Answer
(a) F = 80.0 N
(b) The rocket would certainly work in space since we can apply principles of conservation of momentum in space.
We could steer the rocket by firing the thrusters at different angles. We could brake the rocket if we could fire the thrusters to oppose the direction of motion.
Work Step by Step
(a) $F = -v_{ex}\frac{dm}{dt}$
$F = (1600~m/s)\frac{0.0500~kg}{1~s}$
$F = 80.0~N$
(b) The rocket would certainly work in space since we can apply principles of conservation of momentum in space.
We could steer the rocket by firing the thrusters at different angles. We could brake the rocket if we could fire the thrusters to oppose the direction of motion.