Object X and object Y, of charge +Q and −2Q, respectively, are separated by a distance r0, as shown in the figure. (a) Determine an equation for the magnitude and direction of the electric force that is exerted on object Y from object X in terms of Q, r0, and physical constants, as appropriate.

(b) The charge of object X is changed so that it has a charge of −4Q, and the separation distance between the two objects is changed to 2r0. In a clear, coherent paragraph-length response that may also contain figures and/or equations, predict how the electric force exerted on object Y from object X changes from part (a), and predict how the net charge of the two object system changes from part (a).

(a) The magnitude of the force electric force F = k ×(+Q) × (-2·Q)/r₀² = -2·Q²/(r₀²) which can be written as follows;

Given that the charge of Y is twice the charge on X, we have the charge X will move towards the charge Y which is the +x direction

(b) The force, F, acting between the charges is given as follows;

When, Q₁ = X = -4Q, Q₂ = Y = -2Q, and r₀ = 2·r₀ we have;

Therefore, the electric force exerted on object Y by the object X is the same and acts in an opposite direction to the force of X on Y in (a)

The net charge of the two objects in part (a) is Q - 2Q = -Q

The net charge of the two objects in part (b) is -4Q - 2Q = -6Q

Therefore, the net charge increases by a factor of 6 in part (b)

Explanation:

when it gains or loses electrons

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach