Why Does a Marble Fall Faster in a Pool Than in a Narrow Tube?

In summary, the reason why a marble dropped into a swimming pool will fall faster than if dropped into a water-filled tube with a slightly larger diameter is because of the speed at which water can be displaced. This can be better understood by considering the difference in effect between setting off a firecracker beside a ping-pong ball and putting them both into a narrow tube and lighting it.
  • #1
ultraviolent
17
0
Can anyone give me an explanation of why a marble dropped into a swimming pool will fall faster than if you drop a marble into a water filled tube with a diameter only slightly larger than the marble itself (presume it doesn't touch the walls of the tube). It's something to do with how quickly water can be displaced, but I can't come up with a good explanation.

Thanks,
 
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  • #2
You're pretty much there. Try thinking of a similar but different scenario. What would be the effect of setting off a firecracker beside a ping-pong ball as opposed to putting them both into a narrow tube and lighting it? Why?
 
  • #3
Thanks, I understand now :)
 

1. What is the purpose of studying the motion of a marble underwater?

The purpose of studying the motion of a marble underwater is to understand the behavior of objects in a fluid medium and how various factors, such as density and viscosity, affect their motion. This knowledge can also be applied to other real-world scenarios, such as the movement of ships and submarines in water.

2. What factors affect the motion of a marble underwater?

There are several factors that can affect the motion of a marble underwater, including the density and shape of the marble, the density and viscosity of the water, and the force applied to the marble. Other factors, such as the presence of other objects or obstacles in the water, can also have an impact on the marble's motion.

3. How does the density of the marble affect its motion underwater?

The density of the marble plays a significant role in its motion underwater. A more dense marble will sink faster and experience greater resistance from the water, while a less dense marble will float and experience less resistance. This can also impact the marble's speed and trajectory as it moves through the water.

4. What is the relationship between water viscosity and the motion of a marble?

Water viscosity, or its resistance to flow, can affect the motion of a marble by creating frictional forces that oppose its movement. A more viscous fluid will create more resistance, causing the marble to move slower and potentially change direction. This can also depend on the shape and density of the marble, as well as the speed at which it is moving.

5. How can the motion of a marble underwater be measured and analyzed?

The motion of a marble underwater can be measured and analyzed using various techniques, such as video analysis, motion sensors, and mathematical models. These methods can track the position, velocity, and acceleration of the marble over time and provide valuable data for further analysis and understanding of its motion. Additionally, experiments can be conducted to observe how different variables affect the marble's motion and to make predictions based on the gathered data.

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