How close to the fixed charge does the particle get before it comes to rest and starts traveling away?
A positive charge of 4.80 C is fixed in place. From a distance of 4.10 cm a particle of mass 6.80 g and charge +3.50 C is fired with an initial speed of 80.0 m/s directly toward the fixed charge. How close to the fixed charge does the particle get before it comes to rest and starts traveling away?
Let q(1) be the fixed charge and q(2) the moving one with speed V. Let d be the initial distance between the two charges and x the distance when the moving charge stops. Conservation of the total energy requires that the initial energy (sum between potential and kinetic energy equates the final potential energy i.e.
mV^2/2+kq(1)q(2)/d=q(1)q(2)k/x (1)
solve (1) for x in order to obtain the required result
The Battle of Waterloo – Charge of the British Heavy Cavalry
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