A ball of volume 11.1 m³ is placed in a container of fluid of density 947 kg/m³. Calculate the density of the object, if it floats and 8.4 m3 of it is submerged in the fluid. %3D

A U-shaped tube, open to the air on both ends, contains mercury. Water is poured into the left arm until the water column is 17.4 cm deep. How far upward from its initial position does the mercury in the right arm rise? Express the change in mercury level in mm

The water of a 14’ × 48’ metal frame pool can drain from the pool through an opening at the side of the pool. The opening is about h = 1.11 m below the water level. The capacity of the pool is V = 3880 gallons, the pool can be drained in t = 10.2 mins. P0 is the pressure of the atmosphere. ρ is the density of the water. a) Write the Bernoulli’s equation of the water at the top of the pool in terms of P0, ρ, h. Assuming the opening is the origin.  b) Write the Bernoulli’s equation of the water at the opening of the pool in terms of P0, ρ, h and v, where v is the speed at which the water leaves the opening. Assuming the opening is the origin.  c) Express the flow rate of the water in terms of V and t.  d) Calculate the numerical value of A in cm2

A jet of water squirts out horizontally from a hole near the bottom of the tank, as seen in the figure. +--00 Y X = 1.80 m. Assume that x = 1.24 m and y What is the speed of the water coming out of the hole? If the hole has a diameter of 3.96 mm, then what is the height, h, of the water level in the tank?

What volume of water is displaced by a submerged 2.0-kg cylinder made of solid aluminum? (aluminum density 2.7 x 103 kg/m and water density = 1.0 x 10' kg/m³) %3D

A narrow tube is sealed onto a tank as shown in the figure. The base has an area of 90 cm2. a. Find the force on the bottom of the tank due to oil when the tank and capillary are filled with oil (p=0.72 g/cm3) to the height h1. b. Find the force on the bottom of the tank and capillary are filled with water to the height h2.

A rock displaces 0.6 m3 when it is fully submerged in WATER (D = 1 kg/L). What is the volume of the rock? Express your answer using appropriate mks units.

In a total-immersion measurement of a woman’s density, she is found to have a mass of 63.5 kg in air and an apparent mass of 0.0875 kg when completely submerged with lungs almost totally empty. a. What mass, in kilograms, of water does she displace?  b. What is her volume, in cubic meters?  c.  Calculate her average density, in kilograms per cubic meter.  d.  If her lung capacity is 1.75 L, is she able to float without treading water with her lungs filled with air? Assume the density of air is 1.29 kg/m3.

3. As shown in the figure, a container has a vertical tube, whose inner radius is 32.00 mm, connected to it at its side. An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B. The liquid supports a 20.0-cm high column of oil, between levels B and C, whose density is 460 kg/m3. What is the density of the unknown liquid? 20.0 cm 50 cm V a with arms of unequal areas,

5. A large container, 118 cm deep is filled with water. If a small hole is punched in its side 89.0 cm from the top, at what initial speed will the water flow from the hole? m/s ceil6 ceil cci16 ceil6 c