is located in the floor of the Pacific Ocean at a depth of about 11 000 m below the surface of the water. The density of seawater is 1025 kg/m^3.
if an underwater vehicle were to explore such a depth, what force would the water exert on the vehicles observation window (radius=.10m)?
For comparison, determine the weight of a jetliner whose mass is 1.2x10^5 kg

The aorta carries blood away from the heart at a speed of 40 cm/s and has a radius of 1.1cm. The aorta branches eventually into a large number of tiny capillaries that distribute the blood to various organs. In a capillary, the blood speed is about .07 cm/s and the radius is about 6x10^-4cm. Treat the blood as an incompressible fluid, and use these data to determine the approximate number of capillaries in the human body

any help please? thanks a lot!
 
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Ok... I am new to this forum but I noticed your post and thought I'd lent a hand. I am enrolled in Advanced Placement Physics at my high school and we already went over fluids so I think i can help.

For your first question:

P = p*g*h
P = F/A
A = pi*r^2
--so--
F=P*A
--and--
F=p*g*h*pi*r^2

and the other part:

F = ma
--so--
Fg = m*g

For the second question:

It is flow rate...

AV(before) = AV(after)
A = pi*r^2
--so--
pi*r^2*V = pi*r^2*V

since there are multiple capilaries...

r(of aorta)^2*V(of a.)
------------------------ (divided by) = Number of capilaries
r(of capilaries)^2*V(of c.)

Hope this helped
 

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