Question

Objects 1 and 2 attract each other with a electrostatic force of 18.0 units. If the charge

of Object 1 is doubled AND the charge of object 2 is tripled, then the new electrostatic
force will be _____ units.

Answer 1

new force is 6 times of the initial force.

Step-by-step explanation:

Let the charges on two objects is q₁ and q₂. The electric force between charges is given by :

`F=(kq_1q_2)/(r^2)`

Objects 1 and 2 attract each other with a electrostatic force of 18.0 units

If the charge of Object 1 is doubled and the charge of object 2 is tripled, it means,
`q_1'=2q_1` and
`q_2'=3q_2`. New force is given by :

`F'=(kq_1'q_2')/(r^2)\\\\F'=(k(2q_1)(3q_2))/(r^2)\\\\F'=6(kq_1q_2)/(r^2)\\\\F'=6F`

So, the new electrostatic force between objects will become 6 times of the initial force.