Respuesta :
The weight of the astronaut at that planet will be "1600 N".
Let,
- The mass of planet, [tex]M' = \frac{1}{2} M_\bigoplus[/tex]
- The radius of planet, [tex]R = \frac{1}{2} R_\bigoplus[/tex]
here,
- [tex]M_\bigoplus[/tex] = Mass of earth
- [tex]R_\bigoplus[/tex] = Radius of earth
Now,
The gravitational acceleration of the planet will be:
→ [tex]g' = \frac{GM'}{R^2}[/tex]
[tex]= \frac{2G M_\bigoplus }{R_\bigoplus ^2}[/tex]
[tex]= 2g[/tex]
hence,
The weight will be:
= [tex]2\times 800[/tex]
= [tex]1600 \ N[/tex]
Thus the above answer is appropriate.
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