A solid conducting sphere of radius 2.4 cm has a charge of 23 nC distributed uniformly over its surface. Let A be a point 1.8 cm from the center of the sphere, S be a point on the surface of the sphere, and B be a point 5.4 cm from the center of the sphere. What are the electric potential differences (a)VS – VB and (b)VA – VB?

A 4600 kg lunar lander is in orbit 40 km above the surface of the moon. It needs to move out to a 280 km high orbit in order to link up with the mother ship that will take the astronauts home. How much work must the thrusters do?

The motion of Halley’s comet and its motion. Halley’s comet travels in an elliptical orbit of eccentricity ϵ = 0.97 around the Sun. At perihelion (closest approach), Halley’s comet is observed to be approximately 0.59 AU from the Sun. At aphelion the distance is about 35.08 AU, the semi-major axis of the elliptical orbit is 17.83 AU, and the orbital period is about 75.3 Earth years.

1) Since Earth has an essentially circular orbit that is 1 AU from the Sun. Use any approach that you like to determine the Earth’s orbital speed is v_E = sqrt(GM_S/R_E) and then determine a numerical value in kilometers/second.

2) Use the perihelion, aphelion, semi-major axis, and period above for Halley’s comet to determine the value of the characteristic length, r_c, that describes the elliptical orbital path, r(φ), for Halley’s comet.

3) Use the definition of r_c to estimate the speed of Halley’s comet at perihelion. Write the result in symbolic first, which should look like the result in part 1, then write it as the result from part (a) and appropriate ratios to estimate the numerical value of Halley’s comet’s speed at perihelion.

Question 1: (a) Explain about two characteristic lengths in the theoretical and experimental investigations of superconductivity (Drawing is necessary), One of the distinguishing aspect of Type I and Type II is the relative value of two characteristic lengths: (b) what is name of this theory? (c) According to this theory, what is the criterion value to determine Type I or Type II?

Discuss the dark energy. Give reasons for your answer and list the pros and cons of your choice.

For an internal spring force collision, what do you think would be the effext of system momentum if you hit the trigger at a slight angle instead of straight down? Explain why striking angle makes a difference (in terms of internal and external forces)

In this simulation, you can examine the magnetic field created by the current in a solenoid, which is a cylindrical coil of wire. Instead of using a spiral-shaped coil, the simulation approximates the coil with a stack of seven single loops. The plane of each loop is parallel to the x-z plane, with a radius of either 60 cm or 25 cm, and the displayed field is in the x-y plane.

The parallel-plate capacitor is the standard way to create a uniform electric field, while a current-carrying solenoid is a great way to create a uniform magnetic field, although the electric field is only perfectly uniform in the ideal case when the plates are infinitely large and the magnetic field is only perfectly uniform in the ideal case when the solenoid is made from closely packed loops that extend to infinity in the direction parallel to the axis of the solenoid.

(a) Which of the following statements correctly compare the ideal parallel-plate capacitor to the ideal solenoid? Select all that apply.

A stellar object that is at a great distance emits a stream of matter at velocity v towards an observer obliquely, forming an angle θ with the observation line. For the observer the jet appears to have been emitted laterally at speed V.
Show that for certain angles the speed measured by the observer may exceed the speed of light.

V = sin θ (1 / v - cos θ) ⁻¹

To explore the physics of freefall, a curious student climbs to the top of the Las Vegas-version of the Leaning Tower of Pisa (to be built in the style of the Las Vegas-version of the Eiffel Tower, the Statue of Liberty, …) with two identical cannonballs and conducts a series of experiments. Part A) The student drops one cannonball, and exactly 1.0 s later drops the other cannonball from the same height. What is the time interval between the first cannonball striking the ground and the second cannonball striking the ground? Part B) The student drops one cannonball, and after it has fallen exactly 1.0 m drops the other cannonball from the same initial height. What is the distance between the cannonballs when the first cannonball strikes the ground? Part C) The student throws one cannonball directly upward at 5.0 m/s and simultaneously throws the other cannonball directly downward at 5.0 m/s. (This requires great dexterity, but the student has been practicing this maneuver for several months.) What is the difference in speed between the cannonballs when each ball strikes the ground?

Answer Choices: Less than 1.0 m 1.0 m Greater than 1.0 m Cannot be determined

how do you chose the energy range of radiating particles/phonons to study the structure of a lattice?

show how to solve the integral of density of state from 0 to debye frequency and explain the solution

Make a side by side comparison for the electric potential and the vector potential. Compare them according to: a) Redundancies in their definitions

b) How they can be found from the sources c) How they can be used, if known, to find the magnetic and electric fields d) The matching/interface conditions they satisfy

In 1-D, the finite square well always has at least one bound state, no matter how shallow the well is. In 3-D, a finite-depth well doesn't always have a bound state.find bound states

A 0.70-m aluminum bar is held with its length parallel to the east-west direction and dropped from a bridge. Just before the bar hits the river below, its speed is 29 m/s, and the emf induced across its length is 7.0 x 10^-4 V. Assuming the horizontal component of the Earth's magnetic field at the location of the bar points directly north, (a) determine the magnitude of the horizontal component of the Earth's magnetic field, and (b) state whether the east end or the west end of the bar is positive.