Answer:
-0.0225 N/C
Explanation:
First of all, we can calculate the force exerted on the object, which is given by:
F = ma
where
[tex]m=3.0\cdot 10^{-3} kg[/tex] is the mass
[tex]a=2.4\cdot 10^3 m/s^2[/tex] is the acceleration
Substituting,
[tex]F=(3.0\cdot 10^{-3}kg)(2.4\cdot 10^3 m/s^2)=7.2 N[/tex]
and the direction is the same as the acceleration (+x axis).
Now the electric force is given by
[tex]F=qE[/tex]
where
[tex]q=-32 C[/tex] is the charge
E is the electric field
Solving for E, we find
[tex]E=\frac{F}{q}=\frac{7.2 N}{-32 C}=-0.225 N/C[/tex]
and the negative sign means the direction is -x axis.
