Answer:
Negative charge with a magnitude of 5.9*10^-6C
Explanation:
In order to calculate the required charge, for the penny is able to rise into the air with the given acceleration, you take into account the following formula for the electric force and also the Newton second law:
[tex]F_E=qE=ma[/tex] (1)
FE: electric force:
q: charge = ?
E: electric field = 100N/C
m: mass of the penny = 3.11g = 3.11*10^-3kg
a: acceleration of the charge = 0.190m/s^2
The positive charges experiences a force in the same direction of the electric field, and the negative charge, a force in a opposite direction.
The electric field points downward, then, the charge is negative (it is acceleration upwards).
Next, you solve the equation (1) for a, and replace the values of the other parameters:
[tex]q=\frac{ma}{E}=\frac{(3.11*10^{-3}kg)(0.190m/s^2)}{100N/C}=5.9*10^{-6}C[/tex]
The magnitude of the charge is 5.9*10^-6C and its sign is negative
