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25 questions in the Category: mathematical sciences.

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1: Why in nature, do most flowers have a Fibonacci number of petals?
2: Since the exact location of an electron can not be known since the electron is constantly in motion is it possible to tell the direction the electron is moving? Is that direction known theoretically or actually?
3:

Given an Ostrich egg with known density, what is its age?
Here is the data file:
click here to see

4:

How can I determine the magnitude of the vertical (“up”) force that the sphere exerts on the lid, given the radius of the cone, its tangential velocity, and the mass of the sphere (s) (and of course, from that information, the centripetal acceleration experienced by the sphere)?

see figure

I have done the following calculations (shown below) to determine the magnitude of the vertical force, with the help of a professor from school. We made a few assumptions about the rotating sphere in order to simplify the problem, but overall I think the calculations should still approximate a real life situation. I would like to make sure that we have not made any errors, however. Would you guys mind looking at it and making sure our calculations are correct?

Thank you!

∑ FY = (– m*g) – N2M + (N*sinθ) = 0
∑ FX = (N*cosθ) = m*(v2/r)
N2 = (m*g) – (N*sinθ)
(N*cosθ) = (m*v2)/r
N = (m*v2)/(r*cosθ)
N2 = (m*g) – ( ((m*v2)/ (r*cosθ))*sinθ )
N2 = (m*g) – ( ((m*v2)/r) *tanθ)
N2 = m*(g – ((v2/r) *tanθ) )

“Up” Force = N2 = m*(g – ((v2/r)*tanθ) )
Where v equals the tangential velocity of the rotating cone.


5: How is that 1 kg is equal to one Newton and how can I find it?
6: If a bus with passengers is moving an amount of CO2 released by the vehicle itself as well as by the passengers, is this amount of CO2 greater or smaller than the CO2 released only by the passengers if they were riding their bikes?
7: How advanced is the world in the development of artificial intelligence?
8: Why does hot air rise?
9: What is meant by Morse Code?
10: I have tried to calculate the moon's gravity at 100,000 km distance from its surface by using the inverse square law, but I get confusing results. Please help me.
11: How do we know the distance that a star is from earth? How is it calculated? Also how do we know how hot stars are? And how do we know that there is plasma on them?
12: How do we measure the radius of other planets? Thanks.
13: Does a basketball go higher or a volleyball?When you throw a basketball or a volleyball ball which one takes more distance?
14: How "Avogadro constant" was invented and how scientists calculated it for the first time?
15: How can we locate earthquakes?
16: I want to be a scientist, but Maths is hard for me. Is there any science not using complex Maths like Algebra and Geometry?
17: Is there anyway to improve your Maths result and being great in Science subject?
18: Can you explain to me what an independent variable is?
19: There is an article on your site about the gravitational pull of the planets upon each other. My question is what happens when the earth passes through the gravitational field between the sun and another big planet such as Jupiter or Saturn. So there would be some gravity between the earth and Jupiter, but there would also be gravity between the sun and Jupiter and the earth would be passing through this field. Can this be measured? What happens? Casey the Curious.
20: Why do crystals form in water? What do you do in your lab with others? Me and my dad are interested in what you do.
21: Why, if two wrongs don't make a right, do two negatives make a positive in mathematics?
22: Why is any nonzero number raised to the power of zero equal to one?
23: What is a Planck unit?
24: I wonder why there are more boys than girls in different parts of the world?
25: How do you find the right formula in any problem?
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