Una barra de longitud de 2 m está cargada uniformemente y tiene una carga total de 5nC. Busqué su potencial eléctrico (relativo acero en el infinito) en un punto que se encuentra a lo largo del eje de la barra y está a 3m del centro de la barra?

11.44J/C

Explanation:

To find the electric potential for a point at 3m from one extreme of the bar you use the formula for the electric potential:

Where r = x+3 represent the 3m distance of the charge to a point x in the bar.

dq: differential of charge = λdx. λ is the linear charge density.

k: Coulomb constant = 8.98*10^9 Nm^2/C^2

You can write dq as λdx. Furthermore, If you assume that the other extreme of the bar is at origin of the x-axis you can write the integral as follow:

You replace λ ad k in the last expression:

hence, the electric potential is 11.44J/C

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here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be