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.

Answers

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

Which of these practices describe how producers in oligopolies.

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Answer:

Collusion and Competition

A compound is broken down by chemical means during.

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Answer:

"broken apart in chemical reactions called decomposition reactions"

Explanation:

So, Compounds can be broken apart in chemical reactions called decomposition reactions. For example, water can be broken down into the diatomic elements hydrogen gas and oxygen gas in a chemical reaction called electrolysis. ... Some compounds undergo thermal decomposition when they are heated

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

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it leads to flooding and drought in different areas.

Who is cleopatra in the caesars commercial with the mannings.

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The cleopatra in the caesars commercial with the mannings is Halle Maria Berry.

Halle Maria Berry can be described as an influential actress as well as a producer. She was was known as one of the American's Miss USA pageant .

In the caesars commercial, the cleopatra is Halle Maria Berry because according to Archie, who said i met Caesar and Cleopatra at Miami, he was referred to Halle Maria.

We can conclude that Halle Maria Berry  serves as cleopatra in the caesars commercial with the mannings.

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A reaction was found to be zero order in a. Increasing the concentration of a by a factor of 3 will cause the reaction rate to.

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Answer:

Where is the choices

Explanation:

please send it in comment section

Two scientists want to compare their research of fireflies. Which information must the two scientists provide to each other to determine if they studied the same type of fireflies?.

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Answer:

the species name of firefly studied

AAHHHH so guilty........................... comment/ answer

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Hmmmmmmmmmmmmmmmmmmm

Which presidential campaign slogan best demonstrates an unwarranted extrapolation?.

Answers

"Vote Yourself a Farm and Horses" - Abraham Lincoln, 1860

Based on this excerpt, it can be inferred that the war provides the author with his first flying experience. The author once felt pride and optimism about the war. The us soldiers are trained in hand-to-hand combat. The author has a begrudging respect for the vietcong.

Answers

Based on this excerpt, it can be inferred that: B) the author once felt pride and optimism about the war.

The excerpt is about a young soldier who was excited about entering the U.S military helicopter with the South Vietnamese battalion. He stressed his pride and excitement at being a part of this mission.

He also believed that they will be triumphant in the battle and eventually make their country a better place. So, option B is correct.

Here is the excerpt:

Read this excerpt from "Not a Dove, But No Longer a Hawk."

I remember distinctly the thrill of climbing aboard a U.S. Army helicopter in the cool of the morning and taking off across the rice fields with a South Vietnamese battalion for a day’s jousting with the Vietcong guerillas. I was proud of the young American pilots sitting at the controls in the cockpit and I was grateful for the opportunity to witness this adventure and to report it. We are fighting now, I used to think, and some day we will triumph and this will be a better country.

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Answer:

b

Explanation:

A 0. 2 kg rubber ball is dropped from the window of a building.

Answers

Answer:

200grams rubber ball is dropped from the window of a building

Which summary of the passage is the best? brutus wants caesar to die. Even though brutus has no personal reason for killing caesar, brutus decides that, for the good of the people, caesar must be killed. If caesar were crowned, it may change his personality, and the power may cause him to become dangerous. Brutus compares caesar to a snake. The snake comes out in the sunshine. People must be very careful when walking around the cunning snake. Crown caesar and i agree that we may be giving him the power to sting us.

Answers

The best summary will be "Crown caesar and I agree that we may be giving him the power to sting us".

A summary is defined as the main idea of a passage. It tells the reader the idea of a whole text before reading the passage.

A summary is important to students so that they can easily discern the irrelevant statements in a text and help them focus on the main idea.

Based on the given passage, the best summary will be "Crown caesar and I agree that we may be giving him the power to sting us".

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Answer:

its B

Explanation:

The chart shows shared characteristics of three different species. Which organisms are most closely related? species a and b species a and c species b and c species c and d.

Answers

Answer:

B and C are the correct ones.

Answer:

b and c

Explanation:

Per company policy tools with a purchase price greater than 1000 are capitalized.

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The correct entry to record a tool purchase of $500 is Debt tools expense $500, Credit cash $500

From the complete question, the purchase price is said to be greater than $1000

The above can be recorded using the entries:

Debt tools Credit cash.

