Answer: 45 pounds
Step-by-step explanation:
Given: The force of gravity on the moon is approximately one sixth that of the earth. The direct variation formula for weight on the earth compared to weight on the moon would be [tex]e = 6m[/tex], where e = weight on the earth and m = weight on the moon.
The approximate weight of space suit on earth=90 pounds
The weight of man on earth=180 pounds
Therefore, the total weight of the man with space suit (e)=[tex]90+180=270\text{ pounds}[/tex]
Substitute the value of e in the given formula , we get
[tex]270=6m\\\\\Rightarrow m=\frac{270}{6}\\\\\Rightarrow m=45\text{ pounds}[/tex]
Hence, the weight of a 180 pound man wearing a space suit on the moon = 45 pounds
