Explanation:
Given that,
Weight of the astronaut on the surface of Earth, W = 450 N
We know that the acceleration due to gravity on the earth is, [tex]g=9.8\ m/s^2[/tex]
Weight of an object is given by, W = mg
[tex]m=\dfrac{W}{g}[/tex]
[tex]m=\dfrac{450\ N}{9.8\ m/s^2}[/tex]
m = 45.91 kg
Also, the acceleration due to gravity on the surface of moon is one -sixth of the acceleration due to gravity on the surface of Earth, [tex]g'=1.62\ m/s^2[/tex]
As mass remains constant. So, the weight on the moon is :
W' = mg'
[tex]W'=45.91\times 1.62[/tex]
W' = 74.37 N
Hence, this is the required solution.