Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 7, Problem 22PQ
To determine
The magnitude of gravitational force between electron and proton.
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In one model of the hydrogen atom, the electron revolves in a circular orbit of radius 5.3 x 10-11 m. Calculate the speed of the electron.
In the Rutherford model of the hydrogen atom, a proton (mass M, charge Q) is the nucleus and an electron (mass m, charge q) moves
around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/4TTE0) and G the universal gravitational constant.
The ratio of the electrostatic force to the gravitational force between electron and proton is:
O kMm/GQq
O kQq/GMm
O GQq/kMm
O GMm/kQq
O kQq/GMmr²
A uranium ion and an iron ion are separated by a distance of
R = 57.10 nm, as shown in the figure. The uranium atom is
uranium ion
iron ion
electron
singly ionized; the iron atom is doubly ionized.
K r
K-
R
Calculate the distance r from the uranium atom at which an
electron will be in equilibrium. Ignore the gravitational
r =
nm
attraction between the particles.
What is the magnitude Fy of the force on the electron from
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N
Question Source: Freedman College Physics 3e | Publisher: Macmillan
Chapter 7 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 7.1 - What important experimental skills can we learn...Ch. 7.2 - Three possible planetary orbits are shown in...Ch. 7.2 - Prob. 7.3CECh. 7.2 - Prob. 7.4CECh. 7.2 - Todays employees are rewarded for thinking outside...Ch. 7 - We use the terms sunset and sunrise. In what way...Ch. 7 - Prob. 2PQCh. 7 - For many years, astronomer Percival Lowell...Ch. 7 - Prob. 4PQCh. 7 - Prob. 5PQ
Ch. 7 - Io and Europa are two of Jupiters many moons. The...Ch. 7 - Model the Moons orbit around the Earth as an...Ch. 7 - Prob. 8PQCh. 7 - Prob. 9PQCh. 7 - Prob. 10PQCh. 7 - Prob. 11PQCh. 7 - Prob. 12PQCh. 7 - A massive black hole is believed to exist at the...Ch. 7 - Since 1995, hundreds of extrasolar planets have...Ch. 7 - When Sedna was discovered in 2003, it was the most...Ch. 7 - Prob. 16PQCh. 7 - The mass of the Earth is approximately 5.98 1024...Ch. 7 - Prob. 18PQCh. 7 - Prob. 19PQCh. 7 - A black hole is an object with mass, but no...Ch. 7 - Prob. 21PQCh. 7 - Prob. 22PQCh. 7 - The Lunar Reconnaissance Orbiter (LRO), with mass...Ch. 7 - A Suppose a planet with mass m is orbiting star...Ch. 7 - Prob. 25PQCh. 7 - Three billiard balls, the two-ball, the four-ball,...Ch. 7 - Saturns ring system forms a relatively thin,...Ch. 7 - Prob. 28PQCh. 7 - Find the magnitude of the Suns gravitational force...Ch. 7 - Prob. 30PQCh. 7 - Prob. 31PQCh. 7 - Prob. 32PQCh. 7 - Prob. 33PQCh. 7 - Prob. 34PQCh. 7 - Prob. 35PQCh. 7 - In your own words, describe the difference between...Ch. 7 - The Sun has a mass of approximately 1.99 1030 kg....Ch. 7 - Prob. 38PQCh. 7 - Prob. 39PQCh. 7 - Prob. 40PQCh. 7 - Three billiard balls, the two-ball, the four-ball,...Ch. 7 - Prob. 42PQCh. 7 - Prob. 43PQCh. 7 - Prob. 44PQCh. 7 - Figure P7.45 shows a picture of American astronaut...Ch. 7 - Prob. 46PQCh. 7 - Prob. 47PQCh. 7 - Prob. 48PQCh. 7 - Prob. 49PQCh. 7 - Prob. 50PQCh. 7 - The International Space Station (ISS) experiences...Ch. 7 - Prob. 52PQCh. 7 - Two black holes (the remains of exploded stars),...Ch. 7 - Prob. 54PQCh. 7 - Prob. 55PQCh. 7 - Consider the Earth and the Moon as a two-particle...Ch. 7 - Prob. 57PQCh. 7 - Consider the Earth and the Moon as a two-particle...Ch. 7 - Prob. 59PQCh. 7 - You are a planetary scientist studying the...Ch. 7 - Prob. 61PQCh. 7 - Prob. 62PQCh. 7 - Planetary orbits are often approximated as uniform...Ch. 7 - Prob. 64PQCh. 7 - Prob. 65PQCh. 7 - Prob. 66PQCh. 7 - Prob. 67PQCh. 7 - Prob. 68PQCh. 7 - Prob. 69PQCh. 7 - Prob. 70PQ
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- A uranium ion and an iron ion are separated by a distance of ?=57.10 nm, as shown in the figure. The uranium atom is singly ionized; the iron atom is doubly ionized. Calculate the distance ? from the uranium atom at which an electron will be in equilibrium. Ignore the gravitational attraction between the particles. ?= What is the magnitude ?U of the force on the electron from the uranium ion?arrow_forwardIn the simple Bohr model of the ground state of the hydrogen atom, the electron travels in a circular orbit around a fixed proton. The radius of the orbit is 5.28 × 10-¹1 m, and the speed of the electron is 2.18 × 106 m/s. The mass of an electron is 9.11 x 10-31 kg. What is the force on the electron?arrow_forwardIf the gravitational force of two identical particles is equal to the elec- trostatic force between proton (p) and electron (e), what is the mass m, of the particles. The magnitude of charge of electron and proton is e=4.8x1010 esu (CGS), G=6.7×10 CGS, the distance between the [p, e] pair is equal to the distance between the [m, m] pair.arrow_forward
