Question

When separated by distance d, identically charged point-like objects A and B exert a force of magnitude F on each other. If you reduce the charge of A to one-half its original value, and the charge of B to one-tenth, and reduce the distance between the objects by half, what will be the new force that they exert on each other in terms of force F

Answer 1

F = F₀ 0.2

Step-by-step explanation:

For this exercise we apply Coulomb's law with the initial data

F₀ = k q_A q_B / d²

indicate several changes

q_A ’= ½ q_A

q_B ’= 1/10 q_B

d ’= ½ d

let's substitute these new values ​​in the Coulomb equation

F = k q_A ’q_B’ / d’²

F = k ½ q_A 1/10 q_B / (1/2 d)²

F = (k q_A q_B / d2) ½ 1/10 2²

F = F₀ 0.2