1489

Physics Properties Of Matter Level: High School

Bernoulli’s Principle

a)Use Bernoulli’s equation to estimate the upward force on an airplane’s wing if the average flow speed is 193 m/s above the wing and 162 m/s below the wing . The density of the air is 1.2 kg/m^3 and the area of each wing surface is 25 m^2 .

b) Is the force upward or downward ?




1488

Physics Properties Of Matter Level: High School

Equation of Continuity

A nozzle of inner radius 1.05 mm is connected to a hose of inner radius 7.95 mm . The nozzle shoots out water moving at 25.4 m/s . a) At what speed is the water in the hose moving ? b) What is the volume flow rate ? c) What is the mass flow rate ?



1487

Physics Properties Of Matter Level: High School

Archimedes’s Principle

A piece of metal is released under water . The volume of the metal is 60.7 cm^3 and its specific gravity is 4.6 . What is its initial acceleration ? ( Note : When v = 0 , there is no drag force )



1486

Physics Properties Of Matter Level: High School

Archimedes’s Principle

a) What is the buoyant force on 0.70 kg of ice floating freely in liquid water ?

b) What is the buoyant force on 0.70 kg of ice that is held completely submerged under water ?




1485

Physics Properties Of Matter Level: High School

Estimate the average blood pressure in a person’s foot , if the foot is 1.38 m below the aorta , where the average blood pressure is 105 mm Hg . For the purposes of this estimate , assume the blood isn’t flowing .



1484

Physics Properties Of Matter Level: High School

A manometer using oil (density 0.89 g/cm^3) as a fluid is connected to an air tank . Suddenly the pressure in the tank increases by 0.77 cm Hg .

a) By how much does the fluid level rise in the side of the manometer that is open to the atmosphere ?

b) What would your answer be if the manometer used mercury (Hg = 13.6 g/cm^3 ) instead ?




1483

Physics Properties Of Matter Level: High School

The density of platinum is 21500 kg/m^3 . Find the volume of 1.47 kg of platinum and compare it to the volume of 1.47 kg of aluminum .



1482

Physics Properties Of Matter Level: High School

Hydrostatic Pressure

At the surface of a freshwater lake the pressure is 102 Pa

a) What is the pressure increase in going 35.2 m below the surface ?

b) What is the approximate pressure decrease in going 37 m above the surface ? Air at 20 degree C has density of 1.2 kg/m^3 .




1481

Physics Properties Of Matter Level: High School

Pascal’s Law

Depressing the brake pedal in a car pushes on a piston with cross-sectional area 2.3 cm^2 . The piston applies pressure to the brake fluid ,which is connected to two pistons . each with area 12.3 cm^2 . Each of these pistons presses a brake pad against one side of a rotor attached to one of the rotating wheels (see the figure at “click here”)

a) When the force applied by the brake pedal to the small pistons is 7.9 N , What is the normal force applied to each side of the rotor ?

b) If the coefficient of kinetic friction between a brake pad and a rotor is 0.79 and each pad is (on average) 12 cm from the rotation axis of the rotor , What is the torque on the rotor due to the two pads ?




1480

Physics Properties Of Matter Level: High School

Pascal’s Law

In a hydraulic lift , the diameter of the pistons of are 4.95 cm and 20.2 cm . A car weighing W = 10.1 kN is to lifted by the force of the large piston .

a) What force Fa must be applied to the small piston ?

b) When the small piston is pushed in by 10.3 cm , how far is the car lifted ?

c) Find the mechanical advantage of the lift , which is the ratio W/Fa .




1479

Physics Properties Of Matter Level: High School

An experiment to determine the specific heat of a gas makes use of a water manometer attached to a flask . Initially the two columns of water are even . Suppose that atmospheric pressure is 1.2 10^5 Pa . After heating the gas , the water levels change to those . Find the change in pressure of the gas in Pa .



1478

Physics Properties Of Matter Level: High School

Estimate the average blood pressure in a person’s foot , if the foot is 1.38 m below the aorta , where the average blood pressure is 107 mm Hg . For the purpose of this estimate , assume the blood isn’t flowing .



1477

Physics Properties Of Matter Level: High School

Archimedes Principle

A block of wood floats in oil with 87.9% of its volume submerged . What is the density of the oil ? The density of the block of wood is 0.68 g/cm^3 .



1476

Physics Properties Of Matter Level: High School

Bernoulli’s Principle

An airplane flies on a level path . There is a pressure difference of 520 Pa between the lower and upper surface of the wings . The area of each wing surface is about 170 m^2 . The air moves below the wings at a speed of 80.1 m/s .

a) Estimate the weight of the plane .

b) Estimate the air speed above the wings .




1475

Physics Properties Of Matter Level: High School

Archimede’s Principle

An aluminum cylinder weighs 1.01 N , When this same cylinder is completely submerged in alcohol , the volume of the displaced alcohol is 3.90 10^-5 m^3 . The apparent weight of the cylinder when completely submerged is 0.740 N . What is the specific gravity of the alcohol ?

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