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andrew11 [14]
2 years ago
7

The light elastic rod supports a 4 kg sphere. when an 18n vertical force is applied to the sphere, the rod deflects 14 mm. a) fi

nd the amplitude and natural frequency of the system when the 18n force is suddenly released. b) if there is an earthquake and the wall oscillates with a harmonic frequency of 2 hz and an amplitude of 15 mm up and down, determine the amplitude of vibration for the sphere.
Physics
1 answer:
Zinaida [17]2 years ago
8 0

The amplitude of vibration for the sphere will be 29.48 nm.

<h3 /><h3>What is amplitude?</h3>

The distance between from the crest of a wave to the next crest is known as the amplitude.

The amplitude of the sphere is;

\rm A= \frac{\delta_0}{[1-(\frac{\omega}{\omega_n}^2]} \\\\

The stiffness of the load is;

\rm K = \frac{F}{\triangle y }\\\\ K=\frac{18}{0.014}  \\\\ K=1285.71 \ N/m

The natural frequency is;

\rm \omega_n= \sqrt{\frac{k}{m}} \\\\ \rm \omega_n= \sqrt{\frac{1285.71}{4}} \\\\ \omega_n=17.93 \ rad/sec

Put the obtained values in the amplitude formula;

\rm A= \frac{0.015}{[1-(\frac{4 \pi}{17.93}^2]} \\\\ A= 0.02948 \\\\ A= 29.48 \ nm

Hence,the amplitude of vibration for the sphere will be 29.48 nm.

To learn more about the amplitude, refer:

brainly.com/question/8662436

#SPJ1

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A mover pushes a 46.0kg crate 10.3m across a rough floor without acceleration. How much work did the mover do (horizontally) pus
Alchen [17]

Answer:

<h3>2,321.62Joules</h3>

Explanation:

The formula for calculating workdone is expressed as;

Workdone = Force * Distance

Get the force

F = nR

n is the coefficient of friction = 0.5

R is the reaction = mg

R = 46 ( 9.8)

R = 450.8N

F = 0.5 * 450.8

F = 225.4N

Distance = 10.3m

Get the workdone

Workdone = 225.4 * 10.3

Workdone  = 2,321.62Joules

<em>Hence the amount of work done is 2,321.62Joules</em>

3 0
3 years ago
Identify evidence that supports the theories of continental drift and plate tectonics. put responses in the correct input to ans
GenaCL600 [577]

The evidence that supports continental drift and plate tectonics includes different fossils, the same rocks and the shapes of continents that fit together.

<h3>What is continental drift?</h3>

Continental drift is a theory that states continents once were part of one big landmass known as Pangea.

Nowadays, the theory of continental drift proposed by Alfred Wegener has been replaced by plate tectonics.

In conclusion, the evidence that supports continental drift and plate tectonics includes fossils, the same rocks and the shapes of continents that fit together.

Learn more on the continental drift here:

brainly.com/question/394265

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6 0
2 years ago
The radius of the earth is 6378 km. What is the diameter of the earth in meters?
Nesterboy [21]
To determine the diameter of the earth in metres first multiply the original value by 2.

6378 X 2 = 12 756 km.

Then convert km - m

1 km = 1000 m
12 756 km = ? m

12 756 • 1000 = 12 756 000 = 12 756 000 m or 1.2756 X 10 ^ 7 m

The final solution for the diameter is 1.2756 X 10 ^ 7 m.
7 0
3 years ago
What is occurring when two waves traveling along the same medium meet and cancel each other out?
timofeeve [1]

Answer:

Destructive interference

Explanation:

Destructive interference occurs when waves come together in such a way that they completely cancel each other out. When two waves interfere destructively, they must have the same amplitude in opposite directions.

6 0
3 years ago
Read 2 more answers
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bearhunter [10]

CORRECT ANSWER:

D. short-run; long run

STEP-BY-STEP EXPLANATION:

The whole question from book is

Evidence suggests that there may be _______ momentum and ________ reversal patterns in stock price behavior.

A. short-run; short-run

B. long-run; long-run

C. long-run; short-run

D. short-run; long run

Evidence suggests that there may be <em><u>short-run</u></em> momentum and <em><u>long run </u></em>reversal patterns in stock price behavior.

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