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Name _________________________________ Date ___________________ Per _________ HW Magnetic and Centripetal Force (Mass Spec) 1. Consider the mass spectrometer shown schematically. The electric field between the plates of the velocity selector is 950 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.930 T. a) Is the ion a positive or negative? b) Calculate the radius of the path in the system for a singly charged ion (1.6 × 10-19 C) with mass m = 2.18 × 10–26 kg if it leaves the velocity selector at a speed of 3.6x10 6 m/s. c) At what distance did the ion travel from the entrance site? 2. A proton (1.60x10-19 C) has a mass of 1.67 × 10-27 kg. After being accelerated through a potential difference of 250 V, the proton has a velocity of 5.66x10 4 m/s. The ion enters a magnetic field of 1.3 T, in a direction perpendicular to the field. Calculate the radius of the ion’s path in the field. 3. One electron is removed from a methane molecule prior to entering the mass spectrometer shown below. After passing through the velocity selector, the charged molecule has a speed of 1.0 X 103 m/s. It then enters the final magnetic field region, in which the field is 6.7X10-3T, and follows a circular path. The molecule lands on the detector 5.0cm from the entrance to the field. Determine the mass of this molecule. (Neglect the mass of the removed electron). 4. A particle with a +3.2 μC charge and a kinetic energy of 0.020 J is fired into a uniform magnetic field of magnitude 1.30 T. If the particle moves in a circular path of radius 0.5 m, determine its mass. (hint: use KE = ½ mv2 to solve for v) 5. A cosmic-ray proton in interstellar space has an energy of 10.0 MeV and executes a circular orbit having a radius equal to that of Mercury’s orbit around the Sun (5.80 × 10 10 m). What is the magnetic field in that region of space? (Conversion: 1.6x10-19 J = 1eV)