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
1401 N
1078 N
4018 N
451 N
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
1401 N
1078 N
4018 N
451 N
Answers
GPT-4o mini
### Question 1: Why do you weigh less on the moon than on Earth?
The correct response is:
- **Moon has less mass and therefore less gravity.**
### Question 2: Match each ball with the gravitational force it experienced as it fell.
To calculate the gravitational force (weight) experienced by each ball, we can use the formula:
\[ \text{Weight (N)} = \text{mass (kg)} \times \text{acceleration due to gravity (approximately 9.81 m/s² on Earth)} \]
Let's convert the masses from grams to kilograms:
- Baseball: 143g = 0.143 kg
- Beach ball: 110g = 0.110 kg
- Soccer ball: 410g = 0.410 kg
- Golf ball: 46g = 0.046 kg
Now, calculating the weight for each:
1. **Baseball:**
\[ 0.143 \, \text{kg} \times 9.81 \, \text{m/s²} \approx 1.40 \, \text{N} \]
2. **Beach ball:**
\[ 0.110 \, \text{kg} \times 9.81 \, \text{m/s²} \approx 1.08 \, \text{N} \]
3. **Soccer ball:**
\[ 0.410 \, \text{kg} \times 9.81 \, \text{m/s²} \approx 4.02 \, \text{N} \]
4. **Golf ball:**
\[ 0.046 \, \text{kg} \times 9.81 \, \text{m/s²} \approx 0.45 \, \text{N} \]
Now we can match the balls with the closest given forces in newtons:
- **Baseball 143g** -> **1401 N**
- **Beach ball 110g** -> **1078 N**
- **Soccer ball 410g** -> **4018 N**
- **Golf ball 46g** -> **451 N**
These are the matched weights based on the gravitational calculation, assuming the context allows for some rounding and the exact numbers presented.
The correct response is:
- **Moon has less mass and therefore less gravity.**
### Question 2: Match each ball with the gravitational force it experienced as it fell.
To calculate the gravitational force (weight) experienced by each ball, we can use the formula:
\[ \text{Weight (N)} = \text{mass (kg)} \times \text{acceleration due to gravity (approximately 9.81 m/s² on Earth)} \]
Let's convert the masses from grams to kilograms:
- Baseball: 143g = 0.143 kg
- Beach ball: 110g = 0.110 kg
- Soccer ball: 410g = 0.410 kg
- Golf ball: 46g = 0.046 kg
Now, calculating the weight for each:
1. **Baseball:**
\[ 0.143 \, \text{kg} \times 9.81 \, \text{m/s²} \approx 1.40 \, \text{N} \]
2. **Beach ball:**
\[ 0.110 \, \text{kg} \times 9.81 \, \text{m/s²} \approx 1.08 \, \text{N} \]
3. **Soccer ball:**
\[ 0.410 \, \text{kg} \times 9.81 \, \text{m/s²} \approx 4.02 \, \text{N} \]
4. **Golf ball:**
\[ 0.046 \, \text{kg} \times 9.81 \, \text{m/s²} \approx 0.45 \, \text{N} \]
Now we can match the balls with the closest given forces in newtons:
- **Baseball 143g** -> **1401 N**
- **Beach ball 110g** -> **1078 N**
- **Soccer ball 410g** -> **4018 N**
- **Golf ball 46g** -> **451 N**
These are the matched weights based on the gravitational calculation, assuming the context allows for some rounding and the exact numbers presented.