Explained: Beaker Ball Balance Problem
Summary
TLDRIn this intriguing experiment, the narrator explores the principles of buoyancy and weight distribution using two balls in water-filled beakers. The heavier ball, when hung, causes the balance to tip due to the buoyant force it displaces, which is equal to the weight of the water it displaces according to Archimedes' Principle. The ping pong ball, however, experiences a counteracting force, resulting in minimal increase in the beaker's weight. An additional experiment is proposed, where a free ping pong ball is submerged, prompting viewers to predict the balance's behavior and engage in a discussion on the principles at play.
Takeaways
- đ The balance experiment involves releasing a balance and observing its behavior.
- đïžââïž The balance tips towards the right due to the heavier ball hanging on the right side.
- đ§ Both balls displace the same amount of water, which is a key factor in the experiment.
- đ Archimedes Principle is invoked to explain the buoyant force acting on the balls.
- đ Newtonâs Third Law is used to describe the equal and opposite forces on the water in both beakers.
- đ The beaker with the hanging ball gets heavier due to the buoyant force supporting part of its weight.
- đ For the ping pong ball, the downward force on the water is mostly counteracted by the tension in the string.
- đ The weight of the beaker with the ping pong ball only increases by the weight of the ball itself, not the displaced water.
- đ The beaker with the hanging ball ends up being heavier due to the increased weight from the displaced water.
- đ§Ș An additional experiment is proposed involving a free ping pong ball submerged just under the water surface.
- â The audience is asked to predict whether the balance would tilt towards the hanging ball, the submerged ping pong ball, or remain balanced.
Q & A
What is the main event described in the script?
-The main event is the demonstration of a balance experiment where two balls, one heavier and one lighter (ping pong ball), are placed in water-filled beakers to observe the effect on the balance due to buoyant forces.
What is Archimedes Principle mentioned in the script?
-Archimedes Principle states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces.
Why does the balance tip towards the heavier ball?
-The balance tips towards the heavier ball because the buoyant force acting on the heavier ball supports some of its weight, reducing the tension in the string and increasing the effective weight of the beaker it's in.
How does the buoyant force affect the weight of the beaker with the hanging ball?
-The buoyant force on the hanging ball supports part of its weight, which is then transferred to the beaker, effectively increasing the beaker's weight by the weight of the water displaced by the ball.
What happens to the weight of the beaker with the ping pong ball?
-The weight of the beaker with the ping pong ball only increases by the weight of the ball itself, as the buoyant force is almost entirely counteracted by the tension in the string.
What is Newtonâs Third Law and how does it relate to the experiment?
-Newtonâs Third Law states that for every action, there is an equal and opposite reaction. In the experiment, the buoyant force exerted by the water on the balls is balanced by an equal and opposite force exerted by the balls on the water.
What is the proposed additional experiment involving the ping pong ball?
-The additional experiment involves submerging a free ping pong ball just barely under the water's surface and observing the effect on the balance when allowed to rotate.
What are the three possible outcomes of the additional experiment with the submerged ping pong ball?
-The three possible outcomes are: A) the balance tilts towards the hanging acrylic ball, B) the balance tilts towards the barely submerged ping pong ball, or C) the balance remains perfectly balanced.
Why does the script ask for predictions and explanations from the audience?
-The script encourages audience participation and engagement by asking them to make predictions and provide explanations, which helps to stimulate discussion and enhance understanding of the principles involved.
What is the purpose of the balance experiment in the script?
-The purpose of the balance experiment is to demonstrate and explain the principles of buoyancy and weight distribution, as well as to challenge the audience's understanding and predictions of the outcomes.
How does the tension in the string affect the weight of the beaker with the ping pong ball?
-The tension in the string counteracts the downward force of the water displaced by the ping pong ball, resulting in the beaker's weight only increasing by the weight of the ping pong ball itself, not the displaced water.
