A ping-pong ball attached to a string in a jar of water

In summary, when a ping-pong ball attached to a string is placed in a jar of water and the jar is accelerated to the right, the ball will move towards the direction of acceleration due to the pressure gradient created in the liquid. This can be explained by the concept of gravitational acceleration and how it affects pressure gradients in both the atmosphere and liquid.
  • #1
duoshock
3
0
Consider a ping-pong ball attached to a string.

The string is secured at the bottom of a big jar, and water is used to fill the jar

The ping pong ball then floats inside the water, pulling the string upwards

What happens to the ping-pong ball when the jar of water is accelerated to the right?

any explanations using the concepts in physics? appreciate someone who understands the dynamics well to give a reasonable analysis. Thanks
 
Physics news on Phys.org
  • #2
Just my guess...

While the jar was accelerating to the right, the ping pong ball would percieve "down" as being towards the bottom left of the jar. So it would move to the right in response.
 
  • #3
A pressure gradient is created in the atmosphere due to the weight of the air. That is the atmospheric pressure is higher at the bottom than at higher elevations due to the weight of the atmosphere above it. This gradient exists solely due to gravitational acceleration. Any object less dense than the local air will move in the direction of decreasing pressure. A similar situation arises due to the acceleration of the container. A pressure gradient is created in the liquid due to its acceleration. A little bit of thought should convince you that a higher pressure will exist in the liquid on the opposite side than that in which it is accelerated in (similar to people being spun inside a circular structure), that is the liquid at the front is pushing "down" on the liquid at the rear of the container due to the acceleration. The ball will then move towards the region of lower pressure in the liquid, that is in the direction in which the container is being accelerated in.
 
Last edited:

What causes the ping-pong ball to stay suspended in the water?

The ping-pong ball stays suspended in the water due to a combination of buoyancy and surface tension. The density of the ball is slightly less than that of the water, causing it to float. Additionally, the surface tension of the water allows the ball to rest on top without sinking.

Why does the ball move when the jar is shaken?

When the jar is shaken, the water inside creates waves and disturbances which disrupt the surface tension of the water. This causes the ball to move and eventually sink to the bottom of the jar.

What happens if the string is cut?

If the string is cut, the ping-pong ball will sink to the bottom of the jar. This is because the string was providing the tension necessary for the ball to remain suspended on the surface of the water.

Does the temperature of the water affect the behavior of the ping-pong ball?

Yes, the temperature of the water can affect the behavior of the ping-pong ball. Warmer water has lower surface tension, so the ball may sink more easily or move around more when the jar is shaken. Colder water has higher surface tension, making it easier for the ball to remain suspended.

How does the size and weight of the ball impact its behavior in the jar of water?

The size and weight of the ball can impact its behavior in the jar of water. A larger and heavier ball will have a greater mass and therefore require more force to move or sink. This means it may take more shaking to make the ball move or sink compared to a smaller and lighter ball.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
14
Views
925
  • Introductory Physics Homework Help
Replies
1
Views
4K
  • Introductory Physics Homework Help
Replies
5
Views
10K
  • Introductory Physics Homework Help
Replies
12
Views
6K
  • New Member Introductions
Replies
1
Views
454
  • Mechanical Engineering
Replies
6
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
5K
Replies
16
Views
4K
  • Introductory Physics Homework Help
Replies
3
Views
3K
Back
Top