To compare the weight of an astronaut on the Moon, Mars, and Earth, we first need to understand that weight is the force exerted by gravity on an object, and it can be calculated with the formula:
\[ \text{Weight} = \text{mass} \times g \]
where \( g \) is the acceleration due to gravity.
- On Earth, the acceleration due to gravity is approximately \( 9.8 , \text{m/s}^2 \).
- On the Moon, \( g \) is \( 1.6 , \text{m/s}^2 \).
- On Mars, \( g \) is \( 3.7 , \text{m/s}^2 \).
If we consider an astronaut with mass \( m \), their weight would be calculated as follows:
- Weight on Earth: \( W_\text{Earth} = m \times 9.8 \)
- Weight on the Moon: \( W_\text{Moon} = m \times 1.6 \)
- Weight on Mars: \( W_\text{Mars} = m \times 3.7 \)
Since \( 9.8 , \text{m/s}^2 \) is greater than \( 3.7 , \text{m/s}^2 \) (Mars) and \( 1.6 , \text{m/s}^2 \) (Moon), we can conclude that:
- The astronaut weighs the most on Earth.
- The astronaut weighs more on Mars than on the Moon but less than on Earth.
Therefore, the correct response is: The astronaut weighs the most on Earth and the least on the Moon.
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