Question

The force between two objects of charge +Q and -2Q, respectively, is measured as -2F. If the charge on the first object is doubled and the distance between the objects is doubled, what will the force between the objects become?

a. -F

b. -1/2 F

c. -2F

d. -1/4 F

Answer 1

The force between two charged objects is given by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them. If the charge on the first object is doubled and the distance between the objects is doubled, the force between the objects will become -F.

Step-by-step explanation:

The force between two charged objects is given by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them. In this case, we have one object with charge +Q and another object with charge -2Q, and the force between them is measured as -2F.

If the charge on the first object is doubled, it becomes +2Q, and if the distance between the objects is doubled, it becomes 2d. Plugging these values into Coulomb's law, we get:

Force = (k * 2Q * (-2Q)) / (2d)^2 = -F

Therefore, the force between the objects becomes -F.