Math Problem Statement
A bag of sugar weighs 1.00 lb on Earth. What would it weigh in Newtons on the Moon, where the free-fall acceleration is one-sixth that on Earth?
Solution
To find the weight of the sugar bag in Newtons on the Moon, we can go through the following steps:
Step 1: Convert Weight on Earth from Pounds to Newtons
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A weight of 1.00 lb on Earth is equivalent to a force in Newtons, since weight is the force of gravity acting on an object.
To convert from pounds to Newtons: So, the weight of the sugar bag on Earth is:
Step 2: Calculate the Weight on the Moon
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On the Moon, the gravitational acceleration is one-sixth of that on Earth. Therefore, the weight of the sugar bag on the Moon is also one-sixth of its weight on Earth.
Answer
The weight of the 1.00 lb sugar bag on the Moon would be approximately:
Would you like additional details or have any questions?
Related Questions
- How would the weight change if the gravitational acceleration were one-fourth that of Earth?
- What would the sugar bag’s weight be on a planet with twice the Moon’s gravitational acceleration?
- How do we calculate weight on a celestial body with unknown gravitational force?
- What would the sugar bag's mass be in kilograms?
- How do other planets’ gravity affect weights similarly?
Tip
Weight varies depending on the gravitational field strength, but mass stays constant regardless of location.
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Math Problem Analysis
Mathematical Concepts
Weight Conversion
Gravitational Acceleration
Formulas
Weight (N) = Mass (kg) × Gravitational Acceleration (m/s^2)
1 lb = 4.448 N
Theorems
Weight varies with gravitational field strength
Suitable Grade Level
Grades 9-12
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