An electron and a proton are each accelerated starting from rest through a potential difference of...
An electron and a proton are each accelerated starting from rest through a potential difference of 32.0 million volts. Find the momentum (in MeV/c) and the kinetic energy (in MeV) of each, and compare with the results of using the classical formulas. (Give your answers to at least four significant figures.)
Proton
| Momentum (MeV/c) |
Momentum (MeV/c) |
|||
|---|---|---|---|---|
| relativistic | classical | |||
| proton | ? | 245.2 | ||
Homework Answers
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An electron and a proton are each accelerated starting from rest
through a potential difference of...
Krane3 2P037 An electron and a proton are each accelerated starting from rest through a potential...
Krane3 2P037 An electron and a proton are each accelerated starting from rest through a potential difference of 28.0 million volts. Find the momentum (in MeV/c) and the kinetic energy (in MeV) of each, and compare with the results of using the classical formulas. (Give your answers to at least four significant figures.) Kinetic Energy (Mev) Momentum (MeV/c) relativistic classical electron 536438384693x28.51 86348565.349 888.00 proton 4834863230.9 486348634863x229.2 63486486328.00 5.34948384 Grade This Hide AnswerTry Again
An electron is accelerated from rest through a difference of potential V. a) Show that the...
An electron is accelerated from rest through a difference of potential V. a) Show that the de Broglie wavelength, in unit of angstrom Å (10-10 m), for a non- relativistic electron accelerated through a small potential difference is: λ ＝12.27/(v)^1/2 b) Calculate λ if the electron is accelerated through 50 V. c) Find the de Broglie wavelength for a relativistic electron that is accelerated from rest through a large difference potential difference at a modern particle collider. d) Show that...
An electron is a accelerated through a potential difference of 750.0 kV so that it leaves...
An electron is a accelerated through a potential difference of 750.0 kV so that it leaves this region with a kinetic energy of 750.0 keV. a) Calculate the mass of the electron in units of eV/c^2 correct to 4 decimal places. b) Calculate the total energy E of the electron in Joules and electron-Volts. c) Calculate the speed of the electron using the relativistic kinetic energy, and the non-relativistic kinetic energy. Express your answer as a fraction times c. d)...
An electron is accelerated from rest through a potential difference that has a magnitude of 2.70...
An electron is accelerated from rest through a potential difference that has a magnitude of 2.70 × 107 V. The mass of the electron is 9.11 × 10-31 kg, and the negative charge of the electron has a magnitude of 1.60 × 10-19 C. (a) What is the relativistic kinetic energy (in joules) of the electron? (b) What is the speed of the electron? Express your answer as a multiple of c, the speed of light in a vacuum.
An electron has been accelerated from rest through a potential difference of 700 V . What...
An electron has been accelerated from rest through a potential difference of 700 V . What is the electron's kinetic energy, in electron volts? What is the electron's kinetic energy, in joules? What is the electron's speed?
A proton is accelerated from rest through a potential difference of 500 Megavolt. a) What is...
A proton is accelerated from rest through a potential difference of 500 Megavolt. a) What is its speed? b) Classical mechanics indicates that quadrupling the potential difference would double the speed. Were the classical analysis valid, what speed would result from a 2000 Megavolt potential difference? c) What speed actually results?
An electron has been accelerated from rest through a potential difference of 700 V . A)What...
An electron has been accelerated from rest through a potential difference of 700 V . A)What is the electron's kinetic energy, in electron volts? B)What is the electron's speed?
A)A proton is accelerated from rest through a potential difference of 25707 V. What is the...
A)A proton is accelerated from rest through a potential difference of 25707 V. What is the kinetic energy of this proton after this acceleration? The mass of a proton is 1.673 × 10−27 kg and the elemental charge is 1.602 × 10−19 C. Answer in units of J. B) What is the speed of the proton after this acceleration? Answer in units of m/s.
(a) Calculate the speed of a proton that is accelerated from rest through a potential difference...
(a) Calculate the speed of a proton that is accelerated from rest through a potential difference of 111 V km/s (b) Calculate the speed of an electron that is accelerated through the same potential difference. Mm/s
A proton and an electron are both accelerated from rest across a potential difference of 3...
A proton and an electron are both accelerated from rest across a potential difference of 3 V. Which of the following is true: Select one: a. The proton moves at the same speed as the electron. b. The proton moves slower than the electron. c. The proton moves faster than the electron.
Krane3 2P037 An electron and a proton are each accelerated starting from rest through a potential difference of 28.0 million volts. Find the momentum (in MeV/c) and the kinetic energy (in MeV) of each, and compare with the results of using the classical formulas. (Give your answers to at least four significant figures.) Kinetic Energy (Mev) Momentum (MeV/c) relativistic classical electron 536438384693x28.51 86348565.349 888.00 proton 4834863230.9 486348634863x229.2 63486486328.00 5.34948384 Grade This Hide AnswerTry Again
An electron is a accelerated through a potential difference of 750.0 kV so that it leaves this region with a kinetic energy of 750.0 keV. a) Calculate the mass of the electron in units of eV/c^2 correct to 4 decimal places. b) Calculate the total energy E of the electron in Joules and electron-Volts. c) Calculate the speed of the electron using the relativistic kinetic energy, and the non-relativistic kinetic energy. Express your answer as a fraction times c. d)...
(a) Calculate the speed of a proton that is accelerated from rest through a potential difference of 111 V km/s (b) Calculate the speed of an electron that is accelerated through the same potential difference. Mm/s
A proton and an electron are both accelerated from rest across a potential difference of 3 V. Which of the following is true: Select one: a. The proton moves at the same speed as the electron. b. The proton moves slower than the electron. c. The proton moves faster than the electron.
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