A block of mass 500 g is attached to a horizontal spring, whose force constant is 25. 0 n/m. The block is undergoing simple harmonic motion with an amplitude of 6. 00 cm. At t=0 the block is 4. 00 cm to the left of its equilibrium position and is moving to the right. At what time t1 will it first reach the limit of its motion to the right?

Answers

Answer 1

The time taken for the car to reach the limit or amplitude of the motion is 0.33 s.

Equation for the simple harmonic motion of the block

The equation for the simple harmonic motion of the block is calculated as follows;

y = A sin(ωt + Φ)

where;

A is the amplitudeω is the angular speedt is the time of motionΦ is the phase angle

Angular speed

The angular speed is calculated as follows;

[tex]\omega = \sqrt{\frac{k}{m} } \\\\\omega = \sqrt{\frac{25}{0.5} } \\\\\omega = 7.07 \ rad/s[/tex]

Phase angle

[tex]\Phi = sin^{-1} (\frac{-4}{6} )\\\\\Phi = -0.73 \ rad[/tex]

The time taken for the car to reach the limit or amplitude of the motion is calculated as follows;

0.06 = 0.06sin(7.07t - 0.73)

1 = sin(7.07t - 0.73)

7.07t - 0.73 = sin⁻¹(1)

7.07t - 0.73 = 1.57

7.07t = 2.3

t = 2.3/7.07

t = 0.33 s

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Related Questions

True or false. One of the eggs has a miniature ship inside. True false

Answers

The excerpt on Jake and Summer in the armory museum shows that it is true that one of the eggs has a miniature ship inside.

What is an excerpt?

An excerpt is a short piece that is being extracted from a film or writing for the purpose of providing key documentation and to help us locate the information we are looking for.

From the excerpt on Jake and Summer in the armory museum;

Jake and summer walk through the front door into the armory museum and when they find the Faberge eggs;

It is true that one of the eggs has a miniature ship inside.

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Answer:

true

Explanation:

Keeping in mind the symbolism in this passage, what is the best interpretation of caesar’s attitude about his possible death? his name will live on it glory when he dies. These omens relate to other people, too. He believes the predictions are false. His end will be decided by the gods

Answers

The best interpretation of caesar’s attitude about his possible death is; D: His end will be decided by the gods.

What is the best interpretation of the statement?

According to Julius Caesar, the predictions given by Calpurnia speak of his death.

Julius Caesar replies her saying indirectly, that death will happen to him as much as it will happen to anyone in the world even though he states that if it is purposed by the gods, it cannot be avoided.

Finally, in response, Calpurnia cautions him implying that there is a difference between kings and beggars because when beggars die, comets are not seen. In other words, the death of a beggar may not be nearly as impactful as the death of a King.

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Answer:

D) His end will be decided by the gods

Explanation:

What was one of the tests that lavoisier performed to prove the law of conservation of mass?

Answers

Answer:

Lavoisier carefully checked that the mass of reacted water (the mass loss of the retort subtracted from the mass increase of the collecting bottle) equaled the total mass of hydrogen collected in the bell jar and oxygen calculated from iron weight increase.

Explanation:

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If a particle has a speed of r feet per second and travels a distance d​ (in feet) in time t​ (in seconds), then d

Answers

The expression of distance from the given parameters is; d = r * t

What is the formula for distance?

The formula to calculate distance is physics is;

Distance = speed * time

Now, we are given;

speed = r ft/s

distance = d ft

time = t seconds

Thus, our formula for distance will now be expressed as;

d = r * t

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A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80. 54 and 88. 9 is

Answers

Answer:

0.00000046997

Explanation:

→ Set up normal distribution without sample size

x ∼ N ( 12 , 84² )[tex]x[/tex]

→ Set up normal distribution with sample size

[tex]x\alpha N(12,\frac{84^{2} }{36})[/tex]

→ State probability to find

p ( 80.54 < x < 88.9 )

→ Use calculator to find the values

Lower = 80.54, Upper = 88.9, σ = √84² ÷ 36 and μ = 12

Big ideas math: course 3 (california edition) answers

Answers

Answer:A conditional statement, symbolized by p → q, can be written as an “if-then

statement” in which p is the hypothesis and q is the conclusion. Here is an example.

hypothesis, conclusion,

If a polygon is a triangle, then the sum of its angle measures is 180 .

p q

°  

Explanation:

hello people ~
How can we adopt good habits? ​

Answers

Answer:

Good Habits aren't made in one day and require a lot of effort especially if you have to break out of bad habits. Always start small and build a foundation on which larger changes can rest.

