A student is bouncing on a trampoline. At her highest point, her feet are 95 cm above the trampoline. When she lands, the trampoline sags 25 cm before propelling her back up.

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Answer 1

The time she spent in contact with the trampoline is 0.1619 seconds.

The objective of this question is to determine for how long she is in contact with the trampoline?

The conservational force is exerted on the trampoline is equivalent to the sum of the potential energy at the highest point and the elastic energy at the lowest point.

From the given information;

[tex]\mathbf{mg \dfrac{(95 +25)}{100} = \dfrac{1}{2}k ( \dfrac{25}{100})^2}[/tex]

[tex]\mathbf{m\times g\times 1.2 = k(0.03125)}[/tex]

[tex]\mathbf{m\times 9.8 \times 1.2 = k(0.03125)}[/tex]

[tex]\mathbf{\dfrac{m}{k} = \dfrac{(0.03125)}{9.8 \times 1.2}}[/tex]

[tex]\mathbf{\dfrac{m}{k} = 0.002657}[/tex]

Using the Simple Harmonic Motion to determine the time at which she is in contact with the trampoline, we have;

[tex]\mathbf{t= \dfrac{T}{2}}[/tex]

[tex]\mathbf{t= \dfrac{2 \pi}{2} \sqrt{\dfrac{m}{k}}}[/tex]

where;

[tex]\mathbf{\dfrac{m}{k} = 0.002657}[/tex]

[tex]\mathbf{t= \dfrac{2 \pi}{2} \times \sqrt{0.002657}}}[/tex]

[tex]\mathbf{t=0.1619\ sec}}[/tex]

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Related Questions

You have a worksheet in excel that will print as 10 pages.

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Considering the situation described above, to ensure that the header row is printed at the top of each page, the user should start by "going to Page Layout tab."

The other steps to ensure that the header row is printed at the top of all the 10 pages include the following steps:

Click page set up under page set up a group.Go to print titles.Click Rows to repeat at top.Select the cell that contains the text you want to repeat.Click OK.

Hence, in this case, it is concluded that to print the header row is to click on the "Page Layout Tab."

The full question is:

You have a worksheet in excel that will print as 10 pages. how can you ensure that the header row is printed at the top of each page?

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Water is being pumped from a large lake to a reservoir.

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Answer:

Water is being pumped from a large lake to a reservoir 25 m above at a rate of 25 L/s by a 10-kW (shaft) pump. If the irreversible head loss of the piping system is 5 m, determine the mechanical efficiency of the pump.

Explanation:

hope it help u

itz by Riddhi

The gall he displayed during his exchange with the police officer made us all uneasy.

Answers

It should be noted that the appropriate word that can be used to replace the phrase in italics will be boldness.

From the information given, we are simply to choose the word that can be used to replace the word in italics.

In this case, the chosen word is gall. It should be noted that gall means boldness. Therefore, the sentence will be "The boldness he displayed during his exchange with the police officer made us all uneasy"

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Answer:

bOLDNESS

Explanation:

A recipe says to use 3 cups of flour to make 48 cookies.

Answers

Answer: The constant of proportionality that relates the number of cups with x and the number of cookies with y is 16

The given parameters are:

Cups (x) = 3

Cookies (y) = 48

Represent the number of cups with x and the number of cookies with y.

So, the constant of proportionality (k) is calculated using:

The above equation becomes

Divide 48 by 3

Hence, the constant of proportionality is 16

Explanation:

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins. A table showing rate in part per hour, time in hours, and part of bins emptied. The first row shows first truck and has, startfraction 1 over 5 endfraction, t, and startfraction 1 over 5 endfraction times t. The second row shows second truck and has, startfraction 1 over 8 endfraction, t, and startfraction 1 over 8 endfraction times t. When the two crews start working together, what part of all the garbage bins will the first garbage truck empty? 0. 6 0. 5 0. 7 0. 4.

Answers

When the two crews start working together, the part of all the garbage bins that the first garbage truck will empty is; A: 0.6

We are told that the first truck empties all bins in 5 hours. Thus;

Rate of first truck per hour = ¹/₅

Second truck empties all bins in 8 hours. Thus;

Rate of second truck per hour = ¹/₈

If both trucks work together, their rate per hour is;

Combined rate per hour = ¹/₅ + ¹/₈

Combined rate per hour = ¹³/₄₀

Thus, number of hours it will take for both of them to do the whole job, we will solve as;

¹³/₄₀t = 1

where t is the time it will take both of them combined to finish the whole job.