Outlines
đ Explanation of Balance Experiment
The presenter discusses the outcome of a balance experiment involving two balls, one heavier and one lighter (a ping pong ball). They explain that both balls displace the same amount of water, experiencing equal upward buoyant forces. Due to Newton's Third Law, equal and opposite forces are exerted on the water in both beakers. However, the heavier ball causes its beaker to gain more weight as the buoyant force supports some of the ball's weight, unlike the ping pong ball where the tension in the string counteracts the downward force. This results in the heavier ball's beaker being heavier overall.
đ§Ș Proposal for a New Experiment
The presenter proposes a new experiment: submerging a free ping pong ball just below the water surface with a finger. They prompt viewers to predict the outcome when the scale is allowed to rotate, offering three options: A) tilting towards the hanging acrylic ball, B) tilting towards the barely submerged ping pong ball, or C) remaining perfectly balanced. Viewers are encouraged to leave their predictions and explanations in the comments for a follow-up discussion.
Mindmap
Keywords
đĄPrediction
đĄBalance
đĄBuoyant Force
đĄArchimedes Principle
đĄNewtonâs Third Law
đĄTension
đĄWeight
đĄPing Pong Ball
đĄAcrylic Ball
đĄExperiment
đĄSubmerged
Highlights
Prediction setup: Releasing balance with two balls, a heavier hanging ball, and a lighter ping pong ball.
Observation: The balance tips towards the right, towards the heavier hanging ball.
Explanation: Both balls displace the same amount of water, experiencing the same upward buoyant force.
Archimedes' Principle: Upward buoyant force is equal to the weight of the water displaced.
Newtonâs Third Law: Equal and opposite forces down on the water in both beakers.
Expectation: Both beakers should get heavier by the same amount due to the buoyant force.
Hanging ball effect: The beaker with the hanging ball gets heavier because the buoyant force supports some of the ball's weight.
Tension reduction: The tension in the string of the hanging ball is reduced, increasing the beaker's weight.
Ping pong ball effect: The downward force on the water is counteracted by the upward force of the string's tension.
Weight change: The beaker with the ping pong ball only increases in weight by the ball's weight itself.
Comparison: The beaker with the hanging ball becomes heavier than the one with the ping pong ball.
Additional experiment: Submerging a free ping pong ball just under the water surface with a finger.
Prediction options: Tilting down towards the hanging ball, towards the ping pong ball, or remaining balanced.
Call to action: Viewers are asked to make predictions and explain their reasoning in the comments.
Future update: Results and explanations will be shared in the next update.
Transcripts
You have made your prediction and now it is time to see what happens when I release the
balance.
Ready?
In three, two, one.
The balance tips towards the right, towards the hanging, heavier ball.
But why does this happen?
Well, the best way I can think of to explain this is that both balls displace the same
amount of water.
So they both experience the same upward buoyant force which is equal to the weight of the
water they displace.
That is just Archimedes Principle.
But by Newtonâs Third Law, that means there must be equal and opposite forces down on
the water in both beakers.
So you would think that both beakers would get heavier by this same amount.
Now for the hanging ball the beaker does get heavier by this amount, because the buoyant
force is now supporting some of the weight that used to be supported by this tension
in the string.
But it is now reduced and so beaker actually has more weight.
But for the ping pong ball, the downward force on the water is almost entirely counteracted
by the upward force of the tension in that string on the bottom of the beaker.
And, therefore, the weight of this beaker only increases by the weight of the ping pong
ball itself, whereas for the hanging ball the weight increases by the weight of water
it displaces.
So obviously this beaker is going to end up being heavier.
Now I want to propose an additional experiment.
What if instead of tethering the ping pong ball to the base of this beaker, I just got
a free ping pong ball and submerged it with my finger, just barely under the surface of
the water?
In that case, what do you think would happen when the scale was allowed to rotate?
Would it tilt down A) towards the hanging acrylic ball or B)
down towards the ping pong ball, which is now just barely submerged under the water
or C) would the balance remain perfectly balanced?So I want you to make your selection, make your
prediction by leaving a comment starting with either A, B or C and then giving me your explanation.
And I will tally up the votes and let you know the answer next time.
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