Two identical conducting spheres are separated by a fixed center-to-center dista

Question

Two identical conducting spheres are separated by a fixed center-to-center distance of 42 cm and have different charges. Initially, the spheres attract each other with a force of 0.095 N. The spheres are now connected by a thin conducting wire. After the wire is removed, the spheres are positively charged and repel one another with a force of 0.032 N. Find (a) the final and (b) the initial charges on the spheres.

Problem 19.102 Resources « previous 24 of 54 | nex Problem 19.102 Express your answer using two significant figures. Enter your answers numerically separated by a comma Two identical conducting spheres are separated by a fixed center-to-center distance of 42 Cm and have different charges. Initially, the spheres attract each other with a force of 0.095 N. The spheres are now connected by a thin conducting wire. After the wire is removed, the spheres are positively charged and repel one another with a force of 0.032 N. Find (a) the final and (b) the initial charges on the spheres Submit My Answers Give Up Incorrect; Try Again; 6 attempts remaining Part B Express your answer using two significant figures. Enter your answers numerically separated by a comma 1i921 Submit My Answers Give Up

Explanation / Answer

F=k q1 *-q2/ r^2

q1 *-q2= F r^2 / K =0.095×0.42²÷(9*10^9)

q1 q2 =- 1.86*10^-12 C^2 ----------1

(q1-q2)/2 = q ---------2

q1 q2= F r^2 / K =0.032×0.42²÷(9*10^9)

q*q =6.272*10^-12 C^2

q=2.504*10^-6 C ----------3

3 in 2:

q1-q2 = 2*2.504*10^-6 C =5.008*10^-6 C -----4

q1= 5.008*10^-6 +q2

from 1:

(5.008*10^-6 + q2)*q2 =-1.86*10^-12

q2^2 +5.008*10^-6 q2 +1.86*10^-12 = 0

q2=4.6*10^-6 C ,0.4*10^-6 C

q1=-0.404*10^-6 C, -4.65*10^-6 C

After connectec:

2.098*10^-6 C on each sphere

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