- If the gravitational force of two identical particles is equal to the electrostatic force between the proton (p) and the electron (e), what is the mass m of the particles? The magnitude of the charge of the electron and proton is e = 4.8x10-10 esu (CGS), G-6.7x10 CGS, the distance between the [p, e] pair is equal to the distance between the [m, m] pair.arrow_forwardA uranium ion and an iron ion are separated by a distance of, R=23.30 nm, as shown in the figure. The uranium atom is singly ionized; the iron atom is doubly ionized. Calculate the distance r from the uranium atom at which an electron will be in equilibrium. Ignore the gravitational attraction between the particles. What is the magnitude ?UFU of the force on the electron from the uranium ion?arrow_forwardHi, can anyone solve this with a detailed explanation. The electron in a hydrogen atom is initially at a distance 2.12 Å from the proton, and then moves to a distance 0.529 Å from the proton. (a) Calculate the change in the force between the proton and the electron. (b) Calculate the change in the potential energy between the proton and the electron. (c) Calculate the change in the velocity of the electron.arrow_forward
- In a hydrogen atom an electron is orbiting a proton. There are two forces between the electron and the proton. The Gravitational Force FG and the electrostatic Force FE. What is the factor FEFG of those two forces. Use the following constants to calculate the problem: me=9.1*10-31 kg mp=1.67*10-27 kg e=1.6*10-19 C k=8.99*109 Nm2/C2 r=1.01*10-10 m G=6.67⋅10−11Nm2kg2 Please give your answer FE/FG in FE/FG*1040 ie. for 6.734*1042 please write 673.4arrow_forwardA hydrogen atom when in its lowest energy state consists of a proton nucleus of charge +e (remember that +e = 1.6 x 10-19 C) and an electron of charge -e and mass of 9.1 x 10-31 kg. In the Bohr model of the atom, the electron moves around the nucleus in an approximately circular orbit with a radius of 0.52 x 10-10 m. The speed of the electron when in this lowest energy orbit is approximately 2.3 x 106 m/s. Imagine that we want to ionize this atom (that is free up the electron from its nucleus) by launching ANOTHER electron at the atom to break it apart. If we were to launch this electron from very far away from the atom, then how fast must it be launched in order to break apart the atom, so that all three particles (the proton and two electrons) end up at rest, very far apart?arrow_forwardA hydrogen atom contains a single electron that moves in a circular orbit about a single proton. Assume the proton is stationary, and the electron has a speed of 9.2 *105 m/s. Find the radius between the stationary proton and the electron orbit within the hydrogen atom.arrow_forward
- Two electrons in a molecule are 3.80 x 10-10 m apart. Calculate the magnitude of the gravitational force between them.arrow_forwardThe gravitational force between two masses m and m2 located a distance r apart has a magnitude of FG =Gmm2, where G = 6.674×10 N ⋅ m2/kg2; this has a nearly identical form to the Coulomb force law between two charges (except the force constants are different and masses are always positive). Suppose two identical spherical masses with radius a = 30 μm and mass density ρm = 2.2 × 103 kg/m3 are located a distance L apart. If they are released rest, their gravitational attraction will cause them to eventually collide. If, however, each mass has the same charge, then a Coulomb force will oppose the gravitation force. Suppose each mass has an excess of n extra electrons that causes both to be negatively charged. Find the minimum number n that would prevent the masses from colliding.arrow_forwardEstimate the gravitational acceleration near a proton using the given information: G~7x10-11 [SI units] 10-27 kg M~ Size (diameter) of proton: 10-15 marrow_forward
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