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Drupady [299]
4 years ago
6

9. Magnesium 9 (Mg), Calcium (Ca) and Barium (Ba) are all in the same group on the periodic

Physics
1 answer:
stiks02 [169]4 years ago
3 0

Answer:

C. They all react with substances in similar ways

Explanation:

First of all, let's define a few quantities:

- Atomic number: it is the number of protons in the nucleus of an atom. For neutral atoms, the atomic number is also equal to the number of electrons in the atom (since neutral atoms have same number of protons and electrons)

- Valence electrons: these are the electrons in the most external shell of the atom. When the outermost shell is full, the element does not react, since it does not easily gain/give away electrons. When the outermost shell is not full, the atom tends to gain or give away electrons in order to complete this shell, so the atom is more reactive.

Now we can analyze the different statements:

A. They all have the same atomic number  --> false: magnesium has atomic number 12, calcium has atomic number 20, barium has atomic number 56

B. They all have the same number of electrons  --> false: since the atomic number of the 3 elements is different, they have different number of electrons

C. They all react with substances in similar ways  --> true: these 3 elements are all in the same group of the periodic table, this means they have the same number of valence electrons, so they all react in the same way

D. They were all discovered by Dmitri Mendeleev --> false: these elements were already known before Mendeleev, he just re-arranged them into the periodic table

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The blade of metal cutter is shorter than that scissors of tailors<br><br>​
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You are asked to design a spring that will give a 1070 kg satellite a speed of 3.75 m/s relative to an orbiting space shuttle. Y
Dvinal [7]

Answer:

380697.33\ \text{N/m}

0.138\ \text{m}

Explanation:

m = Mass rocket = 1070 kg

v = Velocity of rocket = 3.75 m/s

a = Acceleration of rocket = 5g

g = Acceleration due to gravity = 9.81\ \text{m/s}^2

The energy balance of the system is given by

\dfrac{1}{2}kx^2=\dfrac{1}{2}mv^2\\\Rightarrow kx=\dfrac{mv^2}{x}\\\Rightarrow kx=\dfrac{1070\times 3.75^2}{x}\\\Rightarrow kx=\dfrac{7250}{x}

The force balance of the system is given by

ma=kx\\\Rightarrow m5g=\dfrac{7250}{x}\\\Rightarrow x=\dfrac{7250}{1070\times 5\times 9.81}\\\Rightarrow x=0.138\ \text{m}

The distance the spring must be compressed is 0.138\ \text{m}

k=\dfrac{7250}{x^2}\\\Rightarrow k=\dfrac{7250}{0.138^2}\\\Rightarrow k=380697.33\ \text{N/m}

The force constant of the spring is 380697.33\ \text{N/m}.

4 0
3 years ago
Water towers store water above the level of consumers for times of heavy use, eliminating the need for high-speed pumps. How hig
Salsk061 [2.6K]

Answer:

So height will be 47.387 m

Explanation:

We have given gauge pressure P=4.63\times 10^5N/m^2

Density of water \rho =997kg/m^3

Acceleration due to gravity g=9.8m/sec^2

We know that pressure is given as P=\rho gh

4.63\times 10^5=997\times 9.8\times h

h=47.387m

So height will be 47.387 m

4 0
3 years ago
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