Question

What is the electric force between two charges? Charge one has a charge of 10 C and charge two has a charge of 8 C. The charges are 3,032 m apart. Round your answer to the fourth decimal place. A) 2.0942 × 10^4 N B) 2.0548 × 10^4 N C) 1.0942 × 10^4 N D) 1.0548 × 10^4 N

Answer 1

The electric force between two charges of 10 C and 8 C separated by 3,032 m is calculated using Coulomb's law to be 2.0942 x 10^4 N, which corresponds to option A.So, the correct option is C) 1.0942 × 10^4 N.

Step-by-step explanation:

The electric force between two charges can be calculated using Coulomb's law, which states that the force (F) between two point charges is proportional to the product of their charges (q1 and q2), and inversely proportional to the square of the distance (r) between them. The constant of proportionality is the Coulomb's constant (k), which has a value of approximately 8.99 x 10^9 N·m^2/C^2. Applying Coulomb's law:

F = k * |q1 * q2| / r^2

Filling in the given values:

F = (8.99 x 10^9 N·m^2/C^2) * |10 C * 8 C| / (3,032 m)^2 = 2.0942 x 10^4 N

So, the correct answer is A) 2.0942 × 10^4 N.