Water Bucket Free Fall: Parabolic or Linear Path?

Click For Summary

Homework Help Overview

The discussion revolves around a scenario where a bucket filled with water, having a hole on its side, is dropped freely. Participants are exploring whether the water will flow out of the bucket during free fall and the nature of its trajectory, questioning if it will be parabolic or linear under the assumption of no air resistance and hydrodynamic effects.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Some participants reference Bernoulli's equation and the effects of gravity on the water's behavior in free fall. Others discuss the balance of forces acting on the water and question the conditions under which water might leak from the bucket. There are also considerations regarding the shape and behavior of the water as it interacts with the bucket and the hole.

Discussion Status

The discussion is ongoing, with various interpretations being explored regarding the behavior of water in free fall. Some participants offer insights into the physics involved, while others express uncertainty about the outcomes and the conditions affecting the water's trajectory.

Contextual Notes

Participants are considering factors such as the size of the hole, the shape of the bucket, and the cohesive forces within the water. There is also mention of the need for clarity on the definitions of terms like 'extrusion' and how these might affect the water's behavior.

Rakshit Joshi
Messages
3
Reaction score
0
There is a situation that a bucket which is full of water and has a hole at the side is let to fall freely. Will the water flow out of the bucket? And if it does, will its path be parabolic or linear? Assume that there is no air and hydrodynamics is working. Full detailed answer would be appreciated.
 
Physics news on Phys.org
I think water will not come out as evident by the Bernoulli's equation
p1 + dgh1 + 1\2dv1^2 = p2 + dgh2 +1\2dv2^2
here p1=p2= p atmospheric
dgh term will be zero as the system is in free fall
v1= 0
 
When the cup is at rest, the force of gravity pulls downward upon the water. At the location of the hole, there is nothing to balance gravity's force and prevent water from pouring out of the cup. However, when the cup is in free fall, the water will not leak. It is merely falling to the ground at the same rate as its surroundings (the cup).
 
Rakshit Joshi said:
There is a situation that a bucket which is full of water and has a hole at the side is let to fall freely. Will the water flow out of the bucket? And if it does, will its path be parabolic or linear? Assume that there is no air and hydrodynamics is working. Full detailed answer would be appreciated.

Welcome to the PF.

In the future, please post schoolwork-type questions in the Homework Help forums, and be sure to share your thoughts on how you think the problem can be solved. I have moved your thread to the HH forums.
 
Gravitational force disappears in a free-falling frame of reference, and in the absence of gravitational force, only one force remain: the cohesive force of attraction between water molecules. Hence, the mass of water will tend to acquire a spherical form. In so doing, constrained by the cylindrical or conical walls of the bucket, and its flat bottom, some water might be 'extruded' through the hole... For a stationary, non free-falling observer, the trajectory of the 'extruded jet' would be parabolic. For a free-falling observer, the extruded jet would move in straight line...
 
NTW said:
Gravitational force disappears in a free-falling frame of reference, and in the absence of gravitational force, only one force remain: the cohesive force of attraction between water molecules. Hence, the mass of water will tend to acquire a spherical form. In so doing, constrained by the cylindrical or conical walls of the bucket, and its flat bottom, some water might be 'extruded' through the hole... For a stationary, non free-falling observer, the trajectory of the 'extruded jet' would be parabolic. For a free-falling observer, the extruded jet would move in straight line...
Why would it continue to be extruded, rather than just produce a hemispherical bulge?
Anyway, I don't see why it should be extruded at all. It will form the minimum surface area, which will just be a circular patch, slightly deformed by the curve of the bucket.
 
I'm not sure of that 'extrusion', either... That's why I've written 'might be 'extruded' through the hole'... It would probably depend on the size of the hole, the form of the bucket, the cohesion force of the water and the attraction -or repulsion- between the water and the bucket's material. Anyway, if any water is expelled through the hole, it will probably take the form of 'blobs', gradually evolving into perfect spheres... A jet of spheres...
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
1
Views
2K
  • · Replies 74 ·
3
Replies
74
Views
5K
Replies
13
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
3K