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
$F = ma$
which can be written as:
$a = \frac{F}{m} = 10~m/s^2$
So,
(a) $a = \frac{(F/2)}{m} = \frac{10~m/s^2}{2} = 5~m/s^2$
(b) $a = \frac{F}{(m/2)} = (2)(10~m/s^2) = 20~m/s^2$
(c) $a = \frac{(F/2)}{(m/2)} = \frac{F}{m} = 10~m/s^2$
(d) $a = \frac{(F/2)}{(2m)} = \frac{F}{4m} = \frac{10~m/s^2}{4} = 2.5~m/s^2$
