The windshield of a speeding car hits a hovering insect. Consider the time interval from just before the car hits the insect to just after the impact. Which of the following are correct? (Select all that apply.)
Choose the system so that the change of momentum zero. Compare the change of momentum and the change in velocity of the car and the bug, respectively.
The magnitude of change of momentum of the car is bigger that that of the bug.
The system consists of the bug alone.
The system consists of the bug plus the car.
The magnitude of change of velocity of the car is bigger than that of the bug.
The magnitude of change of momentum of the bug is bigger than that of the car.
The magnitudes of the change of velocity are equal for car and bug.
The magnitudes of the change of momentum are equal for car and bug.
The system consists of the car alone.
The magnitude of change of velocity of the bug is bigger than that of the car.
I think it the 1,3 and those three last
From the given options, the correct statements are:
- The system consists of the bug alone.
- The magnitude of change of velocity of the car is bigger than that of the bug.
Reasoning:
- When considering the change of momentum, we need to focus on the system under consideration. In this case, the system is the bug alone. The car is not included in the system.
- Since the car hits the bug, it transfers momentum to the bug, causing a change in its momentum. The magnitude of change of momentum of the car is bigger than that of the bug. The car is much larger and has a higher velocity, so it imparts more momentum to the bug.
- The change of velocity refers to how much the velocity of an object changes. Since the car is much larger and has a higher velocity, its change of velocity will be larger than that of the bug.
To determine which of the provided options are correct, we need to consider the law of conservation of momentum. According to this law, the total momentum of a system remains constant unless acted upon by an external force.
Now let's analyze each statement:
1. The magnitude of change of momentum of the car is bigger than that of the bug.
To determine this, we need to consider that the momentum change is equal to the product of the mass and change in velocity. Since the car is significantly larger and heavier than the bug, it is likely to experience a larger change in momentum. So, this statement is correct.
2. The system consists of the bug alone.
This statement is incorrect because the question is asking for a comparison between the car and the bug. To make this comparison, the system needs to include both the bug and the car.
3. The system consists of the bug plus the car.
This statement is correct. When comparing the changes in momentum and velocity of the car and the bug, we need to consider the system as consisting of both the car and the bug. This way, we can compare their changes relative to each other.
4. The magnitude of change of velocity of the car is bigger than that of the bug.
Since the car is much larger and heavier than the bug, it is likely to experience a smaller change in velocity compared to the bug. So, this statement is incorrect.
5. The magnitude of change of momentum of the bug is bigger than that of the car.
Since the bug is much smaller and lighter than the car, it is likely to experience a much larger change in momentum compared to the car. So, this statement is correct.
6. The magnitudes of the change of velocity are equal for car and bug.
This statement is incorrect. Due to the difference in mass, the change in velocity experienced by the bug is likely to be much larger than that experienced by the car.
7. The magnitudes of the change of momentum are equal for car and bug.
This statement is incorrect. The change in momentum of the bug is likely to be greater than that of the car, as the bug is much lighter.
8. The system consists of the car alone.
This statement is incorrect. To compare the changes in momentum and velocity of the car and the bug, the system should include both of them.
9. The magnitude of change of velocity of the bug is bigger than that of the car.
Since the bug is much lighter than the car, it is likely to experience a larger change in velocity compared to the car. So, this statement is correct.
Correct statements: 1, 3, 5, and 9.