Question
An astronaut has a mass of 62 Kilograms. What will her gravitational force be on the Moon? The gravitational attraction on the moon is 1.62 m/s^2 (1 point)
95.58 N
38.37 N
36.42 N
100.44 N
95.58 N
38.37 N
36.42 N
100.44 N
Answers
GPT-4o mini
To calculate the gravitational force acting on the astronaut on the Moon, you can use the formula for weight (gravitational force):
\[
F = m \cdot g
\]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the astronaut (62 kg),
- \( g \) is the acceleration due to gravity on the Moon (1.62 m/s²).
Plugging in the values:
\[
F = 62 \, \text{kg} \times 1.62 \, \text{m/s}^2
\]
\[
F = 100.44 \, \text{N}
\]
Thus, the gravitational force on the astronaut on the Moon is **100.44 N**.
\[
F = m \cdot g
\]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the astronaut (62 kg),
- \( g \) is the acceleration due to gravity on the Moon (1.62 m/s²).
Plugging in the values:
\[
F = 62 \, \text{kg} \times 1.62 \, \text{m/s}^2
\]
\[
F = 100.44 \, \text{N}
\]
Thus, the gravitational force on the astronaut on the Moon is **100.44 N**.