An infinitely long conducting cylindrical rod with a positive charge λ per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of −2λ and radius r1, as shown in the figure. What is σinner, the surface charge density (charge per unit area) on the inner surface of the conducting shell? What is σouter, the surface charge density on the outside of the conducting shell? (Recall from the problem statement that the conducting shell has a total charge per unit length given by −2λ.)

A small conducting spherical shell with inner radius aa and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d (Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. What's the total charge on the inner surface of the small shell? What's the total charge on the outer surface of the small shell? What's the total charge on the inner surface of the large shell? What's the total charge on the outer surface of the large shell?

A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius cc and outer radius d (Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. What is the direction of the electric field for b<r<c? Calculate the magnitude of the electric field for c<r<d. Calculate the magnitude of the electric field for r>d.

TICE D Conservation of Momentum 1. A 63.0 kg astronaut is on a spacewalk when the tether line to the shuttle breaks. The astronaut is able to throw a spare 10.0 kg oxygen tank in a direction away from the shuttle with a speed of 12.0 m/s, propelling the astronaut back to the shuttle. Assuming that the astronaut starts from rest with respect to the shuttle, find the astronaut's final speed with respect to the shuttle after the tank is thrown. 2. An 85.0 kg fisherman jumps from a dock into a 135.0 kg rowboat at rest on the west side of the dock. If the velocity of the fisherman is 4.30 m/s to the west as he leaves the dock, what is the final velocity of the fisher- man and the boat? 3. Each croquet ball in a set has a mass of 0.50 kg. The green ball, traveling at 12.0 m/s, strikes the blue ball, which is at rest. Assuming that the balls slide on a frictionless surface and all collisions are head-on, find the final speed of the blue ball in each of the following situations: a. The green…

The 5.15 A current through a 1.50 H inductor is dissipated by a 2.15 Q resistor in a circuit like that in the figure below with the switch in position 2. 0.632/ C A L (a) 0.368/ 0+ 0 = L/R 2T 3r 4 (b) (a) What is the initial energy (in J) in the inductor? 0 t = L/R 2t (c) Эт 4t 19.89 ] (b) How long will it take (in s) the current to decline to 5.00% of its initial value? 2.09 S (c) Calculate the average power (in W) dissipated, and compare it with the initial power dissipated by the resistor. 28.5 1.96 x W X (ratio of initial power to average power)

Imagine a planet where gravity mysteriously acts tangent to the equator and in the eastward directioninstead of radially inward. Would this force do work on an object moving on the earth? What is the sign ofthe work, and does it depend on the path taken? Explain by using the work integral and provide a sketch ofthe force and displacement vectors. Provide quantitative examples.

If a force does zero net work on an object over a closed loop, does that guarantee the force is conservative? Explain with an example or counterexample

A futuristic amusement ride spins riders in a horizontal circle of radius 5 m at a constant speed. Thefloor drops away, leaving riders pinned to the wall by friction (coefficient µ = 0.4). What minimum speedensures they don’t slip, given g = 10 m/s²? Draw diagram (or a few) showing all forces, thevelocity of the rider, and their acceleration

Your RL circuit has a characteristic time constant of 19.5 ns, and a resistance of 4.60 MQ. (a) What is the inductance (in H) of the circuit? 0.00897 × H (b) What resistance (in MQ) should you use (instead of the 4.60 MQ resistor) to obtain a 1.00 ns time constant, perhaps needed for quick response in an oscilloscope? 8.97 * ΜΩ