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
1.4×10−2 N
1.4×10−2 N
5.6×10−2 N
5.6×10−2 N
5.6×102 N
5.6×102 N
2.3×101 N
The force between two charges can be calculated using Coulomb's Law, which states F = k * |q1 * q2| / r^2, where F is the force between the charges, k is the Coulomb constant (8.99 x 10^9 N m^2/C^2), q1 and q2 are the charges, and r is the distance between the charges.
With the given values:
q1 = 5.0×10^-5 C
q2 = 2.0×10^-6 C
r = 0.040 m
Plugging in the values:
F = (8.99 x 10^9 N m^2/C^2) * |5.0×10^-5 C * 2.0×10^-6 C| / (0.040 m)^2
F = (8.99 x 10^9 N m^2/C^2) * (1 x 10^-10 C^2) / (0.0016 m^2)
F = (8.99 x 10^-1 N) / (0.0016 m^2)
F = 5.6 x 10^-1 N
Therefore, the force between the charges is 5.6 x 10^-1 N, which is equivalent to 0.56 N. So the closest option is 5.6 x 10^-1 N.