Which of the following are true? Check all that apply. (1) If the net electric field at a particular location inside a piece of metal is zero, the metal is not in equilibrium. (2) The net electric field inside a block of metal is zero under all circumstances. (3) The net electric field at any location inside a block of copper is zero if the copper block is in equilibrium. (4) The electric field from an external charge cannot penetrate to the center of a block of iron. (5) In equilibrium, there is a net flow of mobile charged particles inside a conductor.

A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of $\lambda$. (a) Find the electric field inside and outside the cylinder. (b) Find the electric potential inside and outside the cylinder (c) Plot electric field and electric potential as a function of distance from the center of the rod.

A 1000 kg satellite and a 2000 kg satellite follow exactly the same orbit around the earth. a. What is the ratio F_1/F_2 of the gravitational force on the first satellite to that on the second satellite? b. What is the ratio a_1/a_2 of the acceleration of the first satellite to that of the second satellite?

Which of the following statements about a metal wire in the steady state are true? List all that apply. (1) There is a constant flow of mobile electrons inside the wire. (2) The net electric field everywhere inside the wire is zero. (3) There are no excess charges in the interior of the wire. (4) There cannot be excess charges on the surface of the wire. (5) There is no net flow of mobile electrons inside the wire. (6) There may be excess charges on the surface of the wire. (7) There may be excess charges in the interior of the wire. (8) There may be a nonzero, uniform electric field inside the wire. (9) The interior of the metal wire is neutral.

In triangle ABC, $\hat{\mathrm{A}}=15^{\circ}, \hat{\mathrm{B}}=63^{\circ}$ and AB = 10 cm. Find the length of BC.

An electron and a neutral carbon atom are initially $1 \times 10^{-6} \mathrm{m}$ apart (about 10000 atomic diameters), and there are no other particles in the vicinity. The polarizability of a carbon atom has been measured to be $\alpha=1.96 \times 10^{-40} \mathrm{C} \cdot \mathrm{m} /(\mathrm{N} / \mathrm{C}).$ Calculate the initial magnitude and direction of the acceleration of the electron. Explain your steps clearly. Pay particular attention to clearly defining your algebraic symbols. Don't put numbers into your calculation until the very end.

If the distance between a neutral atom and a point charge is tripled, by what factor does the force on the atom by the point charge change? Express your answer as a ratio: new force/original force.

Graph the set

$$\left\{-2,-\frac{1}{2},|-2|, 2 \frac{1}{2}, 2^{2}\right\}$$

on a number line.

A point charge of $3 \times 10^{-9} \mathrm{C}$ is located at the origin. Next, a short, straight, thin copper wire 3 mm long is placed along the x axis with its center at location $\langle 0.1,0,0\rangle \mathrm{m} .$ What is the approximate change in the magnitude of the electric field at location $\langle 0.2,0,0\rangle \mathrm{m} ?$

A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of $6 \times 10^{-8}\ \mathrm{C}$ at location $\langle- 0.3,0,0\rangle\ \mathrm{m} .$ At location $\langle 0,0.07,0\rangle\ \mathrm{m},$ what is the electric field contributed by the polarization charges on the surface of the metal sphere? How do you know?

Write each set by listing its elements. {z|z is an integer less than or equal to 4}

Write True if the statement is true. If the statement is false, change the underlined word or words to make the statement true. ____ With all the questions raised about GM agriculture, the wider use of biotechnology has been blocked.

In an analogy between electric current and automobile traffic flow, what would correspond to charge? What would correspond to current?

Recommend ways in which eutrophication can be reduced in waterways.