$.$ Beth the astronaut needs to get back to the ISS before the ISS Christmas party starts. Beth has a mass of $70$ kg and is floating in space in a $110$ kg MMU $($manned maneuvering unit$).$ She experiences an acceleration of $0\mathrm{.}029$ m$/$s$2$ when she fires one of the MMU$$s thrusters. $($a$)$ If the speed of the escaping gas relative to Beth is $490$ m$/$s how much gas is used by the thruster in $5\mathrm{.}0$ s$?($b$)$ What is the thrust of the thruster?