Object A, which has been charged to +13.13 nC, is at the origin. Object B, which has been charged to -26.7 nC, is at x=0 and y=2.72 cm. What is the magnitude of the electric force on object A?

Respuesta :

ANSWER:

0.004259 N

STEP-BY-STEP EXPLANATION:

Given:

qA = +13.13 nC

qB = -26.7 nC

d = y - x = 2.72 - 0 = 2.72 cm = 0.0272 m

We use Coulomb's law to calculate the force:

[tex]F=k\cdot\frac{q_A\cdot q_B}{d^2}[/tex]

We substitute each value and calculate the force:

[tex]\begin{gathered} F=9\times10^9\cdot\frac{(13.13\times10^{-9})(26.7\times10^{-9})}{(0.0272)^2} \\ \\ F=0.004259\text{ N} \end{gathered}[/tex]

The magnitude of the electric force on object A is 0.004259 N