If two 1.0-C charges have a force between them of 1.0 N,what is their separation? A) 8.1 × 10¹⁹ m B) 1.0 m C) 9.5 × 10⁴ m D) 9.0 × 10¹⁰ m

Question

Quizplus · Accepted Answer

Coulomb's Law states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Using Coulomb's Law, we have:
F = k*q1*q2 / r^2
where F is the force between the charges, q1 and q2 are the charges, r is the distance between the charges, and k is Coulomb's constant. Solving for r, we get:
r = sqrt(k*q1*q2 / F)
Plugging in the given values, we get:
r = sqrt((9*10^9 N*m^2/C^2)*(1.0 C)*(1.0 C) / (1.0 N))
r = 9.5*10^-4 m
which is approximately equal to 9.5*10^-11 m or 0.95 nm. Therefore, the correct answer is C.

If Two 10-C Charges Have a Force Between Them of 1