Final answer:
If you weigh 750 N on Earth, your weight on the moon, where acceleration due to gravity is 1.6 m/s², would be approximately 122.45 N or about 27.52 pounds.
Step-by-step explanation:
If you weigh 750 N on Earth, to find out what you would weigh on the moon, you'll need to calculate the weight using the moon's acceleration due to gravity, which is 1.6 m/s². Since weight is the product of mass and the acceleration due to gravity, you can use the following relationship to find your mass on Earth: mass = weight / gravity, where gravity is 9.8 m/s² on Earth. Once you have your mass, you can then find the weight on the moon by multiplying the mass by the moon's gravity.
Mass on Earth = 750 N / 9.8 m/s² = 76.53 kg (approximately)
Weight on the moon = Mass × Moon's gravity = 76.53 kg × 1.6 m/s² = 122.45 N (approximately)
To convert this weight into pounds, you divide by the conversion factor: Weight in pounds = 122.45 N / 4.45 N/lb = 27.52 lb (approximately).