Consider an electron and a proton separated by a distance of 3.0 nm. Mass of electron = 9.11x10-31kg, mass of proton = 1.67x10-27kg, charge of proton = 1.6 x 10-19C, charge of electron = -1.6 x 10-19C, k= 8.99x109 Nm2 /C2 , and G = 6.67x 10-11 Nm2 /kg2 . (a) Calculate the magnitude of the gravitational force between them. (b) Calculate the magnitude of the electric force between them. (c) How would the ratio of these gravitational and electric forces change if the distance were increased to 3.0 m.

Consider an electron and a proton separated by a distance of 3.0 nm. Mass of electron = 9.11x10-31kg, mass of proton = 1.67x10-27kg, charge of proton = 1.6 x 10-19C, charge of electron = -1.6 x 10-19C, k= 8.99x109 Nm2 /C2 , and G = 6.67x 10-11 Nm2 /kg2 . (a) Calculate the magnitude of the gravitational force between them. (b) Calculate the magnitude of the electric force between them. (c) How would the ratio of these gravitational and electric forces change if the distance were increased to 3.0 m.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter23: Electric Forces

Section: Chapter Questions

Problem 48PQ: Two metal spheres of identical mass m = 4.00 g are suspended by light strings 0.500 m in length. The...

See similar textbooks

Similar questions

Recall that the gravitational force Fg between two masses m1 and m2 is given by the Universal Law of Gravitation: Fg= ?????/?2 where G = 6.67 x 10-11 Nm2/kg2 and r is the distance between the masses. (a) If the mass of the proton is 1.67 x 10-27 kg, calculate the ratio of the electric force to the gravitational force between the electron and the proton in the hydrogen atom. (answer: Fe/Fg = 2.26 x 1039) (b) Does it make sense to completely ignore the gravitational force that the proton exerts on the electron?
Two protons in an atomic nucleus are typically separated by a distance of 2 ×10^15m. The electric repulsive force between the protons is huge, but the attractive nuclear force is even stronger and keep nucleus from bursting apart. What is the magnitude of the electric force between two protons separated by 2 ×10^15m. Charge on an electron = 1.6 x 10-19 C
What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 0.9 cm and a uniformly distributed charge of 1.7 × 10-15 C? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and have zero kinetic energy when it gets there? The charge of an electron is 1.602 × 10-19 C and its mass is 9.109 × 10-31 kg.
Calculate the force of attraction between two small object of mass 10kg and 50kg respectively which are 10cm apart. Take G as 6.67*10^-1NM^2kg^-2. If the mass of a proton is 1.67*10^-27kg and the mass of an electron is 9.11*10^-31kg, calculate the force of gravitation between {1} a proton and an electron {2} two electrons {3} two protons. Take G= 6.67*10^-11NM^2kg^-2 distance between the electrons=2*10^-2m distance between the proton and electron=5.4*10^11
How much positive charge is in 1.3 kg of helium?The atomic weight (4.0026 g) of heliumcontains Avogadro’s number of atoms, witheach atom having 2 protons and 2 electrons.The elemental charge is 1.602 × 10−19 C andAvogadro’s number is 6.023 × 1023.1. 3.65671 × 1072. 3.37722 × 1073. 4.1138 × 1074. 4.71084 × 1075. 2.91926 × 1076. 6.26767 × 1077. 5.83852 × 1078. 1.14874 × 1089. 7.17219 × 10710. 2.74253 × 107Answer in units of C.
Using the value, 1.7 x 10^11 C/kg, for q/me and your average charge on an electron, 1.67 x 10^-19 C, what is your calculated value for the mass of the electron in kg?
There are approximately 2.97 trillion (2.97x10^12) electrons stored in a small, electrical component in your calculator. The charge on an electron is 1.60x^-10C. what charge is stored in the component? Report your answer in muC rounded to the nearest hundredths place.
You have 2.4 kg of water. One mole of waterhas a mass of 18.1 g/mole and each moleculeof water contains 10 electrons since water isH2 O.What is the total electron charge containedin this volume of water? The elementarycharge is 1.6 × 10−19 C .1. −1.17116 × 1082. −1.72253 × 1083. −9.58218 × 1074. −1.27762 × 1085. −7.45281 × 1076. −1.61487 × 1087. −2.12937 × 1078. −1.50722 × 1089. −3.22975 × 10710. −1.07658 × 108Answer in units of C
A certain five cent coin contains 5.00 g of nickel. What fraction of the nickel atoms’ electrons, removed and placed 1.00 m above it, would support the weight of this coin? The atomic mass of nickel is 58.7, and each nickel atom contains 28 electrons and 28 protons.
A repulsive force of 220 N exists between an unknown charge and a charge of +4.7 mC. If they are separated by 2.5 cm, what is the magnitude and sign of the unknown charge?
Assume we have 2 objects with a charge of 0.0014 C and 0.0052 C. If they are 9 meters apart, what is the force between them? F=k\cdot\frac{q_1q_2}{r^2}F=k⋅r2q1q2 k=9\cdot10^9N\cdot\frac{m^2}{C^2}k=9⋅109N⋅C2m2 Round your answer to the nearest whole number Do NOT include units
Consider the electrostatic force between two particles of equal mass m = 42.7 × 10-26 kg and carrying different charges q1 = 18e and q2 = 29e, where e denotes the magnitude of the charge on an electron. At what distance, in meters, is the electrostatic force between these two particles equal to the weight of one of them?