To determine the astronaut's weight on the moon, we can use the formula for weight, which is given by:
[tex]\[ W = m \times g \][/tex]
Where:
- [tex]\( W \)[/tex] is the weight,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( g \)[/tex] is the gravitational acceleration.
Given:
- The mass of the astronaut with her gear [tex]\( m = 150 \)[/tex] kg,
- The gravitational acceleration on the moon [tex]\( g = 1.6 \)[/tex] m/s².
Substituting these values into the formula, we have:
[tex]\[ W = 150 \, \text{kg} \times 1.6 \, \text{m/s}^2 \][/tex]
[tex]\[ W = 240 \, \text{N} \][/tex]
Therefore, the astronaut's weight on the moon is [tex]\( 240 \, \text{N} \)[/tex].
So, the correct answer is:
A. 240 N