Final answer:
The magnitude of the electrical force on an electron from an object with a charge of +3.0x10^-6 C, located 0.10 cm away, is approximately 4.3 x 10^-14 N, calculated using Coulomb's law.
Step-by-step explanation:
To determine the magnitude of the electrical force FO on an electron that is exerted by an object with an electric charge, we can use Coulomb's law, which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. The formula is given by:
F = k * |q1 * q2| / r^2
where k is Coulomb's constant (8.9875 x 109 N m2/C2), q1 and q2 are the charges, and r is the distance between the charges. In this case, the charge on the electron is -1.60 x 10-19 C, the charge of the object is +3.0 x 10-6 C, and the distance r is 0.10 cm or 0.001 m (since we need to convert it to meters for consistency with SI units).
Applying the values to Coulomb's law:
F = (8.9875 x 109 N m2/C2) * |-1.60 x 10-19 C * 3.0 x 10-6 C| / (0.001 m)2
After calculating, we get:
F ≈ 4.3 x 10-14 N
The magnitude of the electrical force FO exerted on the electron is approximately 4.3 x 10-14 N.