To calculate the gravitational force on the Moon for an astronaut, we can use the formula:
\[ F = m \times g \]
where:
- \( F \) is the gravitational force (in Newtons),
- \( m \) is the mass (in kilograms), and
- \( g \) is the acceleration due to gravity (in m/s²).
Given:
- Mass \( m = 59 \) kg
- Gravitational acceleration on the Moon \( g = 1.62 , \text{m/s}^2 \)
Substituting the values into the equation:
\[ F = 59 , \text{kg} \times 1.62 , \text{m/s}^2 \]
\[ F = 95.58 , \text{N} \]
Therefore, the gravitational force acting on the astronaut on the Moon is 95.58 N.
The correct answer is:
95.58 N