Answer
(a) $a = 5~m/s^2$
(b) $a = 20~m/s^2$
(c) $a = 10~m/s^2$
(d) $a = 2.5~m/s^2$
Work Step by Step
We know that $F = ma$.
We can express the acceleration as follows:
$a = \frac{F}{m} = 10~m/s^2$
(a) $a_1 = \frac{(F/2)}{m}$
$a_1 = \frac{1}{2}~\frac{F}{m}$
$a_1 = \frac{10~m/s^2}{2}$
$a_1 = 5~m/s^2$
(b) $a_2 = \frac{F}{(m/2)}$
$a_2 = 2~\frac{F}{m}$
$a_2 = (2)(10~m/s^2)$
$a_2 = 20~m/s^2$
(c) $a_3 = \frac{(F/2)}{(m/2)}$
$a_3 = \frac{F}{m}$
$a_3 = 10~m/s^2$
(d) $a_4 = \frac{(F/2)}{(2m)}$
$a_4 = \frac{1}{4}~\frac{F}{m}$
$a_4 = \frac{10~m/s^2}{4}$
$a_4 = 2.5~m/s^2$
