calculate the electric force between the two charged particles q1=4c and q2=6c the distance between these charges is 9 m
F = k Q1 Q2 / d^2
where k = 9 * 10^9
To calculate the electric force between two charged particles, you can use Coulomb's Law. Coulomb's Law states that the electric force (F) between two charged particles is directly proportional to the product of their charges (q1 and q2) and inversely proportional to the square of the distance (r) between them. The formula is:
F = ((k * q1 * q2) / r^2),
Where k is the electrostatic constant equal to 9 x 10^9 Nm^2/C^2.
In this case, q1 = 4 C, q2 = 6 C, and the distance r = 9 m. Substituting these values into the formula:
F = ((9 x 10^9 Nm^2/C^2) * (4 C) * (6 C)) / (9 m)^2
First, let's calculate the numerator:
(9 x 10^9 Nm^2/C^2) * (4 C) * (6 C) = (216 x 10^9 Nm^2/C^2)
Now, let's calculate the denominator:
(9 m)^2 = 81 m^2
Finally, divide the numerator by the denominator:
F = (216 x 10^9 Nm^2/C^2) / 81 m^2
Simplifying the units:
F = 2.67 x 10^9 N
Therefore, the electric force between the two charged particles is approximately 2.67 x 10^9 Newtons.