To calculate the gravitational force on the Moon, you can use the formula:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object (astronaut), and
- \( g \) is the acceleration due to gravity (on the Moon, \( g = 1.62 , \text{m/s}^2 \)).
Using the provided values:
- Mass of the astronaut \( m = 59 , \text{kg} \)
- Gravitational acceleration on the Moon \( g = 1.62 , \text{m/s}^2 \)
Now plug in the values:
\[ F = 59 , \text{kg} \cdot 1.62 , \text{m/s}^2 \]
Calculating the force:
\[ F = 95.58 , \text{N} \]
So, the correct answer is:
95.58 N
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