A researcher wants to know the typing speed of the students of a large vocational school. The population standard deviation is previously known to be 2. 3 minutes. If the researcher wants a margin of error of 0. 50 minute and alpha level of 0. 05, what should be the sample size

Answers

The required sample size of the research is gotten to be; 324 students.

What is the Sample Size?

We are given;

Population standard deviation; σ = 2.3 minutes

Margin of error; E = 0.5 minutes

Significance level; α = 0.05

Since margin of error is 0.5, then we have a standard deviation of;

S = 2.3 - 0.5 = 1.8

Significance level is 0.05. Thus;

0.05 * 1.8 = 0.09

Now, this question has an earlier part whereby the data was from 1000 students. Thus;

The sample size is;

n = 0.09 * (1.8 * 2) * 100

n = 324 students

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What part of speech is secure, as used in this excerpt? what word is secure describing? what does secure mean, as used in this excerpt?

Answers

The part of speech which is secure, as used in this excerpt is:

Adjective

What are parts of speech?

The trojan Horse is a common allusion utilized as a kind of spy to get into a thing which is secure by disguising as something which is not harmful or threatening based on the Battle of Troy.

With that description above, some virus software's operate in that same way above they disguise themselves and enter into a secure system and proceed to destroy it from the inside.

Thus, we conclude that;

The part of speech which is secure, as used in this excerpt is: Adjective

The word which "secure" is describing is: Software

The thing which "secure" means, as used in this excerpt is: Safe from attack

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Answer:

What part of speech is secure, as used in this excerpt?

✔ adjective

What word is secure describing?

✔ software

What does secure mean, as used in this excerpt?

✔ safe from attack

Explanation:

Correct on Edg 23

The writer is considering adding the following sentence after sentence 14 to strengthen the case that basic income should be more widely accepted. some news outlets suggest that since the trend is growing, it is only a matter of time before bi becomes a reality. should the writer add this sentence after sentence 14 ?

Answers

The writer should not add this sentence after sentence 14 because the absence of specific sources or statements from those sources makes the claim of the sentence seems unsupported.

What does strengthening implies?

The term strengthen connote to make a thing or an action to be stronger.

Note that the  sentence above will not fit into sentence 14 because the absence of specific sources or statements from those sources makes the claim of the sentence seems unsupported.

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Based on this passage, what do townspeople believe will happen if they stop holding the lottery? they will lose their corn crop. They will no longer be able to find acorns. The townspeople will stop making jokes. The town will lose its young people

Answers

Answer:

they will lose their corn crop

Explanation:

I got it wrong and they showed me the answer

Answer:

the answer is A or They will lose their corn crop

Explanation: 2022 Edge :)

When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee (4cups = 1 qt). how many liters of coffee can be obtained per kilogram of coffee beans?

Answers

The number of liters of coffee that can be obtained per kilogram of coffee beans is; 5277.78 liters of coffee per kg of coffee beans

How to convert units?

We are told that 1 pound of coffee yields 50 cups of coffee.

So we need to find the pounds of coffee beans required to produce 250 cups

Let's say we want to find the kg of coffee required to produce 200 cups of coffee. Then it is;

1 pound/50 cups * 4/4

= 4 pound/200 cups * kg/2.205 pound

= 0.009 kg/200 cups

Therefore 0.009 kilogram is used to produce 200 cups of coffee

Thus;

number of cups per kg = 200/0.009 cups per kg

Since 4 cups = 1 qt = 0.95 L

Then; 200/0.009 cups = ((200/0.009) * 0.95)/4

⇒ 5277.78 liters of coffee per kg of coffee beans

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Four bricks of length l, identical and uniform, are stacked on top of one another (the figure) in such a way that part of each extends beyond the one beneath. Find, in terms of l, the maximum values of (a) a1, (b) a2, (c) a3, (d) a4, and (e) h, such that the stack is in equilibrium

Answers

The maximum values of a₁, a₂, a₃, a₄ and h to make the stack in equilibrium are; a₁_max = L/2; a₂_max = L/4; a₃_max = - L/6; a₄_max = -L/8; h = 25L/24

What is the maximum width?

