Show that the expression for the electric field of a charged disk showing in the equation below reduces to that of a point for Z>>R, where all symbols have their usual meanings.
σ/2εo[ 1= z/√z^2+R^2]
Angular Momentum
Solve the problems.
1. A small particle of mass 0.20 kg is being whirled in a horizontal circle at the end of a 20 m long string at a constant speed of 1.0 m/s. Determine ito angular momentum about its axis of rotation.
2. A bowling ball has a mans of 5.5 kg and a radius of 12.0 cm. It is released so that it rolls down the alley at a rate of 12 rev/s. Find the magnitude of its angular momentum
Moment of Inertia
Analyze and solve the given problem.
A system consists ( thin-hollowed sphere) of three email masses rotating at the same speed about the same fixed axis The masses and their radii of ratation are: 16 g at 256mm, 23 g at 192 mm and 31 g at 176 mm. Determine (a) the moment of inertia of the system about the given axis.
The nucleus of an atom of uranium - 238 has a radius of 6.8×10^-15m and carries a positive charge of Ze in which Z(=92) is the atomic number of uranium and e is the elementary charge, (1) What is the electric field at the surface of such a nucleus?, (2) In what direction does it point?, (3) Does it's numerical value surprise you?, (4) Explain your answer.
A particule leaves the origin with a speed of 3×10^6m/s at 35° to the x-axis, it moves in a constant electric field E=E,j. Find Ey such that the particle will cross the x-axis at x=15cm if the particle is (a) an electron (b) a proton
An electron moves in a circular orbit about a stationary proton, the centripetal force is provided by the electrostatic force of attraction between the proton and the electron, assuming that the electron has a kinetic energy of 3×10-18J, what is the speed of the electron and the radius of the orbit of the electron.
Calculate the angular velocity (in rad/s) of Venus about its axis of rotation.
Three towns A, B, C are situated such that /AB/=25km and /AC/=30km. The bearing of B from A is 56°and bearing of C from A is 282°. Calculate the bearing of B from C
Three towns A, B, C are situated such that /AB/=25km and /AC/=30km. The bearing of B from A is 56°and bearing of C from A is 282°. Calculate the distance /BC/
City A is 300km due east of City B. City C is 200km on a bearing of 123° from City B. How far is it from City C to City A?