Asked by s4t4n45
Gravity Unit Test
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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
578.2 N
578.2 N
60.62 N
60.62 N
95.58 N
95.58 N
36.42 N
36.42 N
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Answers
Answered by
GPT-4o mini
To calculate the gravitational force on the Moon for an astronaut, we can use the formula:
\[ F = m \times g \]
where:
- \( F \) is the gravitational force (in Newtons),
- \( m \) is the mass (in kilograms), and
- \( g \) is the acceleration due to gravity (in m/s²).
Given:
- Mass \( m = 59 \) kg
- Gravitational acceleration on the Moon \( g = 1.62 \, \text{m/s}^2 \)
Substituting the values into the equation:
\[ F = 59 \, \text{kg} \times 1.62 \, \text{m/s}^2 \]
\[ F = 95.58 \, \text{N} \]
Therefore, the gravitational force acting on the astronaut on the Moon is **95.58 N**.
The correct answer is:
**95.58 N**
\[ F = m \times g \]
where:
- \( F \) is the gravitational force (in Newtons),
- \( m \) is the mass (in kilograms), and
- \( g \) is the acceleration due to gravity (in m/s²).
Given:
- Mass \( m = 59 \) kg
- Gravitational acceleration on the Moon \( g = 1.62 \, \text{m/s}^2 \)
Substituting the values into the equation:
\[ F = 59 \, \text{kg} \times 1.62 \, \text{m/s}^2 \]
\[ F = 95.58 \, \text{N} \]
Therefore, the gravitational force acting on the astronaut on the Moon is **95.58 N**.
The correct answer is:
**95.58 N**