Answer:
A. 0.8 m/s to the right
Explanation:
To find the momentum of the second astronaut, we need the momentum of the first one.
The momentum of astronaut 1, we will call it [tex]p_{1}[/tex], is equal to mass * velocity:
[tex]p_{1} =82.6*-0.7\\p_{1} =-57.82[/tex]
The momentum is negative since the left direction is considered negative.
Use the formula [tex]\frac{p}{m} =v[/tex] to find velocity:
[tex]57.82/72.3 = v\\0.7999 = v\\ 0.8 = v[/tex]
The astronaut must be moving to the right, since the first astronaut gave an impulse to the other astronaut to the right, therefore: 0.8m/s to the right.
