Four identical point masses, each of mass m a | vedclass

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(C) According to the principle of conservation of energy, the initial total energy of the system must equal the final total energy.Since the particles

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$\frac{q^{2}}{a}(4+\sqrt{2}) k$

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(C) According to the principle of conservation of energy, the initial total energy of the system must equal the final total energy.Since the particles are released from rest, the initial kinetic energy $KE_i = 0$.The initial potential energy $PE_i$ is the sum of the electrostatic potential energies of all pairs of charges.In a square of side $a$, there are $4$ pairs of charges at distance $a$ (sides) and $2$ pairs of charges at distance $\sqrt{2}a$ (diagonals).$PE_i = 4 	imes \frac{kq^2}{a} + 2 	imes \frac{kq^2}{\sqrt{2}a} = \frac{kq^2}{a} (4 + \sqrt{2})$.When the particles are infinitely far apart, the final potential energy $PE_f = 0$.Thus, $KE_f = PE_i = \frac{kq^2}{a} (4 + \sqrt{2})$.

Four identical point masses, each of mass $m$ and carrying charge $+q$, are placed at the corners of a square of side $a$ on a frictionless horizontal surface. If the particles are released simultaneously, the kinetic energy of the system when they are infinitely far apart is

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