Question

A bag of sugar weighs 3.00lb on Earth. What would it weigh in newtons on the Moon, where the free-fall acceleration is one-sixth that on Earth? N Repeat for Saturn, where g is 1.13 times that on Earth. N Find the mass of the bag of sugar in kilograms at each of the three locations. Earth kg Moon kg Saturn kg

Answer 1

The bag of sugar, with a mass of 1.36078 kg, weighs about 2.23 N on the Moon and 14.96 N on Saturn. Its mass remains constant across different celestial bodies.

Step-by-step explanation:

First, let's convert the weight of the bag of sugar from pounds to kilograms noting that 1 pound is approximately 0.453592 kilograms. That gives us a mass: M = 3.00 lb × 0.453592 kg/lb = 1.36078 kg. The mass of the bag remains constant regardless of location. Now we'll use the formula for weight, W = mg, with 'm' as the mass and 'g' as the acceleration due to gravity. On Earth, g = 9.80 m/s². On the Moon, g is one-sixth of that on Earth, and on Saturn, it is 1.13 times the Earth's gravity. Moon: W = 1.36078 kg × (1/6) × 9.80 m/s² ≈ 2.23 N, Saturn: W = 1.36078 kg × 1.13 × 9.80 m/s² ≈ 14.96 N.In summary, the bag of sugar weighs approximately 2.23 N on the Moon and 14.96 N on Saturn. Its mass is 1.36078 kg on all three locations: Earth, Moon, and Saturn.