a) Doubly ionized Cesium ions are accelerated to 50 km/s in an ion rocket engine. What...
a) Doubly ionized Cesium ions are accelerated to 50 km/s in an ion rocket engine. What accelerating voltage is needed assuming they start from rest? Each ionization removes one electronic charge. **(Mass is 2.225x10-25; Answer should be around 870V)
b) A doubly ionized atom (charge = + 2e, where e = 1.602 X 10-19 C) falls in a field that lowers its potential energy by 2.7 X 10-16 J. Through what voltage does it fall? If the ion has mass equal to 17 proton masses and falls from rest, what speed will it acquire?
Homework Answers
Here we apply definition of electric potential energy and kinetic energy as well as mechanical energy conservation.
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a) Doubly ionized Cesium ions are accelerated to 50 km/s in an
ion rocket engine. What...
Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au2+), each...
Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au2+), each with a mass of 3.27 × 10-25 kg. The ions are accelerated from rest through a potential difference of 2.20 kV. Then, a 0.530-T magnetic field causes the ions to follow a circular path. Determine the radius of the path.
Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au^2+), each...
Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au^2+), each with a mass of 3.27*10^(-25) kg. The ions are accelerated from rest through a potential difference of 1.10 kV. Then, a 0.490 T magnetic field causes the ions to follow a circular path. Determine the radius of the path.
Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au^2+), each...
Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au^2+), each with a mass of 3.27 times 10^-25 kg. The ions are accelerated from rest through a potential difference of 2.20 kV. Then, a 0.710-T magnetic field causes the ions to follow a circular path. Determine the radius of the path.
To five significant figures, what accelerating potential difference AV is required to detect the ion 0...
To five significant figures, what accelerating potential difference AV is required to detect the ion 0 ? The masses of the atoms are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Use the following constants: 1 u = 1.6605 x 10-27 kg, e = 1.6022 x 10-19 C. (Figure 1) shows a mass spectrometer, an analytical instrument used to identify the various molecules in...
(Figure 1) shows a mass spectrometer, an analytical instrument used to identify the various molecules in...
(Figure 1) shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio q/m. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential difference ΔV, and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through a small opening to a detector. As...
A proton, traveling with a velocity of 3.1 × 106 m/s due east, experiences a magnetic...
A proton, traveling with a velocity of 3.1 × 106 m/s due east, experiences a magnetic force that has a maximum magnitude of 6.6 × 10-14 N and direction of due south. What are the magnitude and direction of the magnetic field causing the force? If the field is up, then enter a number greater than zero. If the field is down, then enter a number less than zero. An α-particle has a charge of +2e and a mass of...
Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au^2+), each with a mass of 3.27 times 10^-25 kg. The ions are accelerated from rest through a potential difference of 2.20 kV. Then, a 0.710-T magnetic field causes the ions to follow a circular path. Determine the radius of the path.
To five significant figures, what accelerating potential difference AV is required to detect the ion 0 ? The masses of the atoms are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Use the following constants: 1 u = 1.6605 x 10-27 kg, e = 1.6022 x 10-19 C. (Figure 1) shows a mass spectrometer, an analytical instrument used to identify the various molecules in...
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