1520

Physics Properties Of Matter Level: High School

An ice cube , p = 917 kg/m^3 , is sliding down a frictionless incline as shown in the drawing at “click here ” . The sides of the cube each have a length of 0.75 m . What pressure does the cube exert on the incline ?



1519

Physics Properties Of Matter Level: High School

The average density of the material in intergalactic space is approximately 2.5*10^-27 kg/m^3 . What is the volume of a gold sample , p = 19300 kg/m^3 , that has the same mass as 8.0 *10^24 m^3 of intergalactic space ?



1518

Physics Properties Of Matter Level: High School

The density of mercury is 1.36 * 10^4 kg/m^3 . What is the mass of a 4.00 * 10^-4 – m^3 sample of mercury ?



1517

Physics Properties Of Matter Level: High School

Archimedes’s principle

A piece of wood is floating in water, but one third of its volume is under water . Find the density of the wood piece .



1516

Physics Properties Of Matter Level: High School

Gases

The pressure on an ideal gas is cut in half resulting in a decrease in temperature to 0542448 of original value and a change in the volume . Calculate the ratio of the final volume to the original volume of the gas .



1515

Physics Properties Of Matter Level: High School

The tire on a bike is filled with air to a gauge pressure of 691 kPa at 20 degrees C . What gauge pressure in the tire after a ride on a hot day when the tire air temperature is 73 degrees C ? (assume constant volume and a constant atmospheric pressure of 101.3 kPa ). Answer in units of kPa .



1512

Physics Properties Of Matter Level: High School

Equation of continuity

You have probably observed that a steady stream of water flowing out of a faucet gets smaller the farther it gets from the faucet . Why does this happen ?



1511

Physics Properties Of Matter Level: High School

Equation of continuity

High cholesterol in the blood can cause fatty deposits called plaques to form on the walls of the blood vessels . Suppose a plaque reduces the effective radius of an artery by 25% . By what percentage does this partial blockage affect the speed of the blood through the artery ?



1508

Physics Properties Of Matter Level: High School

Pascal’s law

A garage lift has input and output (lift) pistons with diameters of 10 cm and 30 cm , respectively . The lift is used to hold up a car with a weight of 1.4 x 10^4 N .

a) What force is applied to the top of the input piston ?

b) What is the force applied by the water column to the bottom of the input piston ?




1506

Physics Properties Of Matter Level: High School

Bernoulli’s law

An enclosed tank radius 4.0 m and height 11.6 m is used to store seawater for cooling a reactor . The air pressure at the top of the tank is 9.09 e5 PA and the pressure at the valve at the bottom of the tank is 4.04 e5 PA . The density of the seawater is 1025 kg/m3 .

a) What is the velocity of the seawater through the valve ?

b) The valve has a radius of 2.0 cm and the pipe past it has a radius of 3.7 cm . What is the velocity of the water in the pipe ?

c) What is the pressure inside the pipe ?




1503

Physics Properties Of Matter Level: High School

A collapsible plastic bag contains a glucose solution . If the average gauge pressure in the vein is 1.33 x 10^3 Pa , what must the minimum height of the bag in order to infuse glucose into the vein ? Assume the specific gravity of the solution is 1.02 .



1502

Physics Properties Of Matter Level: High School

Hooker’s law Young’s modulus

If the elastic limit of steel is 5.0 x 10^8 Pa , determine the minimum diameter a steel wire can have if it is to support a 70 kg circus performed without its elastic limit being exceeded .



1501

Physics Properties Of Matter Level: High School

Archimedes , Bernoulli’s Principle

What force on the plunger would be needed to push fluid into a vein where the gauge pressure is 17.8 mm-Hg ? Answer for the instant just before the fluid starts to move .

What force on the plunger would be needed to push fluid into a vein where the gauge pressure is 17.8 mm-

(a) How high should the pressure head be if water is to come from a faucet at a speed of 7.33 m/s ? Ignore viscosity .




1500

Physics Properties Of Matter Level: High School

A 2.47 N force is applied to the plunger of a hypodermic needle . If the diameter of the plunger is 1.11 cm and that of the needle 0.196 mm , with what force does the fluid leave the needle ?



1499

Physics Properties Of Matter Level: High School

Hydrostatic Pressure

Water at a gauge pressure of P = 3.77 atm at street level flows into an office building at a speed of 0.625 m/s through a pipe 5.19 cm in diameter . The pipes taper down to 2.78 cm in diameter by the top floor , h = 18.1 m above (see figure at “click here” ) Calculate the flow velocity and the gauge pressure in such a pipe on the top floor . Assume no branch pipes and ignore viscosity .

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