A charge q1=7.00 x 10^-6 is placed 0.300m from a second charge q2=-5x10^-6 C. Find the magnitude the force between the two charges.
This is coulomb's law.
To find the magnitude of the force between the two charges, we can use Coulomb's Law. Coulomb's Law states that the force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. Mathematically, it can be written as:
F = k * |q1| * |q2| / r^2
where F is the magnitude of the force, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
In this case, q1 = 7.00 x 10^-6 C, q2 = -5.00 x 10^-6 C, and r = 0.300 m. Note that the charges are both given in coulombs and the distance is given in meters.
Substituting these values into the formula, we have:
F = (8.99 x 10^9 Nm^2/C^2) * |7.00 x 10^-6 C| * |-5.00 x 10^-6 C| / (0.300 m)^2
Now we can perform the calculations:
F = (8.99 x 10^9 Nm^2/C^2) * (7.00 x 10^-6 C) * (5.00 x 10^-6 C) / (0.300 m)^2
F ≈ 2.098 N (rounded to three significant figures)
Therefore, the magnitude of the force between the two charges is approximately 2.098 N.