The aurora borealis can sometimes be visible in St. Paul. The aurora is caused whenelectrons and protons, moving in earth’s magnetic field of 5 X 10-5 T collide with molecules of theatmosphere and cause them to glow. What is the circular radius forA) electron with a speed of 1.1 X 106 m/sB) same speed but now a proton

#14 Frequency of Circular Orbits Recall from class discussion that the period and frequency of a charge moving in a magnetic field are: 2т М QB T = F (2) QB 2πΜ respectively. Suppose an proton, with a mass of 1.67 × 10-27 kg a charge of 1.60 × 10-19 C moves in a 0.500 T magnetic. If the proton follows circular orbits, what is the frequency (in Hertz) of the orbits? A. 706 kHz В. 7.06 МHz С. 70.6 МHz D. 706 MHz

Electric and magnetic interactionsam not sure with my answers but please solve

a) How many days are 544320 s? b) The constant k in Coulomb's law (F= k(Q1Q2/r^2) is k=8.988 10° Nm²/ (As)² Write k with the appropriate prefix. c) Write 34.0 mm² as m² in base power form. d) Calculate the weight of a dumbbell with a mass of 5.0 kg e) Convert 140.0 cm/ s to km/ h. I) Determine the mass of a cone made in molybdenum with radius 0.90 dm and height 1.2 dm. g) Sweden's deepest lake, Vättern, is 128 m deep. Determine the bag pressure at this depth.

A cyclotron (figure) designed to accelerate protons has an outer radius of 0.333 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 572 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.720 T. The black, dashed, curved lines Alternating AV represent the path of the particles. -Dg After being accelerated, the particles exit here. -North pole of magnet (a) Find the cyclotron frequency for the protons in this cyclotron. 1.04e33 x rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. ev (d) How many revolutions does a proton make in the cyclotron? revolutions (e) For what time interval does the proton accelerate? awranca Barke kay Nationallab

Physics 212 - Module 5 Hands On Activities Packet 2. A mass spectrometer is used to determine the mass of the ions in a sample. Once the mass of the ions are known one can determine what molecular composition of the sample. The Behrend chemistry department has several mass spectrometers. A new singly charged ion (the sign of the charge is unknown but we know it is either te or-e) enters a velocity selector as shown with crossed electric and magnetic fields of magnitude E and B. Only ions with the selected speed then leave through the right hole and enter a region with the same magnetic field B but no electric field. The magnetic force then causes the charges to move in a semi-circular path of radius r as shown. By measuring r one can determine the mass of the ions. a. Is the ion positive or negative? • 8 times as large • a factor of √2 as large • 1/2 as large b. Determine the mass of the ion in terms of e, B, E and/or r. Show work. Note: your answer should not contain the speed v. .8…

1a. What is the maximum force on an aluminum rod with a 0.450-µC charge that you pass between the poles of a 2.00-T permanent magnet at a speed of 2.00 m/s? 1b.In what direction is the force? - parallel to both the velocity and the magnetic field - parallel to the velocity and perpendicular to the magnetic field  - perpendicular to the velocity and parallel to the magnetic field - perpendicular to both the velocity and the magnetic field

A particle of mass m and charge q enters a magnetic field B at a speed of v and is deflected as shown. What type of charge does the particle carry? (i) (ii) What change would cause the particle to be deflected even more? SELECT ALL THAT APPLY A. Positive A. Increasing mass m B. Negative B. Increasing charge q C. Uncharged C. Increasing the magnetic field B D. Increasing the speed v

Show that the magnetic dipole moment u of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital momentum L of the electron by

3) Recall that we can analyze the nature of particles with a velocity selector and mass spectrometer. Suppose we know that the charge of the particle we're experimenting with is that of an electron but we don't know their speed and we don't know their mass. a) The velocity selector is constructed to have a magnetic field of 0.157 pointing into the paper plane and an electric field of 70N/C pointing downward. What is the speed of negatively charged particles if they don't experience any deflection? b) Suppose that those particles that are not deflected then enter a magnetic field of 37 pointing into the plane (no electric field). If we measure a diameter of the circular orbit in this magnet field of 1cm what is the mass of the particle?