First, we identify the given values in this item:
Electric field intensity, E = 500 N/C
The charge, q, of proton is determined to be equal to 1.6 x10^-19 C.
Electric force given the electric field intensity and charge, can be calculated through the equation,
Fe = qE
Substituting the known values,
Fe = (1.6 x 10^-19 C) x (500N)
Fe = 8 x10^-17 N
Acceleration is calculated by dividing Fe by the mass. The mass of the proton is equal to 9.11 x 10^-31 kg.
a = (8 x 10^-17 N) / (9.11 x 10^-31 kg)
a = 8.78 x 10^13 m/s²
Thus, the acceleration is 8.78 x 10^13 m/s² and the direction is in the positive direction.
