Suppose a plasma is confined in a very long cylinder with radius of 2.5 m. The charge density of the plasma in the cylinder is 60.0 µC/m³. Positively charged ions with excess charge of +e and mass of 5.0 x 102" kg are to be injected into the plasma perpendicular to the axis of the cylinder in a direction toward the center of the cylinder. Determine the speed that an ion should have when it enters the plasma cylinder so that its speed is zero when it reaches the axis of the cylinder.

Suppose a plasma is confined in a very long cylinder with radius of 2.5 m. The charge density of the plasma in the cylinder is 60.0 µC/m³. Positively charged ions with excess charge of +e and mass of 5.0 x 102" kg are to be injected into the plasma perpendicular to the axis of the cylinder in a direction toward the center of the cylinder. Determine the speed that an ion should have when it enters the plasma cylinder so that its speed is zero when it reaches the axis of the cylinder.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

In Rutherford's famous scattering experiments (which led to the planetary model of the atom), alpha particles (having charges of +2e and masses of 6.64 x 10-27 kg) were fired toward a fixed gold nucleus with charge +79e. An alpha particle, initially very far from the gold nucleus, is fired at 1.6 x 107 m/s directly toward the gold nucleus, as in Figure P16.19. How close does the alpha particle get to the gold nucleus before turning around? Ze Figure P16.19
During surgery, anesthesiolgists uses a mass spectrometer to monitor the respiratory gases of a patient. A gas often monitored is Isoflurane (molar mass = 3.06 ×10-25 kg). A singly ionized molecules of isoflurane has a charge if +e and moves at a speed of 7.5×103 m/s. If the path in which it travels is considered circular with a radius of 0.10 m then: Calculate the magnitude of the magnetic field that the spectrometer uses. If, and in a hypothetical case, a secondary reaction occurs creating a second particle which is negatively charged, twice the mass of the isoflurane and travels at 1.8 ×103 m/s. What is the radius of its circular path? Draw how the paths of these two molecules are affected under the influence of the magnetic force.
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function
Problem 2: Space explorers discover an mA = 8.7 x 10¹7 kg asteroid that happens to have a positive charge of qA = 4400 C. They would like to place their ms = 3.3 x 105 kg spaceship in orbit around the asteroid. Interestingly, the solar wind has given their spaceship a charge of qs -1.2 C. What speed must their spaceship have to achieve a 7500-km- diameter circular orbit? qA, MA + 2 0.gs, Ms
Part A -23 kg) is accelerated through AKt ion (mass of 6.5x10 a cell membrane at 2.3 x 106 m/s². What is the electric field between the membrane walls? 9340 N/C 49 N/C 4.9 N/C 934 N/C Submit Request Answer
A proton with a kinetic energy of 1.63 keV (1eV-1.602.10-19 J), that is at height 24.9 cm above a horizontal charged nonconducting plate with surface charge density - 3.60 μ C/m², is fired horizontally across this plate. What is the height of the proton after it has traveled a horizontal distance of 3.56 cm? 18.6 cm O 13.8 cm O 20.9 cm O 15.4 cm O 20.2 cm Save for Later Submit Answer
A positive charge of 4.20 μC is fixed in place. From a distance of 4.20 cm a particle of mass 6.20 g and charge +3.00 μC is fired with an initial speed of 62.0 m/s directly toward the fixed charge. How close to the fixed charge does the particle get before it comes to rest and starts traveling away? (in cm)
You have built a device that measures the temperature outside and displays it on a dial as a measure of how far away from room temperature outside is. The way the dial works is that a needle with a charged ball on the end is placed between two charged parallel plates. The strength of the uniform electric field between the plates is proportional to the outside temperature. Given that the charged ball on the needle has a charge of −2.4 µC and the needle can be represented as a string with tension 0.350 N, and is at an angle of 22°, consider the following. What is the mass of the object? gWhat is the magnitude of the electric field? N/C
V3
A proton is shot directly toward the center of a large metal plate that has a surface charge density equal to o = 8.00 ×10°C/m2. If the initial kinetic energy of the proton is 4.80×10*™"J and if the proton is to stop (due to the repulsive electrostatic force from the plate) just as it reaches the plate, how far from the plate must the launch point be?
An electron is launched from the surface of a charged sphere of diameter 5.90 cm. If the sphere has been charged to 9.90 nC what is the escape velocity of the electron? 1.23×107 m/s 3.26×107 m/s 7.75×107 m/s 8.10×1012 m/s
Please Asap