Answer:
(a) 5.73 * 10¹³ m/s²
(b) 4.99 * 10⁵ m/s
Explanation:
(a) We know that Electrical force is the product of electric charge and electric field:
F = qE
We also know that Force is the product of mass and acceleration:
F = ma
Therefore, equating both of them:
ma = qE
Acceleration, a, will be:
a = (qE) / m
Electric charge of a positron = 1.602 * 10^(-19) C
Mass of a positron = 9.11 * 10^(-31) kg
Acceleration will be:
a = (1.602 * 10^(-19)) * 9.11 * 10^(-31)) / 326
a = 5.73 * 10¹³ m/s²
(b) Acceleration is the time rate of change of velocity. It is given as:
a = v/t
Velocity, v, will then be:
v = a * t
Time, t = 8.7 * 10^(-9) s
Therefore, velocity will be:
v = 5.73 * 10^(13) * 8.7 * 10^(-9)
v = 49.85 * 10⁴ m/s = 4.99 * 10⁵ m/s
