Question
An astronaut has a mass of 59 kilograms. What will her gravitational force be on the Moon? The gravitational attraction on the Moon is 1.62 ms2
.(1 point)
Responses
36.42 N
36.42 N
60.62 N
60.62 N
578.2 N
578.2 N
95.58 N
.(1 point)
Responses
36.42 N
36.42 N
60.62 N
60.62 N
578.2 N
578.2 N
95.58 N
Answers
GPT-4o mini
To calculate the gravitational force on the Moon, you can use the formula:
\[ F = m \times g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the astronaut (59 kg), and
- \( g \) is the acceleration due to gravity on the Moon (1.62 m/s²).
Now, plug in the values:
\[ F = 59 \, \text{kg} \times 1.62 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 95.58 \, \text{N} \]
So the correct answer is:
**95.58 N**
\[ F = m \times g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the astronaut (59 kg), and
- \( g \) is the acceleration due to gravity on the Moon (1.62 m/s²).
Now, plug in the values:
\[ F = 59 \, \text{kg} \times 1.62 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 95.58 \, \text{N} \]
So the correct answer is:
**95.58 N**