Answer:
q = -1.61x10⁻¹⁷ C
Step-by-step explanation:
The charge of the particle can be found using the definition of the work done by electric force:
(1)
Where:
q: is the charge
ΔV: is the difference in electric potential
The work is also equal to:
(2)
Where:
and
are the electric potential energy of the points A and B, respectively.
Now, by conservation of energy we have:
(3)
Where:
and
are the kinetic energy of the points A and B, respectively.
Rearranging equation (3):


Solving the above equation for q:
Therefore, the charge of the particle is -1.61x10⁻¹⁷ C.
I hope it helps you!