The electric force between a charged foam cup and a positively charged metal sphere is 2.12 newtons. If the charge on the cup is 2.0 × 10-6 coulombs and the charge on the metal sphere is 2.5 × 10-6 coulombs, what is the distance between the two? (k = 9.0 × 109 newton·meter2/coulombs2) 9.0 × 10-1 meters 6.4 × 10-1 meters 3.8 × 10-1 meters 2.8 × 10-1 meters 1.5 × 10-1 meters

Respuesta :

Coulomb's law is given by the equation: F=[tex] \frac{k*q1*q2}{r^{2} } [/tex] where F is the electric force between the two particles, k is the coulomb's constant, q1 is the charge of one particle, q2 is the charge of the second particle and r is the distance between the two particles.

Rearranging the equation in finding the distance would result to:
[tex]r = \sqrt{\frac{k*q1*q2}{F} } = \sqrt{\frac{9x10^9 * 2x10^{-6} * 2.5x10^{-6}}{2.12}} [/tex] = 0.15 or [tex] 1.5x10^{-1} [/tex] meters

Answer:

E. 1.5 x 10^-1 M

Explanation:

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