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An electrical short cuts off all power to a submersible diving vehicle when it is 30 m below the surface of the ocean. The crew must push out a hatch of area 0.75 $\mathrm{m}^{2}$ and weight 300 $\mathrm{N}$ on the bottom to escape. If the pressure inside is 1.0 atm, what downward force must the crew exert on the hatch to open it?
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Physics 101 Mechanics
Chapter 13
Fluid Mechanics
Temperature and Heat
University of Washington
Simon Fraser University
Hope College
University of Sheffield
Lectures
03:45
In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases, plasmas and, to some extent, plastic solids.
09:49
A fluid is a substance that continually deforms (flows) under an applied shear stress. Fluids are a subset of the phases of matter and include liquids, gases and plasmas. Fluids display properties such as flow, pressure, and tension, which can be described with a fluid model. For example, liquids form a surface which exerts a force on other objects in contact with it, and is the basis for the forces of capillarity and cohesion. Fluids are a continuum (or "continuous" in some sense) which means that they cannot be strictly separated into separate pieces. However, there are theoretical limits to the divisibility of fluids. Fluids are in contrast to solids, which are able to sustain a shear stress with no tendency to continue deforming.
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Okay, so in this problem, we just want to calculate the force that a crew must exert on the hatch to open it. So let's see the force that the crew must exert needs to be quote the rusher times the area off the hatch miners his weight. But we must remember that pressure is Describe us intensity Time's ravages, deceleration times the death off the off the ship. So let's see. We can now describe the force us the force the crew must exert going to be equal hole g age times, the area minus. Do you wait? So that's completists. The density off the seawater is just one point 03 times 10 to the tree. They're multiplies the gravity, the separation, which is nine point 81 times dirty, which is the distance below the surface of the ocean times. The area off the hatch reaches just zero point 75 minus the weight of the hatch riches 300. So if we calculate this, we have a force that the group must exert equals two points 27 times 10 to the five Newtons. And that's the final answer to this problem. Thanks for watching
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