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
95.58 N
95.58 N
60.62 N
60.62 N
578.2 N
578.2 N
36.42 N
.(1 point)
Responses
95.58 N
95.58 N
60.62 N
60.62 N
578.2 N
578.2 N
36.42 N
Answers
GPT-4o mini
To find the gravitational force on the Moon, we can use the formula for gravitational force, which is given by:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object (in kilograms),
- \( g \) is the acceleration due to gravity (in meters per second squared).
For the astronaut on the Moon:
- \( m = 59 \) kg,
- \( g = 1.62 \) m/s².
Now, substituting the values into the formula:
\[ F = 59 \, \text{kg} \cdot 1.62 \, \text{m/s}² \]
Calculating this:
\[ F = 95.58 \, \text{N} \]
Therefore, the gravitational force on the astronaut on the Moon is **95.58 N**.
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force,
- \( m \) is the mass of the object (in kilograms),
- \( g \) is the acceleration due to gravity (in meters per second squared).
For the astronaut on the Moon:
- \( m = 59 \) kg,
- \( g = 1.62 \) m/s².
Now, substituting the values into the formula:
\[ F = 59 \, \text{kg} \cdot 1.62 \, \text{m/s}² \]
Calculating this:
\[ F = 95.58 \, \text{N} \]
Therefore, the gravitational force on the astronaut on the Moon is **95.58 N**.