Thus;

t = ⁴⁰/₁₃

The part that the first garbage truck will empty when they both work together = ¹/₅t = ¹/₅ * ⁴⁰/₁₃

⇒ Approximately 0.6

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Answer:

0.6

Explanation:

they will be evenly working together at 0.6

The gulf stream and global warming reading answers pdf.

Answers

The Gulf Stream simply means the strong ocean current which brings warm water from the Gulf of Mexico till it gets to the Atlantic Ocean.

Your information is incomplete. Therefore, an overview of the topic will be given. It should be noted that the Gulf Stream is a warm ocean current that is in the Western North Atlantic Ocean.

Global warming simply means the long-term heating of the Earth. It's the long-term shift in the weather patterns. This can be a result of the burning of fossil fuels which then produce heat-trapping gases.

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Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark time hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation? mc004-1. Jpg mc004-2. Jpg mc004-3. Jpg mc004-4. Jpg.

Answers

The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total charges for for boarding a pet in x days.

Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Hence:

y = 20x + 15

Bark time hotel charges $30 per day plus a one-time food fee of $5. Hence:

y = 30x + 5

The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.

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In a paragraph of at least five sentences, answer the question: do you agree with picasso's claim that "the urge to destroy is also a creative urge"? include at least one specific reference to each excerpt in your response.

Answers

The question requires a personal answer and for that reason, I cannot write an answer for you, but I will show you how to write it.

First, you must think and reflect on Picasso's statement and what he meant by that statement. You can search for articles that help you think about this statement and decide whether or not you agree with it.

When you form your opinion about it, you can answer your question as follows:

Show your opinion of Picasso's claim.Show the reasons that created this opinion.Support or counter Picasso's claim.Show evidence that your opinion is correct.

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Answer:No I don't agree with Picasso claim that “The urge to destroy is also a creative urge

Explanation:because the meaning of creative urge according to https://english.stackexchange.com “is there a word for the urge to do something creative.”

Creative urge is a sudden and strong compulsion to just create something and the Urge to destroy being a creative urge is very wrong and does not even match the creative urge definition.so I don’t not agree with the definition that the urge to destroy is a creative urge.but instead the urge to destroy should be classified into another destructive meaning but not under creative urge.

Masalimuot kahulugan.

Answers

what was the question?

Answer:

Masalimuot in English means Complicated

Explanation:

composed of elaborately interconnected parts; complex:

difficult to analyze, understand, explain, etc.:

You have been injured in the laboratory (cut, burned, etc.). First you should

Answers

Answer: tell a teacher or go to school nurse or call a parent.

Explanation:

What is the chemical formula for iron(ii) hydroxide? femc033-1. Jpgoh fe(oh)mc033-2. Jpg feohmc033-3. Jpg feoh.

Answers

The chemical formula for iron(ii) hydroxide is Fe(OH)₂

Answer:

B

Explanation:

took the test.

A food worker needs to thaw and cook a large frozen ham.

Answers

Answer:

If ham is In a bag, thaw in sink. but if not in bag put ham in a bag then thaw.

In what way is flick sticking his tongue on the flagpole an example of negative reinforcement?.

Answers

Sticking the tongue on the flagpole is an example of negative reinforcement because it produces an unpleasant sensation. In consequence, this behavior will be avoided in the future.

Negative reinforcement refers to a phenomenon that allows teaching a particular behavior.

Negative reinforcement occurs when an uncomfortable and/or unpleasant situation is taken away as a reaction to a particular stimulus.

This process (negative reinforcement) involves discarding the negative situation in order to strengthen a particular behavior.

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Which process is involved in growing crops? irrigation transportation recreation condensation.

Answers

Answer: irrigation

Explanation:

just took test on edg

Irrigation process is involved in growing crops It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.  

What is irrigation?

Irrigation is the agricultural process of applying controlled amounts of water to land to assist in the production of crops. There are various types of irrigation- sprinkler irrigation, surface irrigation, drip irrigation, and manual irrigation.

It helps in nutritious growth of plants. The process by which water is brought to an area for use in growing crops is called irrigation. Irrigation is the process of artificial application of the desired amounts of water to the growing crops at required intervals. It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.  

Therefore,Irrigation process is involved in growing crops It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.  

