Final answer:
To find out how much you weigh on the Moon, calculate the ratio of the Moon's gravitational acceleration to Earth's (1.67 m/s² on the Moon and 9.8 m/s² on Earth), and multiply your Earth weight by this ratio. This calculation suggests you would weigh approximately 91.31 N on the Moon, although none of the provided options match this exactly, with Option 3 (66 N) being closest, and likely indicative of a rounding error or typo. The correct answer in option 3.
Step-by-step explanation:
If you weigh 539 N on Earth, about how much you would weigh on the Moon can be determined by understanding the effect of gravity on weight. Gravity on the Moon is about 1/6th the strength of gravity on Earth. Considering Earth's gravitational acceleration is approximately 9.8 m/s² and the Moon's is roughly 1.67 m/s², we can calculate your Moon weight by multiplying your Earth weight by the ratio of the Moon's gravity to Earth's gravity (1.67 / 9.8).
So, if you weigh 539 N on Earth, your weight on the Moon would be:
539 N * (1.67 / 9.8) ≈ 91.31 N
Looking at the options provided, none exactly matches the calculated weight, but presumably, one of the choices should be close to the correct weight. It looks like there might be some rounding in the options, or a typo, as none of them are correct. However, Option 3 is the closest to the actual Moon weight of around 91.31 N which would be approximately 90 N when rounded.