Question A positive charge of 5.0×10−5 C is 0.040 m from a second positive charge of 2.0×10−6 C . Calculate the force between the charges.(1 point) Responses
5.6×102 N
5.6×10−2 N
1.4×10−2 N
2.3×101 N
To calculate the force between two charges, you can use Coulomb's Law:
F = k * |q1 * q2| / r^2
Where:
F = force
k = Coulomb's constant (8.99 x 10^9 N m^2/C^2)
q1 = charge 1 (5.0 x 10^-5 C)
q2 = charge 2 (2.0 x 10^-6 C)
r = distance between the charges (0.040 m)
Plugging in the values:
F = (8.99 x 10^9) * |5.0 x 10^-5 * 2.0 x 10^-6| / (0.040)^2
F = (8.99 x 10^9) * |1.0 x 10^-10| / (0.040)^2
F = (8.99 x 10^-1) / 0.0016
F = 5.61875 x 10^2 N
Therefore, the force between the charges is 5.6 x 10^2 N, which is equivalent to 560 N. So, the closest option is:
5.6 x 10^2 N.