A 1.25x106 kg deep space exploration ship sits motionless in deep space studying a far off star. The crew decide to launch a 500 kg probe towards the star. The probe leaves the ship with a velocity of 1,200 m/s towards the star.
a. What velocity does the ship have after the launch of the probe?
b. Assuming the ship's engines can produce a force of 3.67x105 N, how long must they fire to bring the ship back to motionlessness (i.e. to a complete stop)?