What are the forces on two charges of +0.43 C and +1.4 C, respectively, if they are separated by a distance of 3.7 m?
attract
To determine the forces between two charges, we can use Coulomb's Law. Coulomb's Law states that the force (F) between two charges (q1 and q2) is directly proportional to the product of their charges and inversely proportional to the square of the distance (r) between them. Mathematically, it is given by:
F = k * ((q1 * q2) / r^2),
where F is the force between the charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is Coulomb's constant (k ≈ 9 × 10^9 N*m^2/C^2).
In this case, we have two charges: q1 = +0.43 C and q2 = +1.4 C, separated by a distance of r = 3.7 m.
To find the forces between them, we need to substitute these values into Coulomb's Law equation:
F = (9 × 10^9 N*m^2/C^2) * ((0.43 C * 1.4 C) / (3.7 m)^2).
Now, we can calculate the forces:
F = (9 × 10^9 N*m^2/C^2) * (0.602 C^2 / 13.69 m^2).
F = (9 × 10^9 N*m^2/C^2) * 0.0439 C^2/m^2.
F ≈ 3.93 × 10^8 N.
Therefore, the force between the two charges is approximately 3.93 × 10^8 Newtons.