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2 years ago

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Periodic trends vary as we move across the periodic table. In general, as you move across a row (from left to right) in the peri

odic table A) ionic size increases. B) atomic radius decreases. C) nuclear charge decreases. D) ionization energy decreases.

2 answers:

Trava [24]2 years ago

8 0

Pretty sure the answer is B

igor_vitrenko [27]2 years ago

8 0

Answer: Option (B) is the correct answer.

Explanation:

In the periodic table when we move from left to right across a period then there occurs a decrease in atomic radius of the elements.

This is because electrons are added into the same shell and therefore, force of attraction between the nucleus and valence electrons is increases which leads to shrinkage in size.

Hence, atomic radius of the elements decreases.

Thus, we can conclude that in general, as you move across a row (from left to right) in the periodic table atomic radius decreases.

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A mass weighing 32 pounds stretches a spring 2 feet.

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Answer:

$A = 1.803 ft$

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Explanation:

A mass weighing 32 pounds stretches a spring 2 feet;

it implies that the mass (m) = $\frac{w}{g}$

m= $\frac{32}{32}$

= 1 slug

Also from Hooke's Law

2 k = 32

k = $\frac{32}{2}$

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Using the function:

$\frac{d^2x}{dt} = - 16x\\\frac{d^2x}{dt} + 16x =0$

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$x(0) = -6$ ( as a result of upward velocity)

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$x(t)=c_1cos4t+c_2sin4t\\x^{'}(t) = 4(-c_1sin4t+c_2cos4t)$

However;

$x(0) = -1$ means

$-1 =c_1\\c_1 = -1$

$x(0) =-6$ also implies that:

$-6 =4(c_2)\\c_2 = - \frac{6}{4}$

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$A = 1.803 ft$

Period can be calculated as follows:

= $\frac{2 \pi}{4}$

= $\frac{\pi}{2}$ seconds

How many complete cycles will the mass have completed at the end of 4 seconds?

At the end of 4 seconds, we have:

$x* \frac{\pi}{2} = 4 \pi$

$x \pi = 8 \pi$

$x=8$ cycles

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