Two charged objects separated by some distance attract each other. if the charges on both objects are doubled with no change in distance between them, what happens to the magnitude of the force between the objects?

The magnitude of the force between the objects will be four times the initial force.

Electric charge consists of two types i.e. positively electric charge and negatively electric charge.

There was a famous scientist who investigated about this charges. His name is Coulomb and succeeded in formulating the force of attraction or repulsion between two charges i.e. :

F = electric force (N)

k = electric constant (N m² / C²)

q = electric charge (C)

r = distance between charges (m)

The value of k in a vacuum = 9 x 10⁹ (N m² / C²)

Let's tackle the problem now !

Given:

initial force between objects = F

initial charge of the object = q

final charge of the object = 2q

Unknown:

final force between objects = F' = ?

Solution:

The magnitude of the force between the objects will be four times the initial force.

Grade: High School

Subject: Physics

Chapter: Static Electricity

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2