Answer:
![0.002 N/C](https://tex.z-dn.net/?f=0.002%20N%2FC)
Explanation:
Parameters given:
Charge of object, q = 5 mC = ![5 * 10^{-3} C](https://tex.z-dn.net/?f=5%20%2A%2010%5E%7B-3%7D%20C)
Acceleration of object, a = ![0.005 m/s^2](https://tex.z-dn.net/?f=0.005%20m%2Fs%5E2)
Mass of object, m = 2.0 g
The Electric field exerts a particular force on the object, causing it to accelerate (Electrostatic force).
We know that Electrostatic force, F, is given in terms of Electric field, E, as:
F = qE
This means that the object exerts a force of -qE on the Electric force (Action with equal and opposite reaction).
The object also has a force, F, due to its acceleration a. This force is the product of its mass and acceleration. Mathematically:
F = ma
Equating the two forces of the object, we get:
-qE = ma
=> ![E = \frac{-ma}{q}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B-ma%7D%7Bq%7D)
Solving for E, we have:
![E = \frac{-2 * 10^{-3} * 0.005}{5 * 10^{-3}} \\\\\\E = -0.002 N/C](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B-2%20%2A%2010%5E%7B-3%7D%20%2A%200.005%7D%7B5%20%2A%2010%5E%7B-3%7D%7D%20%5C%5C%5C%5C%5C%5CE%20%3D%20-0.002%20N%2FC)
The magnitude will be:
![|E| = |-0.002| N/C = 0.002 N/C](https://tex.z-dn.net/?f=%7CE%7C%20%3D%20%7C-0.002%7C%20N%2FC%20%3D%200.002%20N%2FC)
The electric field has a magnitude of 0.002 N/C.