Answer:
50 lb
Explanation:
Given,
The weight of astronaut's life support backpack on Earth (w) = 300 lb
Acceleration due to gravity on Earth (g) = 9.8 m/s²
Acceleration due to gravity on Moon = g'
[tex]g'=\frac{g}{6}[/tex]
We know that weight of an object on Earth is,
[tex]w = m\times g[/tex]
[tex]m = \frac{w}{g}[/tex]
Similarly, weight on Moon will be
[tex]w' = m\times g'[/tex]
[tex]w' = \frac{w}{g}\times\frac{g}{6}[/tex]
[tex]w' = \frac{300}{6}[/tex]
[tex]w' = 50[/tex]
Thus the astronaut's life support backpack will weigh 50 lb on Moon.
