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3 years ago

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The big bang theory is one of the most accepted theories on the origin of the universe because of scientific evidence, such as _

____.

2 answers:

solmaris [256]3 years ago

3 0

<span>The big bang theory is one of the most accepted theories on the origin of the universe because of scientific evidence, such as d: distant, exploding quasars were found </span>

vredina [299]3 years ago

3 0

Answer:

Movement of Galaxies away from us.

Explanation:

Big Bang theory is the most widely accepted theory which says that the universe started with a huge expansion, it was not an explosion. By that logic everything must be moving from each other even today. This was proved by observing the Redshift in the spectrum of the galaxies which means that they are moving away from us.

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A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest fro

svetoff [14.1K]

Answer:

The equation of motion is $x(t)=-$ $\frac{1}{3} cos4\sqrt{6t}$

Explanation:

Lets calculate

The weight attached to the spring is 24 pounds

Acceleration due to gravity is $32ft/s^2$

Assume x , is spring stretched length is ,4 inches

Converting the length inches into feet $x=\frac{4}{12} =\frac{1}{3}feet$

The weight (W=mg) is balanced by restoring force ks at equilibrium position

mg=kx

$W=kx$ ⇒ $k=\frac{W}{x}$

The spring constant , $k=\frac{24}{1/3}$

= 72

If the mass is displaced from its equilibrium position by an amount x, then the differential equation is

$m\frac{d^2x}{dt} +kx=0$

$\frac{3}{4} \frac{d^2x}{dt} +72x=0$

$\frac{d^2x}{dt} +96x=0$

Auxiliary equation is, $m^2+96=0$

$m=\sqrt{-96}$

= $\frac{+}{} i4\sqrt{6}$

Thus , the solution is $x(t)=c_1cos4\sqrt{6t}+c_2sin4\sqrt{6t}$

$x'(t)=-4\sqrt{6c_1} sin4\sqrt{6t}+c_2$ $4\sqrt{6}$ $cos4\sqrt{6t}$

The mass is released from the rest x'(0) = 0

$=-4\sqrt{6c_1} sin4\sqrt{6(0)}+c_2$ $4\sqrt{6}$ $cos4\sqrt{6(0)}$ =0

$c_2$ $4\sqrt{6} =0$

$c_2=0$

Therefore , $x(t)=c_1$ $cos 4\sqrt{6t}$

Since , the mass is released from the rest from 4 inches

$x(0)= -4$ inches

$c_1 cos 4\sqrt{6(0)} =-\frac{4}{12}$ feet

$c_1=-\frac{1}{3}$ feet

Therefore , the equation of motion is $-\frac{1}{3} cos4\sqrt{6t}$

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2 years ago

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sattari [20]

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Fold the trapezoid in half and fold again. ...
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3 years ago

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mrs_skeptik [129]

Answer:

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Explanation:

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Why does a typhoon hit a location twice?

Natalka [10]

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3 years ago

Which scientist first suggested that the sun was at the center of the solar system?

pogonyaev

Answer:

Nicolaus Copernicus

Explanation:

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3 years ago

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