Answer these questions Conservation of Momentum.

F2.8 A rocket (containing a space probe) is travelling at 7000 ms^-1 in outer space. The 2000 kg probe is ejected from the front of the rocket (forwards) using a big spring. If the speed of the probe afterwards is7200 ms^-1, and the rest of the rocket has a mass of 6000 kg, what is the speed of the rest of the rocket?

F2.'7 A 7.90 g bullet is travelling at 200 m s'l. It hits a 3.00 kg sack of sand which is hanging by a rope from the ceiling. The bullet goes into the sack, and is stopped inside it by friction with the sand. How fast is the sack going immediately after the bullet has \"stopped\" inside itl? NB you must give your answer to 3 significant gures to be awarded the mark. F2 .9 F210 In a strange form of billiards, the cue ball is one third the mass of the other balls, which are stripey. There is no spin, and I hit a stripey ball centrally with the cue ball (travelling at 1.4 m s'l) such that the cue ball rebounds in the opposite direction with half of its initial speed. What is the speed of the stripey ball? I am stranded, stationary, in space, but near to my spacecraft. I detach my 30 kg oxygen cylinder, and ing it away from the spacecraft with a speed of 3.0 m s'l. If my mass (without the cylinder) is 80 kg, how fast will I travel in the other direction towards my spacecraft