Air escaping out of can with hole

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SUMMARY

The discussion centers on the mechanics of pressure forces acting on a can when air is either escaping or being sucked in. In the first scenario, high-pressure gas exits the can, resulting in the can accelerating backward due to an unbalanced force on the wall opposite the hole. Conversely, in the second scenario, when air is sucked into the can, the can initially accelerates to the right, as the atmospheric pressure on the wall opposite the hole is not canceled by an opposing force. This highlights the importance of pressure gradient forces in determining the motion of the can.

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versine
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In the first figure, air goes forward and the can goes backward. My question is why does the air exert the pressure gradient force on the can.

Can I have a hint for why the can doesn't move when air is being sucked in in the second photo.
 
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versine said:
Can I have a hint for why the can doesn't move when air is being sucked in in the second photo.
Why do you think it does not move ?
 
I think I got my first question it's because there's more area on the left side of the can.
 
Baluncore said:
Why do you think it does not move ?
Because I saw the answer lol.
 
You do realize that the two scenarios are not the mechanical opposite of one another.
Case 1. High pressure gas in the can exits to lower pressure atmosphere.
Case 2. Atmospheric pressure gas enters into a lower pressure can.
 
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versine said:
View attachment 289672
In the first figure, air goes forward and the can goes backward. My question is why does the air exert the pressure gradient force on the can.
Are you asking why the first container will accelerate? Imagine the gas exerts the same pressure on all walls. All wall parts have an opposite wall part, and their opposite forces cancel. Except for the piece of wall opposite to the hole, which has no opposite wall part, and thus the force acting on it is not canceled. So the whole container will accelerate to the left.

versine said:
Can I have a hint for why the can doesn't move when air is being sucked in in the second photo.
The second container will initially accelerate to the right for the same reason. The exterior pressure force on the wall part opposite to the hole is not canceled, because there is no wall opposite to it.
 
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