What happens to the force between two charged objects as the distance between them changes?
The objects will feel a force between each other only if they are very close.
The objects will feel a greater force when they get closer to each other.
The objects will feel a weaker force when they get closer to each other.
The objects will attract or repel each other, depending on the distance between them.
The correct answer is: The objects will feel a greater force when they get closer to each other.
To understand why this is the case, we need to consider Coulomb's Law, which states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Mathematically, Coulomb's Law can be written as:
F = k * (q1 * q2) / r^2
Where F is the force between the two objects, q1 and q2 are the charges of the objects, r is the distance between them, and k is the electrostatic constant.
From this equation, we can see that as the distance between the objects decreases (r becomes smaller), the force between them increases. This is because the denominator in the equation becomes smaller, causing the overall value of the fraction to increase.
Conversely, as the distance between the objects increases (r becomes larger), the force between them decreases. This is because the denominator in the equation becomes larger, causing the overall value of the fraction to decrease.
Therefore, the force between two charged objects increases as they get closer to each other, and decreases as they move farther apart.