The system is in equilibrium and length of each brick = L

a) For brick 1;

Due to the fact that the center of gravity lies to the right of L/2,

Then we can say that the maximum value of a₁ = L/2

b) For brick 2;

Since the center of gravity lies to the right of L/2, then we can say that;

The maximum value of a₂ = ¹/₂a₁_max

Thus, the maximum value of a₂ = L/4

c) For brick 3;

Taking the moment of force, the maximum value of a₃ is;

a₃_max =  [(-¹/₂mL) + 2m(0)]/(2m +m)

a₃_max = - L/6

d) For the brick 4;

Taking the moment of force, the maximum value of a₄ is;

a₄ = [3(0) m + m(-L/2)]/(3m + m)

a₄_max = -L/8

e) The value of h = |a1| + |a2| +|a3| + |a4|

h = L/2 + L/4 + L/6 + L/8

h = ((12 + 6 + 4 + 3)/24)L

h = 25L/24

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Calculate the volume occupied by 2.59 mol of helium gas at a pressure of 0.826 atm and a temperature of 356 k.

Answers

The volume occupied by the given mol of helium gas at the given temperature and pressure is 91.6L.

Given the data in the question;

Amount of helium; [tex]n = 2.59mol[/tex]Pressure; [tex]P = 0.826atm[/tex]Temperature; [tex]T = 356K[/tex]

Volume of helium; [tex]V = \ ?[/tex]

Ideal Gas Law

The Ideal gas law or general gas equation emphasizes on the state or behavior of a hypothetical ideal gas. It states that  pressure multiplied by volume is equal to moles multiply by the universal gas constant multiply by temperature. It is expressed;

[tex]PV = nRT[/tex]

Where P is pressure, V is volume, n is the amount of substance, T is temperature and R is the ideal gas constant (  [tex]R = 0.08206Latm/molK[/tex] )

To determine the volume occupied by the helium gas, we substitute our values into the expression above.

[tex]PV = nRT\\\\V = \frac{nRT}{P} \\\\V = \frac{2.59mol\ *\ 0.08206Latm/molK\ *\ 356K}{0.826atm} \\\\V = \frac{75.6626L}{0.826}\\ \\V = 91.6L[/tex]

Therefore, the volume occupied by the given mol of helium gas at the given temperature and pressure is 91.6L.

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Find the volume of the triangular pyramid to the nearest whole number. a) 72 units3 b) 96 units3 c) 144 units3 d) 288 units3

Answers

Answer:

the answer is 96 units

Explanation:

i just took the test

Which factor has brought peace and stability to many southern african countries?

Answers

Answer:

Because of Democratic government !

Explanation:

Hope its helps you ! :)

A father and his son are celebrating the father’s 75th birthday. drink for drink, who will most likely have a higher bac? the father the son their bacs will be equal whose bac will be higher cannot be predicted

Answers

The person who is most likely have a higher bac is the father.

What BAC means?

The term is Blood Alcohol Concentration. BAC is known to be the percent of alcohol that can be found  in an individual bloodstream. A

The ability to metabolize alcohol declines in younger people. Even if two people drink the same amount of alcohol, older people tends to have higher blood alcohol concentrations than younger people due to the some alterations and as such have lower volume of total body water and thus reduce the rates of removal of alcohol from the body.

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What is the measure of angle x? enter your answer in the box

Answers

Answer:

the measure of angle x is 48

Explanation:

Since we know the measurement of a straight line = 180 degrees, we can subtract 90 and 42 from 180. The answer is 48 degrees.

A 10 kg box initially at rest is pulled 32 meters across a horizontal, frictionless surface by a 40 n force, as shown in the diagram below

Answers

The final velocity of the bock over the given distance is 12m/s.

Acceleration of the block

The acceleration of the block is calculated as follows;

F = ma

a = F/m

a = 40/10

a = 4 m/s²

hope this helps <3

Hot pizza hurts the tongue conduction convection or radiation

Answers

Answer:

convection is the correct one

The average number of calories in a 1. 8 ounce chocolate bar is 230

Answers

This question is not fully asked

What type of instrument is a mandolin?

Answers

Answer:

stringed musical instrument

Explanation:

Stringed musical instruments

Which are the two highest level taxa in the linnaean system?

