## College Physics (4th Edition)

We can rank the situations in order of magnitude of the particle's acceleration, from largest to smallest: $e \gt c \gt b = d \gt a = f$
Let the electric field $E_0 = 10~N/C$ Let the charge be $q_0 = 1~nC$ Let the mass be $m_0 = 1~pg$ We can find the force on the particle: $F = E_0~q_0$ We can find an expression for the acceleration: $a_0 = \frac{F}{m_0} = \frac{E_0~q_0}{m_0}$ We can find an expression for the acceleration in each case. (a) $a = \frac{(4E_0)~(5q_0)}{(6m_0)} = \frac{10}{3}~a_0$ (b) $a = \frac{(4E_0)~(-5q_0)}{(3m_0)} = -\frac{20}{3}~a_0$ (c) $a = \frac{(8E_0)~(-10q_0)}{(3m_0)} = -\frac{80}{3}~a_0$ (d) $a = \frac{(20E_0)~(-q_0)}{(3m_0)} = -\frac{20}{3}~a_0$ (e) $a = \frac{(30E_0)~(-3q_0)}{(m_0)} = -90~a_0$ (f) $a = \frac{(10E_0)~(-q_0)}{(3m_0)} = -\frac{10}{3}~a_0$ We can rank the situations in order of magnitude of the particle's acceleration, from largest to smallest: $e \gt c \gt b = d \gt a = f$