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?

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
1. 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:
   \[
   1 \text{ lb} = 4.448 \text{ N}
   \]
   So, the weight of the sugar bag on Earth is:
   \[
   1.00 \, \text{lb} \times 4.448 \, \text{N/lb} = 4.448 \, \text{N}
   \]

### Step 2: Calculate the Weight on the Moon
2. 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.

   \[
   \text{Weight on Moon} = \frac{4.448 \, \text{N}}{6} = 0.7413 \, \text{N}
   \]

### Answer
The weight of the 1.00 lb sugar bag on the Moon would be approximately:
\[
0.741 \, \text{N}
\]

Would you like additional details or have any questions?

### Related Questions
1. How would the weight change if the gravitational acceleration were one-fourth that of Earth?
2. What would the sugar bag’s weight be on a planet with twice the Moon’s gravitational acceleration?
3. How do we calculate weight on a celestial body with unknown gravitational force?
4. What would the sugar bag's mass be in kilograms?
5. How do other planets’ gravity affect weights similarly?

#### Tip
Weight varies depending on the gravitational field strength, but mass stays constant regardless of location.

Find the weight of a 1.00 lb sugar bag in Newtons on the Moon, where gravity is one-sixth that of Earth. This solution covers weight conversion, gravitational acceleration, and provides a detailed step-by-step calculation. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation