Given:
• Acceleration of rocket = 28.0 m/s²
,• Mass of astronaut = 95 kg
Let's find the apparent weight of the astranaut.
In a direct rocket motion, as we are coming towards the Earth the weight reduces while as the rocket is going up, you feel more weighted.
Now, to find the apparent weight of the astranaut, apply the formula:
[tex]A_w=m(g+a)[/tex]Where:
Aw is the apparent weight
m is the mass = 95 kg
g is acceleration due to gravity = 9.8 m/s²
a is the acceleration of the rocket = 28.0 m/s²
Thus, we have:
[tex]\begin{gathered} A_w=95(9.8+28) \\ \\ A_w=95(37.8) \\ \\ A_w=3591\text{ N }\approx3.591\text{ kN} \end{gathered}[/tex]Therefore, the apparent weight of the astranaut is 3.591 kN
ANSWER:
3.591 kN