Answer:
A: -2.6 × 10^(-6) C and 2.6 × 10^(-6) C
Explanation:
According to coulombs law, the formula for the force between 2 charged particles is;
F = kq1•q2/r²
Where;
F is Force = |1N|
q1 and q2 are the charges of both particles
k is coulombs constant = 9 × 10^(9) N.m²/C²
r is distance between particles = 0.25
Now, the force |1N| means -1 or +1
Thus;
-1 = 9 × 10^(9) × q1•q2/(0.25)²
Or
1 = 9 × 10^(9) × q1•q2/(0.25)²
Thus;
q1•q2 = -6.94 × 10^(-12)
Or q1•q2 = 6.94 × 10^(-12)
Now, we are told that the magnitude of both charges are the same.
Thus;
q² = 6.94 × 10^(-12)
q = √(6.94 × 10^(-12))
q = 2.6 × 10^(-6) C
Since from earlier, we saw that;
q1•q2 = -6.94 × 10^(-12)
Or q1•q2 = 6.94 × 10^(-12)
Thus means that one of the charges will be negative while the other will be positive.
Thus, the charges are;
-2.6 × 10^(-6) C and 2.6 × 10^(-6) C
