Question 15 of 24 Mapdno Sapling Learning An electron and a proton are separated

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Question 15 of 24 Mapdno Sapling Learning An electron and a proton are separated by a distance of 1.6 x10% m (roughly the diameter of a single atom). What is the magnitude of the electric interaction between the electron and the proton? Number magnitude of electric force What is the magnitude of the gravitational interaction between the electron and the proton? Number magnitude of gravitational force In this scenario, how many times stronger is the electric force than the gravitational force? Number The electric force is nes stronger than the gravitational force. O Previous 8 Give Up & View solution 2 Check Answer Next J Exit Hint

Explanation / Answer

for the electric interaction between electron and proton

magnitude of electric force = k * q1 * q2/d^2

magnitude of electric force = 9 *10^9 * (1.602 *10^-19)^2/(1.6 *10^-10)^2

magnitude of electric force = 9.02 *10^-9 N

the magnitude of electric force is 9.02 *10^-9 N

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for the gravitational interaction

gravitational force between the particles = G *M * m/d^2

gravitational force between the particles = 6.673 *10^-11* 9.11 *10^-31 * 1.67 *10^-27/(1.6 *10^-10)^2

gravitational force between the particles = 3.97 *10^-48 N

the gravitational force between the particles is 3.97 *10^-48 N

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electric force = 9.02 *10^-9/(3.97 *10^-48) times gravitational force

electric force 2.27 *10^39 times gravitational force

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