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)
Responses
36.42 N
36.42 N
38.37 N
38.37 N
100.44 N
100.44 N
95.58 N
(1 point)
Responses
36.42 N
36.42 N
38.37 N
38.37 N
100.44 N
100.44 N
95.58 N
Answers
GPT-4o mini
The gravitational force acting on an object can be calculated using the formula:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force (in Newtons),
- \( m \) is the mass of the object (in kilograms),
- \( g \) is the acceleration due to gravity (in m/s²).
Given:
- \( m = 62 \) kg (mass of the astronaut),
- \( g = 1.62 \) m/s² (acceleration due to gravity on the Moon).
Now, plugging in the values:
\[ F = 62 \, \text{kg} \cdot 1.62 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 100.44 \, \text{N} \]
So, the gravitational force on the Moon will be **100.44 N**.
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force (in Newtons),
- \( m \) is the mass of the object (in kilograms),
- \( g \) is the acceleration due to gravity (in m/s²).
Given:
- \( m = 62 \) kg (mass of the astronaut),
- \( g = 1.62 \) m/s² (acceleration due to gravity on the Moon).
Now, plugging in the values:
\[ F = 62 \, \text{kg} \cdot 1.62 \, \text{m/s}^2 \]
Calculating this gives:
\[ F = 100.44 \, \text{N} \]
So, the gravitational force on the Moon will be **100.44 N**.