If your weight on the Earth is $450 N$,calculate your weight on planet Mars. (Radius of Mars $= 4.3 \times 10^{6} m$,mass of Mars $= 6 \times 10^{23} kg$ and gravitational constant $G = 6.67 \times 10^{-11} Nm^{2} kg^{-2}$). Take acceleration due to gravity on Earth as $10 m s^{-2}$.

(97.2 N) Weight on Earth $(W) = 450 N$
Acceleration due to gravity on Earth $(g) = 10 m s^{-2}$
Therefore,the mass of the body $(m) = \frac{W}{g} = \frac{450}{10} = 45 kg$.
Now,the acceleration due to gravity on the surface of Mars $(g_{m})$ is calculated using the formula $g_{m} = \frac{GM_{m}}{R_{m}^{2}}$.
Substituting the values: $g_{m} = \frac{6.67 \times 10^{-11} \times 6 \times 10^{23}}{(4.3 \times 10^{6})^{2}}$.
$g_{m} = \frac{40.02 \times 10^{12}}{18.49 \times 10^{12}} \approx 2.16 m s^{-2}$.
Therefore,weight on Mars $= m \times g_{m} = 45 \times 2.16 = 97.2 N$.