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You select cell a1, hover the pointer over the cell border to reveal the move icon, then drag.

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A spreadsheet is used to make the organization of data in a tabular form through a computer application software which can also perform mathematical operations.

With this in mind, we can see that the data is arranged in rows and columns as they can be used to record data for business invoices, expenditures, etc.

Some popular spreadsheets includes:

Micros0ft ExcelLibre0ffice, etc

A cell border can be added, resized and moved, along with the contents to another location.

Please note that your question is incomplete so I gave you a general overview to help  you better understand the concept.

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Which statements regarding triangle e f g are true? select three options.

Answers

Answer:

67 YOU THE BESTAND ANC 643

Explanation:

What is silhak? a. The most sacred of all korean instruments b. A truly korean style that emphasizes the study of things korean c. A traditional korean male hat d. The korean word for picnic.

Answers

Answer: B

Explanation:

please correct me if I am wrong

Answer:

The answer is B

Explanation:

I got it right on my test have a lovely day!

Which statement describes a personal pressure that is commonly associated with tobacco or nicotine use?.

Answers

Answer: children have parents who smoke

Explanation:

It says personal and all the other options are external factors so having parents that smoke is an internal or personal pressure :) I know cause I’m doing the test right now

Which characteristics belong to all members of the domain eukarya.

Answers

Answer:

Characteristics that belong to all members of the domain Eukarya are:

a cell membranenucleus or nucleimembrane-bound organelles

Explanation:

Eukaryota consists of organisms that have a true nucleus and structures called organelles that are surrounded with by membranes.

The presence of nucleus which contains genetic material and is enclosed by a membrane sets them apart from prokaryotic cells.

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Answer:a cell membrane

nucleus or nuclei

membrane-bound organelles

Explanation: i looked at it

In what two ways does the el niño wind pattern affect human habitation?.

Answers

it leads to flooding and drought in different areas.

The formula for density is given by p equals startfraction m over v endfraction, where p is density, m is mass and v is volume. If a substance has a mass of 27. 82 grams and a volume of 3. 6 ml, what is the most accurate density of the substance in g/ml? 7. 7 7. 7278 7. 73 0. 1.

Answers

Explanation:

so, we need to do the division :

27.82 g / 3.6 ml = 7.727777778... g/ml

so, 7.7278 is the rounded correct answer.

Which are points on the graph of y = 1. 5 + ⌈x⌉? select three options.

Answers

Answer:

1.3 ( 8>7)

Explanation:

Which of the following situations can best be used to illustrate the meaning of prosperity? a. Manuel has lots of friends, a loyal dog, a well-paying job, and savings in the bank. B. Toshiko likes mashed potatoes, crisp apples, dark chocolate, and peaches. C. Caleb skis down the mountain every day to get to his job in the village. D. Janna designs costumes for all the musicals and plays at school.

Answers

Answer: A because he successful and that's what prosperity means.

Manuel has lots of friends, a loyal dog, a well-paying job, and savings in the bank can best be used to illustrate the meaning of prosperity. Thus, option A is correct.

What is prosperity?

The blossoming, prospering, luck, and great social status are all characteristics of prosperity. Pleasure and happiness are two other variables that can be abundantly affluent in all proportions and are frequently produced by prosperity.

As Manuel help lots of friends as well as the dog. And paying job and savings post office suggest that he is having prosperity. Having all the good things in their life and living at that point of time with a backup plan is termed as prosperity that the person is having.

Therefore, option A is the correct option.

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A local supermarket organised two weeks of promotions to boost sales. The average daily sales before the campaign is $10 000, which becomes $11 000 during the promotion (average over 2 weeks). Which analysis below is not useful for evaluating whether the increase in sales is statistically significant?.

Answers

The analysis that is not useful for evaluating whether the increases in sales are statistically significant is to monitor sales for a longer period of time.

Statistical analysis helps to use different methods to properly collect data, and therefore future predictions and solutions. This is important to achieve organizational goals.

From the complete information, analysis that is not useful for evaluating whether the increases in sales are statistically significant is to monitor sales for a longer period of time.

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Which statement best describes a theme of the text? the government is always the highest law of the land. Religious law is above or greater than man's law. The laws of the government are sometimes correct and sometimes incorrect. One must be willing to accept punishment for breaking laws.

Answers

A theme simply means the main idea or the underlying meaning that a writer explores in a novel or literary work.

