Answer:
(1) 2.05 x 10^4 N/C
(2) Downward
(3) upward, 9.8 m/s^2
(4) upward, 9.8 m/s^2
Explanation:
q = - 2.1 micro coulomb, m = 0.0044 kg, g = 9.8 m/s^2
(1) The electric force is given by F = - q x E
The magnitude of electric force is balanced by the weight of the charged particle
q x E = m x g
E = mg / q
![E = \frac{0.0044 \times 9.8}{2.1 \times 10^{-6}}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B0.0044%20%5Ctimes%209.8%7D%7B2.1%20%5Ctimes%2010%5E%7B-6%7D%7D)
E = 2.05 x 10^4 N/C
(2) As the electric force is acting upward and the weight is downward so the elecric field is in downward direction.
(3) The charge is doubled,
then the electric field becomes half.
E = 2.05 x 10^4 / 2 = 1.025 x 10^4 N/C
The direction is same that is in downward direction.
Acceleration = Force / mass
a = mg / m = 9.8 m/s^2 upward
(4) The charge is doubled,
then the electric field becomes half.
E = 2.05 x 10^4 / 2 = 1.025 x 10^4 N/C
The direction is same that is in downward direction.
Acceleration = Force / mass
a = mg / m = 9.8 m/s^2 upward