Question

PLEASE ANSWER ALL QUESTIONS. ROUND ANSWER TO THE FOURTH DECIMAL PLACE WHEN NEEDED

Question 1 (1.5 points) A total charge of 3.71 C is distributed on two metal spheres. When the spheres are 10.00 cm apart, they each feel a repulsive force of 4.1*10^11 N. How much charge is on the sphere which has the lower amount of charge? Your Answer: Answer Question 2 (0.5 points) A metal ball has - 9 Coulomb of charge. If it receives 0.50*10^20 number of electrons, what will be the resultant charge of the ball? Your Answer: Answer units

Answer 1

ONE QUESTION AT A TIME AS PER THE GUIDELINES

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1)

q1 + q2 = 3.71 C

F = kq1q2 / r² = 9e9 * q1q2 / 0.1² = 4.1e11  

q1q2 = 0.4555

so,

q1 ( 3.71 - q1) = 0.4555

3.71 q1 - q1² = 0.4555

q1² - 3.71 q1 + 0.4555 = 0

solve this quadratic, I got

q1 = 3.71 +/- 3.4557 / 2

q1 = 3.582 C

and

q1 = 0.12715 C

so,

lower charge is 0.12715 C

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2)

1 electron = - 1.6e-19 C

so,

0.50e20 electrons = - 8 C

so,

resultant charge = -17 C