An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A = 0.35 m2, and you may assume that his back is essentially flat. The gauge pressure of the water at the depth of the otter is P = 10500 Pa. a)Enter an expression for the magnitude of the force F on the back of the otter in terms of the gauge pressure P and the atmospheric pressure P0.  b)Solve for the magnitude of the force F, in newtons.

Given: A woman of m = 51 kg stands on the ice. The contact area between her skate and the ice is A = 0.0061 m2 Express the force that the person exerts on the ice, F, in terms of m and g. You do not need to include the force of the column of air above her.  Calculate the numerical value of F in N.  Express the pressure on the ice from the person P in terms of F and A.  Calculate the numerical value of P in Pa

a) Determine the total force and the absolute pressure on the bottom of a swimming pool 25.0 meters by 9.5 meters, whose uniform water depth is 2.0 meters. b) what will be the pressure against the side of the pool near the bottom?

A 1.2 m3 block aluminum (density 2700 kg/m3) is lowered into seawater (density 1025 kg/m3) by a cable attached to a ship.  A) What is the tension in the cable before the block hits the water if it is lowered at a constant rate?  B) What is the tension while the block is lowered at a constant rate in the seawater? C) Later the block is pulled back up by the cable. What is the tension in the cable if the block is pulled up with an acceleration of 3 m/s2? (Neglect resistance from the water)

You are designing a diving bell to withstand the pressure of seawater at a depth of 250 m . Part A) What is the gauge pressure at this depth? (You can ignore the small changes in the density of the water with depth.) Pgauge= ---------Pa Part B) At the 250 m depth, what is the net force due to the water outside and the air inside the bell on a circular glass window 40.0 cm in diameter if the pressure inside the diving bell equals the pressure at the surface of the water? (You may ignore the small variation in pressure over the surface of the window.) Fnet= ------N

A scientist is calculating the density of an ore sample. The scien- tist measures that the ore sample weighs 22.4 N in air. When the sample is suspended by a thin light cord and totally immersed in water, the tension in the cord is 14.2 N. What is the density of the ore sample that the scientist calculates. You can assume that any buoyant force from air is negligible.

the aqueous humor in a person's eye is exerting a force of 0.469 N on the 1.21 cm^2 area of the cornea  a) what pressure is this in mm Hg? b) is this value within the normal range for pressures in the eye? Yes or no

A liquid-filled tube called a manometer can be used to measure the pressure inside a container by comparing it to the atmospheric pressure and measuring the height of the liquid. Such a device (filled with water) is shown in the figure, measuring the pressure inside a balloon filled with an unknown gas. The water level on the side of the manometer which is open to the air is 22.3 cm higher than on the side connected to the balloon. a) Find the gauge pressure in the balloon, in units of Pa. Recall the density of water is 1000 kg/m3.  b) Find the absolute pressure in the balloon, in units of Pa.

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