The acceleration is [tex]a=18.9\mathrm{\frac{m}{s^2}}[/tex] and force is [tex]F=1081\mathrm{N}[/tex].
Newtons second law of motion that when an object is accelerating its force (weight in current context) can be calculated using his mass:
[tex]F=ma[/tex]
If we express mass:
[tex]m=\frac{F}{a}[/tex]
We first need to find mass since mass won't change no matter the acceleration.
If we know that acceleration on earth equals [tex]g\approx10\mathrm{\frac{m}{s^2}}[/tex] then we can calculate our mass:
[tex]m=\frac{F}{g}=\dfrac{1081\mathrm{N}}{10\mathrm{\frac{m}{s^2}}}=108.1\mathrm{kg}[/tex]
Then we use this mass and calculate our weight on a different planet:
[tex]F=ma=108.1\mathrm{kg}\cdot18.9\mathrm{\frac{m}{s^2}}=\boxed{2043.09\mathrm{N}}[/tex]
Hope this helps.
Edit one:
Also note that I have rounded [tex]g[/tex] to [tex]10\mathrm{\frac{m}{s^2}}[/tex] if wish to get more precise results use [tex]g\approx9.81\mathrm{\frac{m}{s^2}}[/tex].
