# Calculate the protons angular frequency answer in

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Calculate the proton’s angular frequency. What is the magnetic field in that region of
space? Answer in units of T. Serway CP 19 31 29:04, trigonometry, numeric, > 1 min. 064
A singly charged positive ion has a mass of 2 . 5 £ 10 ° 26 kg. After being accelerated through a potential di Æ erence of 250 V, the ion enters a magnetic field of 0 . 5 T, in a direc- tion perpendicular to the field. Find the radius of the ion’s path in the field.
Serway CP 19 32 29:04, trigonometry, numeric, > 1 min. 065 A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge from the velocity selector at a speed of 300000 m / s and enter a uniform magnetic field of 0 . 6 T directed perpendicularly to the velocity of the ions. What is the distance between the impact
points formed on the photographic plate by singly charged ions of 235 U and 238 U ? Answer in units of cm. Serway CP 19 33 29:04, trigonometry, numeric, > 1 min. 066 An electron moves in a circular path perpen- dicular to a constant magnetic field of magni- tude 1 mT. If the angular momentum of the electron about the center of the circle is 4 £ 10 ° 25 J · s, find the radius of the circular path. Answer
Chapter 29, section 4, Motion of a Charged Particle in a Magnetic Field 49 in units of cm. 067 Find the speed of the electron. Answer in units of m / s. Serway CP 19 55 29:04, trigonometry, numeric, > 1 min. 068 Two species of singly charged positive ions of masses 2 £ 10 ° 26 kg ions 2 . 34 £ 10 ° 26 kg enter a magnetic field at the same location with a speed of 100000 m / s. If the strength of the field is 0 . 2 T, and the ions move perpendicularly to the field, find their distance of separation after they com- plete one half of their circular path. Answer in units of cm. Serway CP 19 59 29:04, trigonometry, numeric, > 1 min. 069 Given: g = 9 . 8 m / s 2 . A 1 kg metal ball having net charge 5 μ C is thrown out of a window horizontally at a speed 20 m / s. The window is at a height 20 m above the ground. A uniform horizontal magnetic field of magnitude 0 . 01 T is perpen- dicular to the plane of the ball’s trajectory. Find the magnitude of the magnetic force acting on the ball just before it hits the ground. Ignore magnetic force in finding the ball’s final velocity. Answer in units of N. Spiral Motion 29:04, trigonometry, multiple choice, > 1 min. 070 Neglect the e Æ ect due to gravity. A uniform magnetic field is directed out of the page. A charged particle moves in the plane of the page following a clockwise spiral of increasing radius as shown. B B A reasonable explanation is 1. the charge is positive and speeding up.