To calculate your weight on Mercury, we need to consider the difference in gravitational acceleration between Earth and Mercury. The acceleration due to gravity on Earth is approximately 9.8 meters per second squared (9.8 m/s²), while on Mercury, it is about 3.7 m/s².

To find your weight on Mercury, we can use the formula:

Weight on Mercury = Weight on Earth * (Gravitational acceleration on Mercury / Gravitational acceleration on Earth)

Let's substitute the values:

Weight on Mercury = 100 N * (3.7 m/s² / 9.8 m/s²)

Weight on Mercury ≈ 38 N

Therefore, if you weigh 100 newtons on Earth, you would weigh approximately 38 newtons on Mercury.