Final answer:
If you weigh 500 N on Earth, you would weigh approximately 189.21 N on Mars, calculated by first determining your mass on Earth and then applying Mars's gravity to find your Martian weight.
Step-by-step explanation:
To calculate your weight on Mars if you weigh 500 Newtons on Earth, we must compare the acceleration due to gravity on both planets. Gravity on Earth is approximately 9.81 m/s², and on Mars, it is 3.71 m/s². Weight is the product of mass times the acceleration due to gravity (W=mg), so we can find your Earth mass by dividing your Earth weight by Earth's gravity, which yields a mass of approximately 51 kg (500 N / 9.81 m/s² = 51 kg). To find your weight on Mars, we multiply this mass by Mars's gravity: 51 kg × 3.71 m/s² = 189.21 N. Therefore, you would weigh 189.21 N on Mars.