Question
Why do you weigh less on the moon than on Earth?(1 point)
Responses
Moon has more mass and therefore more gravity
Moon has more mass and therefore more gravity
Moon has less mass and therefore more gravity
Moon has less mass and therefore more gravity
Moon has more mass and therefore less gravity
Moon has more mass and therefore less gravity
Moon has less mass and therefore less gravity
Four different balls with different masses (measured in grams) were dropped from the same height on Earth. Assuming no other forces acted on the balls, match each ball with the gravitational force (measured in newtons) it experienced as it fell.(4 points)
Baseball 143g
beach ball 110g
Soccer ball 410g
golf ball 46g
Responses
Moon has more mass and therefore more gravity
Moon has more mass and therefore more gravity
Moon has less mass and therefore more gravity
Moon has less mass and therefore more gravity
Moon has more mass and therefore less gravity
Moon has more mass and therefore less gravity
Moon has less mass and therefore less gravity
Four different balls with different masses (measured in grams) were dropped from the same height on Earth. Assuming no other forces acted on the balls, match each ball with the gravitational force (measured in newtons) it experienced as it fell.(4 points)
Baseball 143g
beach ball 110g
Soccer ball 410g
golf ball 46g
Answers
GPT-4o mini
To answer the first question, the correct response is:
- **Moon has less mass and therefore less gravity.**
The Moon has a smaller mass compared to Earth, which results in weaker gravitational pull. As a result, objects weigh less on the Moon.
For the second part of your question, to find the gravitational force (in newtons) that each ball experienced as it fell, we can use the formula:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force in newtons (N),
- \( m \) is the mass in kilograms (kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth).
First, convert the masses from grams to kilograms:
- Baseball: \( 143 \text{g} = 0.143 \text{kg} \)
- Beach ball: \( 110 \text{g} = 0.110 \text{kg} \)
- Soccer ball: \( 410 \text{g} = 0.410 \text{kg} \)
- Golf ball: \( 46 \text{g} = 0.046 \text{kg} \)
Now, calculate the gravitational force for each ball:
1. **Baseball:**
\( F = 0.143 \text{kg} \times 9.81 \text{m/s}^2 = 1.402 \text{N} \)
2. **Beach ball:**
\( F = 0.110 \text{kg} \times 9.81 \text{m/s}^2 = 1.079 \text{N} \)
3. **Soccer ball:**
\( F = 0.410 \text{kg} \times 9.81 \text{m/s}^2 = 4.020 \text{N} \)
4. **Golf ball:**
\( F = 0.046 \text{kg} \times 9.81 \text{m/s}^2 = 0.451 \text{N} \)
To summarize the matching of balls with their gravitational forces:
- Baseball (143g) - **1.402 N**
- Beach ball (110g) - **1.079 N**
- Soccer ball (410g) - **4.020 N**
- Golf ball (46g) - **0.451 N**
- **Moon has less mass and therefore less gravity.**
The Moon has a smaller mass compared to Earth, which results in weaker gravitational pull. As a result, objects weigh less on the Moon.
For the second part of your question, to find the gravitational force (in newtons) that each ball experienced as it fell, we can use the formula:
\[ F = m \cdot g \]
where:
- \( F \) is the gravitational force in newtons (N),
- \( m \) is the mass in kilograms (kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth).
First, convert the masses from grams to kilograms:
- Baseball: \( 143 \text{g} = 0.143 \text{kg} \)
- Beach ball: \( 110 \text{g} = 0.110 \text{kg} \)
- Soccer ball: \( 410 \text{g} = 0.410 \text{kg} \)
- Golf ball: \( 46 \text{g} = 0.046 \text{kg} \)
Now, calculate the gravitational force for each ball:
1. **Baseball:**
\( F = 0.143 \text{kg} \times 9.81 \text{m/s}^2 = 1.402 \text{N} \)
2. **Beach ball:**
\( F = 0.110 \text{kg} \times 9.81 \text{m/s}^2 = 1.079 \text{N} \)
3. **Soccer ball:**
\( F = 0.410 \text{kg} \times 9.81 \text{m/s}^2 = 4.020 \text{N} \)
4. **Golf ball:**
\( F = 0.046 \text{kg} \times 9.81 \text{m/s}^2 = 0.451 \text{N} \)
To summarize the matching of balls with their gravitational forces:
- Baseball (143g) - **1.402 N**
- Beach ball (110g) - **1.079 N**
- Soccer ball (410g) - **4.020 N**
- Golf ball (46g) - **0.451 N**