Let's determine which of the four objects will most likely go into orbit around Earth based on their speeds. The escape velocity required to reach orbit around Earth is 7,600 meters per second (m/s).
Here is the information on the speeds of the objects:
- Object W: 6,799 m/s
- Object X: 3,562 m/s
- Object Y: 8,105 m/s
- Object Z: 9,324 m/s
We will compare each object's speed to the escape velocity:
1. Object W:
- Speed: 6,799 m/s
- Comparison to escape velocity (7,600 m/s): 6,799 < 7,600
- Conclusion: Object W will not go into orbit because its speed is less than the escape velocity.
2. Object X:
- Speed: 3,562 m/s
- Comparison to escape velocity (7,600 m/s): 3,562 < 7,600
- Conclusion: Object X will not go into orbit because its speed is less than the escape velocity.
3. Object Y:
- Speed: 8,105 m/s
- Comparison to escape velocity (7,600 m/s): 8,105 > 7,600
- Conclusion: Object Y will go into orbit because its speed is greater than the escape velocity.
4. Object Z:
- Speed: 9,324 m/s
- Comparison to escape velocity (7,600 m/s): 9,324 > 7,600
- Conclusion: Object Z will go into orbit because its speed is greater than the escape velocity.
Based on the comparison, the objects that will most likely go into orbit around Earth are:
- Object Y (8,105 m/s) - Speed higher than escape velocity
- Object Z (9,324 m/s) - Speed higher than escape velocity
Therefore, the correct answer is:
[tex]\[ \text{Y and Z} \][/tex]
To summarize:
- [tex]$W$[/tex] and [tex]$Y$[/tex] are incorrect because object W does not have sufficient speed.
- [tex]$X$[/tex] and [tex]$Y$[/tex] are incorrect because object X does not have sufficient speed.
- [tex]$Y$[/tex] and [tex]$Z$[/tex] are correct because both objects have speeds greater than the escape velocity.
- [tex]$W$[/tex] and [tex]$Z$[/tex] are incorrect because object W does not have sufficient speed.
So, the answer is:
[tex]\[ \boxed{Y \text{ and } Z} \][/tex]
