Two point-like charges Q_1 = -200 mu C and Q_2 = 0.4 mu C are initially at a dis

Question

Two point-like charges Q_1 = -200 mu C and Q_2 = 0.4 mu C are initially at a distance of 30 m from each other and are moving in opposite directions with initial kinetic energies K_1 = 4 J and K_2 = 10 J respectively. Calculate the initial potential energy of the two-charge system. Calculate the initial total energy (i.e. kinetic energy + potential energy) of the two-charge system. Calculate the maximum distance the two charges will reach from each other before they begin to reverse their direction of motion.

Explanation / Answer

1)

Initial potential energy

U = kQ1Q2/R

U = -24 J

2)

Initial total energy

E = U +K1+K2

E = -10 J

3)

conserving energy

Initial energy = Final potential energy

-10 = kQ1Q2/d

d = 72 m

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