Answer:
0.54 m/s in opposite direction to the other astonaut
Explanation:
The law of conservation of linear momentum states that the sum of initial momentum equals the sum of final momentum. Initially, since both don't move then initial momentum is zero. Momentum, p is a product of mass and velocity,
expressed as p=mv
Finally, considering that the 73000 kg moves backward, the velocity is -0.5 m/s.
68000v+ (73000*-0.5)=0
V=(73000*0.5)/68000=0.5367647058823 m/s
Rounded off, it is 0.54 m/s and moves opposite the direction of the 73000 kg astronaut