Your information is incomplete as you didn't provide the text. Therefore, an overview of a theme will be given. A theme is the central topic, subject, or message that's within a narrative.

The theme of a story can be conveyed by using the characters, dialogue, plot, settings, etc that's in the story. For the reader to understand the theme, it's important for one to understand what the story is about.

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The chemical equation below shows the combustion of methane (ch4). Ch4 + 2o2 right arrow. Co2 + 2h2o the molar mass of oxygen gas (o2) is 32. 00 g/mol. The molar mass of carbon dioxide (co2) is 44. 01 g/mol. What mass of co2, in grams, will form when 8. 94 g o2 completely react?.

Answers

Taking into account the reaction stoichiometry, 6.15 grams of CO₂ are formed when 8.94 grams of O₂ reacts completely.

In first place, the balanced reaction is:

CH₄ + 2 O₂  → CO₂ + 2 H₂O

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

CH₄: 1 mole O₂: 2 moles CO₂: 1 mole H₂O: 2 moles

The molar mass of the compounds is:  

CH₄: 16.04 g/mole O₂: 32 g/moleCO₂: 44.01 g/moleH₂O: 18 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

CH₄: 1 mole× 16.04 g/mole= 16.04 gramsO₂: 2 moles× 32 g/mole= 64 gramsCO₂: 1 mole× 44.01 g/mole= 44.01 gramsH₂O: 2 moles× 18 g/mole= 36 grams

Then the following rule of three can be applied: if by reaction stoichiometry 64 grams of O₂ form 44.01 grams of CO₂, 8.94 grams of O₂ form how much mass of CO₂?

[tex]mass of CO_{2} =\frac{8.94 grams of O_{2} x44.01 grams of CO_{2} }{64 grams of O_{2}}[/tex]

mass of CO₂= 6.15 grams

Finally, 6.15 grams of CO₂ are formed when 8.94 grams of O₂ reacts completely.

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Ms. Sanchez’s students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. Number of hours playing sports 5 5 3 0 6 2 2 4 5 2 3 4 3 0 1 4 0 4 3 6 what is the mean of the sample in the third row? 2. 2 2. 8 3. 0 3. 4.

Answers

The mean of a dataset is the average of the dataset.

The mean of the sample in the third row is 2.2

The dataset is given as:

5 5 3 0 6 2 2 4 5 2 3 4 3 0 1 4 0 4 3 6

From the complete question, the samples in the third row are:

Sample: 3 4 3 0 1

The mean of a dataset is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Where:

n = 5 i.e. the number of samples

So, we have:

[tex]\bar x = \frac{3 + 4 + 3 + 0 + 1}{5}[/tex]

Add the expressions in the numerator

[tex]\bar x = \frac{11}{5}[/tex]

Divide 11 by 5

[tex]\bar x = 2.2[/tex]

Hence, the mean of the sample in the third row is 2.2

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A binary number is to be transformed by appending three 0s to the end of the number. For example, 11101 is transformed to 11101000. Which of the following correctly describes the relationship between the transformed number and the original number?.

Answers

Numbers can be converted from one base to another base. a. The transformed number is 8 times the value of the original number.

Given that:

Three 0s are appended to a binary digit to get a new binary digit.

Using the given values, the transformation can be illustrated as follows:

Where:

represents the three appended 0s.

In binary  represents 8 in decimal.

So, the above illustration can be expressed as:

This means that the new or transformed number is 8 times the original number.

It is a process where genes are inserted into the genome of a different organism.

Answers

Answer:

Recombinant DNA technology

Explanation:

Recombinant DNA (rDNA) is a technology that uses enzymes to cut and paste together DNA sequences of interest. The recombined DNA sequences can be placed into vehicles called vectors that ferry the DNA into a suitable host cell where it can be copied or expressed.

In sentence 6 (reproduced below), the writer is considering deleting the underlined text. However, strong evidence indicates that this event did not inspire the poem and that the author was in fact sarah josepha hale, not roulstone. Should the writer keep or delete the underlined text?.

Answers

Based on the information given, the correct option will be C. Keep it, because it previews the way the rest of the passage will support the thesis about Hale's authorship with evidence.

From the question, it was stated that one should show what the author should do with the underlined text.

The underlined text is important as it gives a preview of the passage. It's also used as supporting evidence to the claim of Hale.

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