) What is the magnitude of the gravitational force of attraction between two ele
ID: 586644 • Letter: #
Question
) What is the magnitude of the gravitational force of attraction between two electrons separated by a distance r? What is the magnitude of the electrical force of repulsion between two electrons separated by a distance r? What is the ratio of the magnitude of the gravitational force to the magnitude of the electrical force? How much stronger is the electrical force? (b) How much does the gravitational potential energy decrease when two electrons are brought in from inÖnite separation to a separation r? How much does the electrical potential energy increase when two electrons are brought in from inÖnite separation to a separation r? At a distance r; what fraction of the total potential energy is determined by gravity?
Explanation / Answer
Gravitational Force is given by,
F = G*m1*m2/r^2
F = G*m^2/r^2
F = [6.67*10^-11 * (9.1*10^-31)^2]/r^2
F = 5.52 * 10^-71/r^2 N
Electrical Force is given by, F = k*q1q2/r^2
F = (8.9*10^9 * 1.6*10^-19)^2/r^2
F = (2.03 * 10^-18)/r^2 N
Ratio of the magnitude of the gravitational force to the magnitude of the electrical force = (5.52 * 10^-71/r^2)/((2.03 * 10^-18)/r^2)
Ratio = 2.72 * 10^-53
Strength of Electrical Force = 3.68 * 10^52 times of Gravitaional Force.
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