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 ms2
(1 point)
Responses
38.37 N
38.37 N
36.42 N
36.42 N
100.44 N
100.44 N
95.58 N
(1 point)
Responses
38.37 N
38.37 N
36.42 N
36.42 N
100.44 N
100.44 N
95.58 N
Answers
GPT-4o mini
To calculate the gravitational force acting on the astronaut on the Moon, you can use the formula:
\[ F = m \times g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass (62 kg in this case), and
- \( g \) is the acceleration due to gravity on the Moon (1.62 m/s²).
Now, substituting in the values:
\[ F = 62 \, \text{kg} \times 1.62 \, \text{m/s}^2 \]
\[ F = 100.44 \, \text{N} \]
Therefore, the gravitational force on the astronaut on the Moon is **100.44 N**.
\[ F = m \times g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass (62 kg in this case), and
- \( g \) is the acceleration due to gravity on the Moon (1.62 m/s²).
Now, substituting in the values:
\[ F = 62 \, \text{kg} \times 1.62 \, \text{m/s}^2 \]
\[ F = 100.44 \, \text{N} \]
Therefore, the gravitational force on the astronaut on the Moon is **100.44 N**.