Question

Scientists experimenting with two charged objects of 2.56 x 10-6 C and 3.34 x 10-7 C displayed a repulsion of 2.26 x 10-3 N. How far apart were the two charged objects during the experiment to the nearest tenth of a meter?

Answer 1

Answer:

Two charged objects are 1.85 m apart

Explanation:

Force between two charges

F = k  q₁ * q₂ / d²

k = 9 * 10⁹ N m² /C²

q₁ = 2.56 x 10⁻⁶ C

q₂ = 3.34 x 10⁻⁷ C

F = 2.26 x 10⁻³ N

d = Distance between two charges in m

d² = k  q₁ * q₂/F

d² =  9 * 10⁹ N * 2.56 x 10⁻⁶ * 3.34 x 10⁻⁷ / 2.26 x 10⁻³

=> d² = 9 * 2.56 * 3.34 * 10⁻¹ / 2.26

=> d² = 3.405

=> d = 1.85 m

Two charged objects are 1.85 m apart