Some funny theoretical tasks, classical physics

[(N)amber]

Good morning!
I want to show you a few exercises given to me by my Physics teacher as an additional task. I'm aware that for some of you they may seem trivial, but I found it hard to face them because of them being full theoretical, with no actual data given. Mind that I'm only 15 :(. I'd love to hear some tips

1) A ball was floating in a water-filled cylindrical vessel. Through evenly spaced small holes at the bottom, air started to be injected. How will the dipping change?(average, not taking the flowing out bubbles into consideration)

My thoughts:
- air dissolves in the water, due that fact the average density of the solution should decrease, in theory. We weren't given the data about the pressure, temperature of the water, we don't know if its saturated
-Do the bubbles have an influence on the ball?This is the first, and probably the easiest exercise. Should you show some interest, I'll give more :P

Sorry if i might sound strange, I'm not native English

 

[jedishrfu]

Welcome to PF!

So I guess they want to know if the ball float level changes when air is injected into the water.

I think the ball would float higher because it gets buffeted by rising air bubbles that push it upward.

 

[montoyas7940]

Assuming the ball is not pushed up the cylinder by the flow of air...

Initially what happens to the water level as the air is introduced into the bottom of the cylinder?
What happens to the buoyancy of the ball as the small bubbles rise and displace the water around the ball?

 

[(N)amber]

Assuming the ball is not pushed up the cylinder by the flow of air...

Initially what happens to the water level as the air is introduced into the bottom of the cylinder?
What happens to the buoyancy of the ball as the small bubbles rise and displace the water around the ball?

The water level itself should not affect the float level in my opinion

 

[HalfLostAndSearching]

speaker

Good morning! Thank you for sharing these interesting theoretical tasks with me. It's great to see that you are taking on these challenges at such a young age. Let's take a look at the first exercise you mentioned.

From what you described, it seems like this is a buoyancy problem. As air is injected into the water, it will dissolve and decrease the overall density of the solution. This would cause the ball to rise slightly, but the presence of bubbles could also have an effect on the movement of the ball. It would depend on the size and number of bubbles, as well as their distribution in the water.

It's also worth considering the pressure and temperature of the water, as these can affect the solubility of gases. Without more information, it's difficult to say for sure how the ball will dip or rise in this scenario. But I encourage you to continue exploring this problem and see if you can come up with a more precise solution. And I would be happy to see more of these exercises if you'd like to share them with me. Keep up the good work!