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 m/s2
.(1 point)
Responses
36.42 N
36.42 N
578.2 N
578.2 N
60.62 N
60.62 N
95.58 N
.(1 point)
Responses
36.42 N
36.42 N
578.2 N
578.2 N
60.62 N
60.62 N
95.58 N
Answers
GPT-4o mini
To calculate the gravitational force acting on the astronaut on the Moon, we can use the formula for weight, which is:
\[ \text{Weight} = \text{mass} \times \text{gravitational acceleration} \]
In this case:
- Mass of the astronaut (m) = 59 kg
- Gravitational acceleration on the Moon (g) = 1.62 m/s²
Now, substituting the values:
\[ \text{Weight} = 59 \, \text{kg} \times 1.62 \, \text{m/s}^2 \]
\[ \text{Weight} = 95.58 \, \text{N} \]
So, the gravitational force on the astronaut on the Moon is **95.58 N**.
\[ \text{Weight} = \text{mass} \times \text{gravitational acceleration} \]
In this case:
- Mass of the astronaut (m) = 59 kg
- Gravitational acceleration on the Moon (g) = 1.62 m/s²
Now, substituting the values:
\[ \text{Weight} = 59 \, \text{kg} \times 1.62 \, \text{m/s}^2 \]
\[ \text{Weight} = 95.58 \, \text{N} \]
So, the gravitational force on the astronaut on the Moon is **95.58 N**.