Question
Question 16
box on right weighs 70kg and 686n going down and left box weighs 50kg and 490n going down
Two crates are dropped from the same height in a vacuum. The mass and force of the crates are shown in the diagram. Which of the following statements is supported by the data?
a
Both of the crates are accelerating at the same rate.
b
Both of the crates are falling at a constant speed.
c
The momentum of both crates will be the same right before they hit the ground.
d
The normal force will be the same on both crates when they hit the ground.
box on right weighs 70kg and 686n going down and left box weighs 50kg and 490n going down
Two crates are dropped from the same height in a vacuum. The mass and force of the crates are shown in the diagram. Which of the following statements is supported by the data?
a
Both of the crates are accelerating at the same rate.
b
Both of the crates are falling at a constant speed.
c
The momentum of both crates will be the same right before they hit the ground.
d
The normal force will be the same on both crates when they hit the ground.
Answers
GPT-4o mini
To analyze the situation presented in the question, let's look at the relevant physics principles.
1. **Acceleration due to Gravity**: In a vacuum, all objects fall at the same rate, regardless of their mass. This means both of the crates will experience the same acceleration (approximately \(9.81 \, \text{m/s}^2\)) due to gravity.
2. **Constant Speed**: If they are dropped in a vacuum, they will not fall at a constant speed; instead, they will be accelerating until they hit the ground.
3. **Momentum**: The momentum of an object is calculated as the product of its mass and its velocity. While both crates will reach the same velocity just before hitting the ground (assuming they were dropped from the same height), their masses are different. Therefore, their momentum will not be the same.
4. **Normal Force**: The normal force acts on an object when it is in contact with a surface that supports it. Since we are talking about crates just before they hit the ground, the normal force only comes into play at the moment of impact, and it will depend on the weight of each crate. The crates will experience different normal forces based on their weights.
Based on this analysis, the statement that is supported by the data is:
**a**: Both of the crates are accelerating at the same rate.
This is the only statement that accurately reflects the physics of objects falling in a vacuum.
1. **Acceleration due to Gravity**: In a vacuum, all objects fall at the same rate, regardless of their mass. This means both of the crates will experience the same acceleration (approximately \(9.81 \, \text{m/s}^2\)) due to gravity.
2. **Constant Speed**: If they are dropped in a vacuum, they will not fall at a constant speed; instead, they will be accelerating until they hit the ground.
3. **Momentum**: The momentum of an object is calculated as the product of its mass and its velocity. While both crates will reach the same velocity just before hitting the ground (assuming they were dropped from the same height), their masses are different. Therefore, their momentum will not be the same.
4. **Normal Force**: The normal force acts on an object when it is in contact with a surface that supports it. Since we are talking about crates just before they hit the ground, the normal force only comes into play at the moment of impact, and it will depend on the weight of each crate. The crates will experience different normal forces based on their weights.
Based on this analysis, the statement that is supported by the data is:
**a**: Both of the crates are accelerating at the same rate.
This is the only statement that accurately reflects the physics of objects falling in a vacuum.