The deepest point in the ocean is in the Mariana Trench, about 11 km deep, in the Pacific. The pressure at this depth is huge, about 1.13 3 108 N/m2.
(a) Calculate the change in volume of 1.00 m3 of seawater carried from the surface to this deepest point.
(b) The density of seawater at the surface is 1.03 3 103 kg/m3. Find its density at the bottom.
(c) Explain whether or when it is a good approximation to think of water as incompressible.
a) the change in volume
b) B is the bulk modules of sea water is as follows:
c) Bulk modules are familiar to us.
In the surface pressure is
In the depth pressure is
B is the bulk modules of sea water is as follows:
Bulk modules are familiar to us.
In the cabin of a ship, a soda can rests in a saucer-shaped indentation in a built-in counter. The can tilts as the ship slowly rolls. In which case is the can most stable against tipping over? (a) It is most stable when it is full. (b) It is most stable when it is half full. (c) It is most stable when it is empty. (d) It is most stable in two of these cases. (e) It is equally stable in all cases.
A stepladder of negligible weight is constructed as shown in Figure P12.56, with A C=B C= . A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find
(a) the tension in the horizontal bar D E connecting the two halves of the ladder,
(b) the normal forces at A and B, and
(c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately.
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