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 .



1514

Physics Measurements Level: High School

Walking beside you , your friend takes 50 strides per minute while you take 48 strides per minute . If you start in step , when will you be in step again ?



1513

Physics Waves And Oscillations Level: High School

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Doppler effect

Astronomers find that the light emitted by a particular element at one edge of the Sun has a slightly higher frequency than light from that element at the opposite edge . What do these measurements tell us about the Sun’s motion ?
This tells us about the rotation of Sun , The end which is moving towards us will emit a slightly higher frequency and the one which is moving away will have lower frequency according to Doppler effect .



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 ?



1510

Physics Waves And Oscillations Level: High School

A piano string with a length of 1.15 m and a mass of 20.0 g is under a tension of 6.30 x 10^3 N .

a) What is the fundamental frequency of the string when it is struck ?

b) What are the frequencies of the next two harmonics ?




1509

Physics Waves And Oscillations Level: High School

To stir a mixture of liquids consistently and gently , a biologist designs a simple mechanical system consisting of a horizontal spring attached to a beaker on the slippery . Teflon surface . She pours two liquids with a total mass of 100 g into the beaker ,which has a mass of 50.0 g . She then pulls on the beaker , stretching the spring . On releasing the beaker from rest (t =0) , she sets the system in motion with an amplitude of 5.00 cm . To avoid spilling and to promote gentle mixing , the frequency is designed to be exactly 0.300 Hz .

a) What is the required spring constant .

b) What is the displacement of the beaker from equilibrium at time t = 2.00 s ?




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 ?




1507

Physics Waves And Oscillations Level: High School

A boy in a boat rocks the boat 14 times in 28 s . The boat undergoes a total displacement (from lowest to highest position) of 0.14 cm on each side . The boy notices his waves hitting shore 20 m away in 25 s later .

a) What is the amplitude of the wave ?

b) What is the angular frequency ?

c) What is the wave speed and angular wave number (k) of the wave ?

d) What is the equation of the wave if the wave travels in the negative x direction ?

e) What is the displacement of the wave at x = 4 and t = 17 ?




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 ?




1505

Physics Rotational Mechanics Level: High School

A pulley of mass 1.8 and radius 3.7 cm hold 2 masses : mass A = 4.6 and mass B = 5.8 kg .

a) What is the rotational inertia of the pulley if it is a disk ?

b) What is the acceleration of this system if the pulley starts at rest and moves 29758.622 radians in 46 s ?

c) What is the tension in the cable holding mass A ?

d) What is the tension in the cable holding mass B ?


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