1969

Physics Waves And Oscillations Level: High School

Two identical loudspeaker’s produce audible loudness levels 34 db apart . If one speakers sound intensity in (1.58)*(10 to the negative 10th power) W/(m to the 2nd power) . Calculate the loudness and sound intensity of the second loudspeaker .



1968

Physics Electrostatics Level: High School

Two identical point charges (Q = 3 micro C) are suited 60 cm apart on the y-axis equidistant from the origin . A 2 micro C point charge lies 40 cm on the “+” x-axis . What is the magnitude and direction of the net force on the 2 micro C charge ?



1967

Physics Electrostatics Level: High School

Consider a vertical parallel-plate capacitor with a system of two masses m1 = 15 g and m2 = 10 g suspended by threads as in the figure at ‘click here’ . The masses are charged with charges q1 = -3 micro C and q2 = +2 micro C . The electric field between the plates is E = 10^4 N/C and the system is in equilibrium . Denote theta 1 the angle made with the vertical by the thread connecting m1 , and denote theta 1 the angle made with the vertical by the thread connecting m2 to m1 .

a) Draw the free body diagrams for the two masses . Label the forces .

b) Write Newton’s 2nd Law for each free body diagram along the x and y directions. You will obtain 4 equations . Write the electric forces in terms of the field E .

c) Calculate the angle theta 1

d) Calculate the angle theta 2




1966

Physics Electrostatics Level: High School

The electric field at the Earth’s surface can increase to about 10^4 v/m under thunderclouds . Assume the clouds are 1.0 km above the Earth’s surface .

a) How large a potential difference between the ground does that imply ? Is that a voltage you want to experience personally ?

b) A set of lightning strokes can transfer as much as 50 coul of charge . How much energy in the form of heat , light , and sound is released in such a discharge ?




1965

Physics Electrostatics Level: High School

An electric field strength of about 3 x 10^6 volts / meter is needed to produce a spark in air . If placing your finger about 6.0 centimeters from the Van de Graff generator produce a spark , What electric potential difference (voltage) exists at this point ?



1964

Physics Electrostatics Level: High School

The gap between the electrodes in a automobile spark plug is about 1.0 millimeters . If the voltage produced between them is 12000 volts . What is the electric field strength in the gap ?



1963

Physics Electrostatics Level: High School

What is the potential difference between two points in an electric field if 6 x 10^-4 Joules of work is required to move a charge of 2 x 10^-5 coul against the field ?



1962

Physics Electrostatics Level: High School

The earth doe not have neutral charge ……. It’s stocked with lots of extra electrons . An electric field strength of about 100 N/coul (directed downward) exists as the surface of the earth . The radius of the earth is 6.4 x 10^6m .

a) How many coulombs of net charge does the earth possess ?

b) Because the earth is a conductor , most of the net charge is on the surface . Use the formula for the surface area of a sphere to find the average amount of net charge on each square meter of earth’s surface .




1961

Physics Electrostatics Level: High School

Electrons not only have charge ; they also have mass . So while they repel each other electrically , they attract each other gravitationally .

a) Calculate the repulsive electric force between two electrons placed 10^-10 m apart .

b) Calculate the attractive gravitational force between the same two electrons if the mass of an electron is 10^-30 kg .

c) Which force is greater ………. How many times greater ?




1960

Physics Electrostatics Level: High School

The charge on one electron is 1.6 x 10^-19 coulombs . How much total charge is there on :

a) one million electrons ?

b) one billion electrons ?

c) one trillion electrons ?

d) How many electrons are required to make 1 coulomb of charge ?




1959

Physics Electrostatics Level: High School

A van de Graff generator builds up a charge of 6 x 10^-5 coulombs . A second metal sphere Q2 of equal dimensions is touched by the generator . Then Q2 is touched by a third identical sphere Q3 . Calculate the electric force between Q3 and the generator if they are placed 50 cm apart .



1958

Physics Electrostatics Level: High School

Gauss’s Law

A sphere of radius R has total charge Q , The volume charge density (C/m^3) within the sphere is p(r) = C/r^2 , where C is a constant to be determined .

a) The charge within a small volume dV is dq = pdV . The integral of pdV over the entire volume of the sphere is the total charge Q. Use this fact to determine the constant C in terms of Q and R . (Hint : Let dV be a spheric shell of radius r and thickness dr . What is the volume of such a shell ?

b) Use Gauss’s law to find an expression for the electric field E inside the sphere , r <= R .

c) Does your expression have the expected value at the surface , r = R ? Explain .




1957

Physics Magnetism,Magnetic Effects Of Current Level: High School

Force on a moving charge

An electron enters a region with a uniform magnetic field perpendicular to its direction of motion . The magnitude of the magnetic field is 0.085 T . The electron has a mass of 9.1 x 10-31 kg . Its initial kinetic energy is 5.6 x 10-18 J . Electron moves in a circle .

a) What is the kinetic energy of the electron after 5.1 s ?

b) What is the initial direction of the magnetic force ? What is the magnitude of the magnetic force ?

c) What is the radius of the electron’s circular path ?




1956

Physics Electrostatics Level: High School

Gauss’ Law

A conducting sheet with a very large surface area has a thickness of 2.1 cm . Surface area is infinite . It has a uniform surface charge density of +1 e/cm2 on each of its faces . What is the direction and magnitude of the electric field 1.5 cm away from sheet ?



1955

Physics Magnetism,Magnetic Effects Of Current Level: High School

Force on a moving charge

a)A particle has charge of charge of +2e and mass of 2.54 x 10-25 kg , fixed at origin , what is the electric field ?

b) Proton has +e charge released 3.1 x 10-9 m away . Mass is 1.67 x 10-27 kg . What is the magnitude of the force on the proton ?


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