An astronaut weighs \(800 \mathrm{~N}\) on the earth's surface where the acceleration of gravity is \(g=9.83 \mathrm{~m} / \mathrm{s}^{2}\). The mass and the radius of the moon are \(7.4 \times 10^{22} \mathrm{~kg}\) and \(3500 \mathrm{~km}\) respectively. Find out the value of \(g\) on the moon. Also calculate the weight of the astronaut on the moon.