QuestionJune 3, 2025

An astronaut weighs 638 newtons at the surface of Earth. What is the weight of the astronaut at the surface of the Moon, where the acceleration due to gravity is 1.62 meters per second squared?

An astronaut weighs 638 newtons at the surface of Earth. What is the weight of the astronaut at the surface of the Moon, where the acceleration due to gravity is 1.62 meters per second squared?
An astronaut weighs 638 newtons at the surface of Earth. What is the weight of the astronaut at the surface of
the Moon, where the acceleration due to gravity is 1.62 meters per second squared?

Solution
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Answer

The weight of the astronaut on the Moon is approximately 105.4 newtons. Explanation 1. Identify the relationship between weight and gravity Weight is calculated using **W = mg**, where m is mass and g is gravitational acceleration. 2. Calculate the astronaut's mass on Earth Given weight on Earth W_{Earth} = 638 \, \text{N} and g_{Earth} = 9.81 \, \text{m/s}^2, find mass m: m = \frac{W_{Earth}}{g_{Earth}} = \frac{638}{9.81} 3. Calculate the weight on the Moon Use the mass from Step 2 and g_{Moon} = 1.62 \, \text{m/s}^2: W_{Moon} = m \cdot g_{Moon}

Explanation

1. Identify the relationship between weight and gravity<br /> Weight is calculated using **$W = mg$**, where $m$ is mass and $g$ is gravitational acceleration.<br /><br />2. Calculate the astronaut's mass on Earth<br /> Given weight on Earth $W_{Earth} = 638 \, \text{N}$ and $g_{Earth} = 9.81 \, \text{m/s}^2$, find mass $m$: <br /> $m = \frac{W_{Earth}}{g_{Earth}} = \frac{638}{9.81}$<br /><br />3. Calculate the weight on the Moon<br /> Use the mass from Step 2 and $g_{Moon} = 1.62 \, \text{m/s}^2$: <br /> $W_{Moon} = m \cdot g_{Moon}$
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