Complete Question
The complete question is shown on the first uploaded image
Answer:
A
The potential of this system is
B
The electric potential at point p is
C
The work required is
D
The speed of the charge is
Explanation:
A sketch to explain the question is shown on the second uploaded image
Generally the potential energy for a system of two charges is mathematically represented as
where k is the electrostatic constant with a value of
q is the charge with a value of
d is the distance given as
Now we are given that and
and
Now substituting values
The electric potential at point P is mathematically obtained with the formula
I.e the potential at plus the potential at
Now potential at is mathematically represented as
and the potential at is mathematically represented as
Now substituting into formula for potential at P
The Workdone to bring the third negative charge is mathematically evaluated as
From the Question are told that the charge would a force and an acceleration which implies that all its potential energy would be converted to kinetic energy.This can be mathematically represented as
Where
Now making v the subject we have
