Answer
(a) $a$ = $5$$\ m/ s^{2}$
(b) $a$ = $20.0$$\ m/ s^{2}$
(c) $a$ = $10.0$$\ m/ s^{2}$
(d) $a$ = $2.5$ $\ m/s^{2}$
Work Step by Step
$F = ma$
$a$ = ($\frac{F}{m}$) = $10.0$ $\frac{m}{s^{2}}$
(a) $a$ = ($\frac{F}{2m})$ = $\frac{10.0 m/s^{2}}{2}$ = $5$$\ m/ s^{2}$
(b) $a$ = $\frac{F}{(m/2)}$ = $\frac{2F}{m}$ = ($2$)($10.0$$\ m/ s^{2}$) = $20.0$$\ m/ s^{2}$
(c) $a$ = $\frac{(2F)}{(2m)}$ = $\frac{F}{m}$ = $10.0$$\ m/ s^{2}$
(d) $a$ = $\frac{F}{2(2m)}$ = $\frac{F}{4m}$ = $\frac{10.0m/s^{2}}{4}$ = $2.5$$\ m/s^{2}$
