Physics Properties Of Matter Level: High School
Equation of Continuity
An arteriole has a diameter of 0.028 mm and carries at the rate of 5.9 10-6 cm3/s .(a) What is the speed of the blood in the arteriole ?
(b) Suppose the arteriole branches into 340 capillaries , each with a diameter of 4.0 10-6 m . What is the blood speed in the capillaries ?( The low speed in capillaries promotes the diffusion of materials to and from the blood . )
Physics Properties Of Matter Level: High School
Archimedes Principle
A person with a mass of 65 kg and volume of 0.069 m3 floats quietly in water .(a) What is the volume of the person that is above water ?
(b) If an upward force F is applied to the person , the volume above water increases by 0.0014 m3 . Find the force F .
Physics Properties Of Matter Level: High School
Liquid
You need to siphon water from a clogged sink . The sink has an area of 0.371 m^2 and is filled to a height of h = 3.94 cm . Your siphon tube rises h1 = 55.9 cm above the water in the sink and then descends h2 = 116 cm to a pail as seen in the figure below at “click here” . The siphon tube has a diameter of 2.13 cm . Assuming that the water enters the siphon tube with almost zero velocity , calculate its velocity when it enters the pail .
Physics Properties Of Matter Level: High School
Liquids
Water is flowing in a straight horizontal pipe of variable cross section . Where the cross-sectional area of the pipe is 2.30 10^-2 m^2 , the pressure is 5.30 . 10^5 Pa and the velocity is 0.760 m/s .(a) In a constricted region where the area is 16.30 . 10^-4 m^2 , what is the velocity ?
(b) What is the pressure (in Pa) ? (Assuming an ideal fluid)
Physics Properties Of Matter Level: High School
Liquids
A 3/8 in . (inside) diameter garden hose is used to fill a round swimming pool 7.52 m in diameter . How many days will it take to fill the pool to a depth of 1.06 m if water issues from the hose at a speed of 0.216 m/s ?
Physics Properties Of Matter Level: High School
What is the lift (in newtons)due to Bernoulli’s principle on a wing of area 80.2 m^2 if the air passes over the top and bottom surfaces at speeds of 365 m/s and 266 m/s , respectively ?
Physics Properties Of Matter Level: High School
Liquids
A 1.14 kg hollow ball with a radius of 0.127 m , filled with air , is released from rest at the bottom of a 2.11 m deep pool of water . How high above the water does the ball shoot upward ? Neglect all frictional effects , and neglect the balls motion when it is only partially submerged .
Physics Properties Of Matter Level: High School
Liquid
The figure which is shown at “click here” are six containers that contain various liquids . Blocks of various solids are suspended in the liquids by being hung from a string . All of these blocks are the same size , but they have different masses (labeled as M_b)since they are made of different materials . All of the containers have the same volume of liquid , but the masses of these liquids vary(labeled M_1) since the liquids are different . Specific values for the masses of the blocks and the liquids are given in each figure .Note: The volume of the blocks is one-fifth the volume of the liquids .
Which of the following statement are true about the situations depicted in the figure?True or false – The block in picture A experiences a greater buoyant force than the block in picture C .
True or false – If the string is cut , the block in picture A would sink
True or false – All the blocks displace the same mass of liquid
True or false – The block in picture A displaces less volume of liquid than the block in picture F .
True or false –In picture A , the density of the block is equal to the density of the liquid .
Physics Properties Of Matter Level: High School
Liquid
A hollow copper tube (diameter = 4.68 cm) is sealed at one end and loaded with lead shot to give a total mass of 0.184 kg . When the tube is floated in pure water , what is the depth , z , of its bottom end ?
Physics Properties Of Matter Level: High School
Liquid
A spherical shaped balloon has a radius of 8.06 m, and is filled with helium . How large a cargo can it lift , assuming that the skin and the structure of the balloon have a mass of 856 kg ? Neglect the buoyant force on the cargo volume itself .
Physics Properties Of Matter Level: High School
Liquid
A 2.94 kg piece of wood (specific gravity = 0.50)floats on water . What minimum mass of iron, hung form it by a string , will cause it to sink ?
Physics Properties Of Matter Level: High School
Liquid
A light spring of constant k = 172 N/m rests vertically on the bottom of a large breaker of water . An m = 4.96 kg block of wood (density = 640 kg/m^3) is connected to the spring and the mass-spring system is allowed to come to static equilibrium (b) . What is the elongation . DeltaL , of the spring ?
Physics Properties Of Matter Level: High School
A process vessel , illustrated in figure at “click here” , is circular in cross-section with a diameter D of 2m and a tangent height h of 3 m and is fitted with hemispherical ends . The vessel has a total mass when empty of 2 tonnes . This vessel is hung from four hollow support legs , each circular is cross-section . With an outside diameter d of 0.1 m and length I of 2.5 m . As part of commissioning of the vessel it is to be hydraulically tested which entails completely filling it with water.(i) Neglecting the mass of the support legs themselves , calculate the thickness of the walls of the support legs such that the tensile stress in the walls of the support legs wall does not exceed 50 MPa during the hydraulic test .
(ii)What is the vertical displacement of the vessel due to the tensile strain in the legs whilst it is being filled with water for the hydraulic test ?
Physics Properties Of Matter Level: High School
Liquids
(i) Show that the excess pressure , delta P , inside a gas bubble , radius r , immersed in a liquid due to surface tension , y , is given by delta P = 2y/r .
(ii)A bubble 0.8 mm in a diameter is at a depth of 0.35 m below the surface of a liquid , density 850 kg m^-3 . The pressure above the surface of the liquid is 0.1 bar . Using a value of 55 x 10^-3 Nm^-1 for surface tension , calculate the total pressure inside the bubble .
(iii) The bubble rises to the surface . Estimate its diameter as it reaches the surface .
Physics Properties Of Matter Level: High School
Bernoulli’s theorem
A horizontal pipe , 10 cm in diameter , has a smooth reduction to a pipe 5 cm in diameter . If the pressure of the water in the larger pipe is 8.00 10^4 Pa and the pressure in the smaller pipe is 6.00 10^4 Pa. What is the flow speed of the water (in m/s) in the smaller pipe ?