Answers

Answer:

The two highest level taxa in the Linnaean system are the kingdom and phylum, except in plants, which have divisions instead of phyla.

Explanation:

Which term refers to president kennedy's programs for civil rights, women's rights, and aid to the poor?

Answers

the answer is the new frontier

How many outer-shell d electrons are there in each of the transition-metal ions?

Answers

Answer:

Mn(IV): 3 outer-shell d electrons

Co(III): 6 outer-shell d electrons

Fe(II): 6 outer-shell d electrons

Ni(II): 8 outer-shell d electrons

Explanation:

Mn(IV):

The ion is Mn⁴⁺, so it has lost 4 valence electrons. The ground state electronic configuration of Mn is [Ar]3d ⁵ 4s ². When the neutral atom loses 4 electrons, the electronic configuration is [Ar]3d ³.

outer-shell d electrons = 3

Co(III):

The ion is Co³⁺, so it has lost 3 valence electrons. The ground state electronic configuration of Co is [Ar]3d ⁷4s ². When the neutral atom loses 3 electrons, the electronic configuration is [Ar]3d ⁶.

outer-shell d electrons = 6

Fe(II):

The ion is Fe²⁺, so it has lost 2 valence electrons. The ground state electronic configuration of Fe is [Ar]3d ⁶4s ². When the neutral atom loses 2 electrons, the electronic configuration is [Ar]3d ⁶.

outer-shell d electrons = 6

Ni(II):

The ion is Ni²⁺, so it has lost 2 valence electrons. The ground state electronic configuration of Ni is [Ar]3d ⁸4s ². When the neutral atom loses 2 electrons, the electronic configuration is [Ar]3d ⁸.

outer-shell d electrons = 8

Damian is paid $1,980 monthly. what is his annual salary?

Answers

Answer:

23,760 i think

Explanation:

I mean just multiply 1,890 * 12 and you get 23,760. let me know if its wrong i can correct it. hope this helps :3

Based on the titles, which is a procedural text? "top 100 films of the century" the life of theodore roosevelt "replacing a garbage disposal" battles of the revolutionary war

Answers

Based on the titles given, a title which is an example of a procedural text is: C. "replacing a garbage disposal"

What is a procedural text?

A procedural text can be defined as a textual information that comprises a sequence of actions or steps that are required (needed) to make, do or complete a specific task.

Generally, the steps that are involved in the process of writing a procedural text include the following:

Create a title.List all the materials that are required (needed) to support the process.Consider the best method.Evaluate the process.Define numbered steps.

In conclusion, "replacing a garbage disposal" is a title which is an example of a procedural text.

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Answer:

C

Explanation:

Edge 2022

This graph shows changes in gdp and the unemployment rate in the united states in recent years. A graph titled annual change in u s unemployment and g d p from 2005 to 2012 has year on the x-axis and percent of change on the y-axis, from negative 4 to 4 in increments of 2. Between 2008 and 2009 the g d p decreased by about 3 percent. Between 2008 and 2009, the unemployment rate increased about 1. 5 percent. The unemployment rate was highest in 2009. In what year would someone looking for work have had the hardest time finding a job? 2008 2009 2011 2012

Answers

Someone who is looking for work would have had the hardest time finding a job in 2009.

What is GDP?

GDP is an acronym for Gross Domestic Products and it can be defined as a measure of the total market value of all finished products (goods) and services that are manufactured within a country during a specific period of time.

This ultimately implies that, Gross Domestic Products (GDP) is a measure of the total income of all the individuals living in a country (economy) and the total expenses incurred on the economy's output of products (goods) and services in a particular country.

Based on the graph in the image attached below, someone who is seeking for employment (work) would have had the hardest time finding a job in USA in 2009 because unemployment was at its peak.

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Answer:

B: GDP and unemployment have little to do with each other.

Explanation:

Which refers to facts, quotations, examples, anecdotes, and statistics?

Answers

A word that refers to facts, quotations, examples, anecdotes, and statistics is evidence.

What is an evidence?

An evidence can be defined as a body of factual information that comprises quotations, examples, anecdotes, and statistics, which are used to show or prove that something is credible, truthful, reliable, and verified.

This ultimately implies that, an evidence is any word in English language or law that refers to facts, quotations, examples, anecdotes, and statistics.

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Which one of these might appear in an evalution of a poem

Answers

A discussion of specific uses of alliteration .
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