From Newton's Second Law of Motion, we know that if a force F acts over a particle with mass m, it will accelerate at a rate a given by the equation:
[tex]F=ma[/tex]
In the problem, the force and the acceleration of the astronaut are given. Isolate m from the equation and replace F=1100N and a=5.5m/s^2 to find the mass of the astronaut:
[tex]\Rightarrow m=\frac{F}{a}=\frac{1100N}{5.5\frac{m}{s^2}}=200kg[/tex]
Therefore, the mass of the astornaut including his/her gear is equal to 200kg.
