A proton is on the x axis at x = 1.5nm . An electron is on the y axis at y = 0.7

Question

A proton is on the x axis at x = 1.5nm . An electron is on the y axis at y = 0.79nm . Find the net force the two exert on a helium nucleus (charge + 2e) at the origin. Express your answer using two significant figures. Enter your answers numerically separated by a comma. Fx, Fy = N Two widely separated 5.1mm-diameter water drops each carry 12nC. Assuming all charge resides on the drops' surfaces, find the change in electrostatic potential energy if they're brought together to form a single spherical drop. Express your answer using two significant figures. Delta U = 590 J

Explanation / Answer

use the formula for force between two charges as F = kq1q2/r^2

where k is cosnatnt = 9e9

q1 and q2 are the charges

r is the distance between the charges

so

here Fx = 9e9 * 1.6 e-19 * 2*1.6 e-19/(1.5 e -9 *1.5 e-9)

Fx = 2.048 e -10 N

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Fy = 9e9 * 1.6 e-19 * 2*1.6 e-19/(0.79 e -9 * 0.79 e-9)

Fy = 7.38 e -10 N

so Fx, Fy are   2.048 e-10 N and 7.38 e -10 N

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apply the formula for PE = Kq1q2/r

PE    - 9e9 * 12 e -9 * 12 e-9/(5.1 e -3)

PE = -2.54 e -4 Joules

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