Final answer:
The difference in weight of the astronaut's pack between Earth and the moon is 12.66 N.
Step-by-step explanation:
The difference in weight of the astronaut's pack between Earth and the moon can be calculated by subtracting the weight on the moon from the weight on Earth.
Weight on Earth = 16.5 N
Weight on the moon = 3.84 N
Difference in weight = Weight on Earth - Weight on the moon
Difference in weight = 16.5 N - 3.84 N = 12.66 N
Therefore, the difference in weight of the pack between Earth and the moon is 12.66 N.