It so happens that an actual increase in weight is found even in the deepest mine shafts. What does this tell us about how Earth’s density changes with depth?

Many of the cities in Holland are below sea level, and the sea is held back by a series of levies, called dikes.  A story tells of a young Dutch boy named Hans Brinker, who was walking home along the dikes from school one day, and saw a small leak.  He realized this was a real problem, so he stuck his thumb in the hole and cried for help. Imagine that the hole is 10.0 feet (3.08 meters) beneath the level of the sea beyond.  How much pressure is being exerted at the hole? Hans’ thumb has a surface area of 0.895 square centimeters (Think: How many square centimeters in a square meter?).  How much force does he feel on his thumb?  Do you think that is a reasonable amount of force for a child to balance? Normally, to find the total pressure exerted, we’d have to add atmospheric pressure to the pressure exerted by the seawater.  Why do we not have to worry about that here? *Problems involving the buoyant force are Newton’s Second Law problems, and should be solved with the same process!*

If the same-sized force is made to act over four times more area, the pressure      decreases to 1/4th the original amount      increases to 4 times the original amount      stays the same as the original amount     increases to 1/4 the original amount

When a submarine dives underwater, the pressure gauge of the submarine showed that the absolute pressure in water just outside the submarine is 1,944,841 Pascal. At what depth underwater does the submarine dive?  Assume that the atmospheric pressure at the sea level that day is 101325 Pascal, the density of sea water is 1030 kg per cubic meter, and the acceleration due to gravity is 9.80 m/s2.

The circular porthole on a boat is 5 cm in radius and 1.3 m below the surface of a freshwater lake.  a) how much pressure does it feel?  b) how much force does it feel?

A submarine is on the ocean floor at a depth of d = 3520 meters. Calculate the water pressure at this depth is Pa?  The density of seawater is 1027 kg/m3. Use the earth's atmospheric pressure Patm in your calculation.

While swimming in a pool, you decide to swim to the bottom of the deep end, which is 3.5 m deep.  By how much has the pressure increased, in kPa?