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Generally speaking, the sand should be fast, the density of the first sand is greater than the density of water, and the second is that the sand is easy to form a whole with the glass, who is easy to shake in the cup, affecting the speed, if the water freezes, it has to be heavier, and the heavy one should be fast, because the weight is large, the acceleration is fast.
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Water fast! Because water can move in the body, and when the sand is full, it can't move, the sand is stuffed, it is solid, and it can only move if the liquid is full! As soon as you move, roll in the direction of movement!
Hasten! The water will automatically adjust its center of gravity as the cup rolls, and the cup will roll faster, so the water will be faster!!
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Loading sand quickly. The title says "Filled". The glass is filled with sand, and the relative movement between the sand and the sand and the wall of the glass is very small, which is equivalent to the overall motion.
Even if the water is full, because its fluidity is relatively good, there is sliding friction with the glass wall, which consumes kinetic energy.
Of course, if the question is not full, it is a different situation.
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I think it's a quick filling of water!
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I agree with the statement of "tongshaing", which is reasonable and valid.
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The bottle with the heavy stuff in it! #
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Since the resistance received by both is exactly the same, they are equally fast (an evolutionary version of the experiment in which two objects hit the ground at the same time).
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The mass is fast because the inertia of the object is related to the mass of the object itself, the greater the mass, the greater the inertia of the object. Mass is the amount of matter an object contains! It's what we usually say, something like that"Serving size".Junior high school physics, but I'm not necessarily right! Thank you!
The sand is fast!
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Generally speaking, the beans should be fast, the density of the first beans is greater than the density of water, and the second is that the beans are easy to form a whole with the glass, and the water is easy to shake in the cup, which affects the speed.
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Filled with beans or filled with water, the beans and water back have relative motion with the bottle, the problem is very complicated, and the density of beans and water does not know which is bigger, even if the density of beans is large, but the beans can not be filled, and water can, or I don't know who is heavier.
I'm simplifying the problem and thinking that both bottles are rigid bodies, there is no relative motion inside, only the effects of weight and mass distribution are considered, and the bottles do non-slip rolling, which I think may be the original intention of your problem. I can do what I can for everyone.
Under this model, the weight of the two bottles has no effect on the speed of rolling, and the influence of the mass distribution is the slow rolling of the object near the center when the weight is equal.
I used to think that thinking about rotation would lead to a slower roll with heavy weight, but it seems that I took it for granted, or it was more sure of the column form.
The Law of Energy Conservation.
mgh=1/2mv*v+1/2iw*w+υmgcosθ*(h/sinθ)
1 2iw*w is the kinetic energy of rotation, i is the moment of inertia w is the angular velocity, w=v r, r is the radius of the bottle.
v = [2mgh-2 mgcos *(h sin)] (m+i r*r) under the root number
The moment of inertia i = kmr*r, and the coefficient k is related to the mass distribution, but it is the same for objects with the same mass distribution, bringing in the equation v, found.
v = [2gh-2 gcos *(h sin)] (1+k) under the root number
Regardless of the weight, m is about to be dropped. But it is related to the mass distribution, the mass distribution near the edge of the object k is large, the velocity is small, for example, for the solid uniform sphere k is 2 5, the solid uniform circle is 1 2, the maximum can be taken 1
In fact, considering that the rotation is only 1 (1+k) more than just the decline, the reason is that the gravitational potential energy is converted into the kinetic energy of rotation in addition to the non-translational kinetic energy, and the result is still independent of the mass, but the result is smaller than the speed that everyone usually thinks, multiplied by the reduction factor of 1 (1+k) under the root number, and the objects k with different mass distribution are different.
The k of full water and half a bottle of water is the capitalization of half a bottle of water, which does not take into account the flow of water, and the slow of half a bottle of water.
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Just as fast! Simple law of energy conservation.
mgh=1/2mv*v+fs
gh=1/2v*v+gcosθ*s
Speed has nothing to do with quality.
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No matter what's in it or how much it's in, it's theoretically just as fast.
Judging by Galileo's "experiment with two iron balls":
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It should be just as fast.
Judging by Galileo's "experiment with two iron balls":
There are two iron balls, one is 10kg and the other is 20kg. Thrown down at the same time on the upper floor 50m above the ground, the result is that two iron balls hit the ground at the same time.
I think the principle of your question is the same as this one.
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Ideally, the acceleration of the slope is gsin (g is the acceleration of gravity, sin is the sine value of the angle of the inclined plane), it is independent of weight, or there is the same friction factor, the acceleration is gsin - gsin is also as fast as weight, but in practice, it is difficult to say, how the second floor is mixed to level 9. #
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Don't worry about the reasoning first, you can just show the child if you can't do it. Actually, the answer on the second floor is good.
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The first one with beans ran fast.
The second one is half a bottle of water fast.
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The heavy one is (personal opinion).
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Of course, a bottle full of water rolls faster, because a bottle of water is heavier than a bottle of beans.
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If acceleration is taken into account, the water will slowly become faster. Personally, I don't think there's any internal energy consumption in the glass. If you want to solve this problem accurately, it is recommended that you do a simple experiment with your child when you have time.
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The water will be slower because a considerable part of the potential energy it drops is converted into the internal energy of the water, but the beans will not move again after being filled may not consume the potential energy, the second question is not easy, whether it will be the other way around is not easy to say
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The bottle containing sand rolls fast, because the sand is only solid and does not move itself, and the water is liquid, and its own movement will affect the rolling of the bottle, so the bottle with sand rolls fast.
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If it is full, the sand is fast, and it should be massive, so the acceleration will be larger.
If half of the water is loaded, the water is fast, and the friction between the sand should be high, so the center of gravity is relatively stable.
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Bottles of sand roll quickly.
Because the sand basically remains relatively stationary with the bottle, while the water is flowing, flowing in the bottle, constantly rubbing against the bottle to generate heat, thus losing part of the energy, so the speed is smaller.
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When the bottle of water rolls, the water inside is not synchronized with the bottle, and the same is true for the sand, but the relative movement trend of the bottle is more obvious, which has a greater impact on the overall rolling speed of the bottle.
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Filled with water rolls fast.
The reason is that in the case of a full bottle, the water filled can be considered solid.
The sand is not dense and is constantly squeezed when rolling, consuming the energy of rolling.
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Wrong. Fill the water faster.
The process of the bottle rolling down can be seen as the process of converting potential energy into kinetic and internal energy. In the process of converting potential energy into kinetic energy, the velocity is independent of mass, and in the process of converting into internal energy, the greater the friction with the bottle wall, the more loss there is.
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The bottle of water rolls fast.
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Water, because the fluidity of water is good, the center of gravity changes blocks.
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The density of water is greater than that of dish soap.
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Because the specific gravity of dish soap is greater than that of water.
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1 3 is faster because 1 3 has less light friction and the center of gravity of the water is higher on the inclined plane.
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There is a lot of water, the height is the same, the mass is large, the potential energy is large, and the kinetic energy is also large, so the speed is fast.
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The acceleration is the same, and the two velocities are the same.
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