The accompanying diagram shows two metal shperes suspended by srtings and separated by a distance of 3.0 meters. the charge on spere A is +5.0*10^-4 coulumb and the charge on speher B is +3.0*10^-5 coulumb. which statement best describes the electrical force between the spheres?
To determine the electrical force between the two spheres, we can rely on Coulomb's Law. Coulomb's Law states that the electrical force between two charged objects is proportional to the product of their charges and inversely proportional to the square of the distance between them.
The equation for Coulomb's Law is:
F = k * (q₁ * q₂) / r²
Where:
F is the electrical force between the charges,
k is the electrostatic constant (~9 x 10^9 Nm²/C²),
q₁ and q₂ are the charges on the spheres, and
r is the distance between the centers of the spheres.
In this case, sphere A has a charge of +5.0 * 10^(-4) C, and sphere B has a charge of +3.0 * 10^(-5) C. The distance between them is 3.0 meters.
Let's plug these values into Coulomb's Law to find the force between the spheres:
F = (9 x 10^9 Nm²/C²) * [(+5.0 * 10^(-4) C) * (+3.0 * 10^(-5) C)] / (3.0 m)²
After performing the calculations, the resulting force will be in Newtons (N).
Now, since the charges are both positive, the force between the spheres will be repulsive, meaning the spheres will push away from each other.