Question

Two charged objects with mass are initially 1 meter apart. If we increase the distance between them to 2 meters, which of the following statements are true?

1. The electrostatic force between the two objects decreases by 4x.
2. The electrostatic force between the two objects increases by 2x.
3. The gravitational force between the two objects increases by 2x.
4. The gravitational force between the two objects decreases by 4x.
Options:

A. 1 only
B. 2 only
C. 3 only
D. 4 only
E. 1 and 3
F. 2 and 4
G. 1, 2, and 3
H. 1, 3, and 4
I. 2, 3, and 4

Answer 1

The correct statements when the distance between two charged objects is increased from 1 to 2 meters are that both the electrostatic force and the gravitational force decrease by 4 times, according to Coulomb's law and Newton's law of universal gravitation.

Step-by-step explanation:

When two charged objects with mass are initially 1 meter apart, and the distance between them is increased to 2 meters, the following statements are true:

1. The electrostatic force between the two objects decreases by 4x.
2. The gravitational force between the two objects decreases by 4x as well.

Coulomb's law states that the electrostatic force is inversely proportional to the square of the distance between two objects, which implies that when the distance is doubled, the force is reduced to one-fourth of its original value (2² = 4).

Similarly, Newton's law of universal gravitation states that the gravitational force is also inversely proportional to the square of the distance between two masses. Therefore, when the distance is doubled, the gravitational force is also reduced to one-fourth of its original value.