For each entry, the amount is half the tool purchase (i.e. $1000).

Hence, the correct entry is Debt tools expense $500, Credit cash $500

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In nature during a 24 hour period green plants continuously use.

Answers

Answer:

Carbon Dioxide, or CO2

Explanation:

Plants need to breathe, otherwise they won't survive

Humans' intake oxygen and exhale CO2

However, plants intake CO2 and exhale oxygen

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:

The seasonal product team needs a vendor who can quickly adjust to changes in product demand. The planning team has sent over a table comparing how the four available vendors have been performing. Can you identify which vendor to recommend?.

Answers

There are different kinds of vendors. The best that I can identify and recommend is Vendor V in the diagram attached.

The seasonal product team should consider taking or using Vendor V. This is because of their performance. When you look at the diagram, you will see that their performance is better in all parameter given in the table (Diagram attached).

Vendor V is in all parameters improving the performance of all the  four elements and it can easily adjust to any seasonal changes.

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Place the events that form hurricane-force winds in order.

Answers

Answer: The events that form hurricane-force winds are as follows

1. Tropical disturbance

2. Tropical depression

3. Tropical storm

4. Hurricane.

Explanation:

All of the above-mentioned events happen in chronological order for the hurricane-force winds to occur.

1. Tropical disturbance occurs from the tropics and the subtropics. These are generally 100-300 miles in diameter. It is a tropical weather system of organized conventions. This is the first stage that consists of a loosely organized low-pressure area.

2. Tropical depression is a more organized deep convention and has a closed circulation of sustained winds of less than 39 mph.

3. Tropical storm is the third stage that has sustained winds between 39 - 73 mph.

4. The hurricane is created when the sustained winds finally reach or cross the speed of 74 mph.

This is how hurricane-force winds are created.

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what is SAT in full and what is its criterion as far as academics are concerned​

Answers

Answer:

Explanation:

For 75 percent of college student-athletes, they will have no issue meeting the academic minimums laid out by the NCAA. That said, just because you are a good student doesn’t mean you can assume you will meet the academic eligibility rules. Every year, student-athletes with 3.5+ GPAs and honors courses are declared academically ineligible due to not meeting one of the following NCAA eligibility requirements

Jordan has a jar of quarters. When he has 60 quarters in the jar, the jar weighs 52 ounces. When there are 125 quarters in the jar, the jar weighs 65 ounces. What is the weight of the empty jar? 39 ounces 40 ounces 44 ounces 60 ounces.

Answers

Answer:

40

Explanation:

X=quarters

Y=weight if empty jar

Y+125X=65

Y+60X=52

subracting the equations you get

65X=13/65=1/5

Y+25=65

Y=40

Answer:

40

Explanation:

just took the test and got a hundred :)

Amylase is an enzyme that converts carbohydrate polymers into monomers. Glycogen synthase is one of the enzymes involved in converting carbohydrate monomers into polymers. Which of the following best explains the reactions of these enzymes?.

Answers

Amylase break covalent bonds whereas glycogen synthase form covalent bonds.

Amylase is an enzyme that aids in the addition of a water molecule to break covalent bonds thereby converting carbohydrate polymers into monomers whereas glycogen synthase aids in the removal of a water molecule to form covalent bonds converting carbohydrate monomers into polymers.

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A hot air balloon exerts a force of 1200 newtons while lifting a load of 800 newtons. Which free-body force diagram depicts the forces involved?.

Answers

Answer:

the force is called electrostatic force

If cell a3 contains the text the death of chivalry what will the function.

Answers

Based on the information given, The function =PROPER(A3) will be The Death Of Chivalry.

It should be noted that in excel, the "PROPER" function is a function that is used in converting the first character to upper case and the rest converted to lower case.

Since we are told that the cell A3 contains the text '' the death of chivalry'' , the "PROPER" function in excel means that each of the first letters of each word will be in upper case.

 

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Which disease is caused by a buildup of plaque in blood vessels brainly.

Answers

Coronary artery disease is caused by plaque buildup in the wall of the arteries that supply blood to the heart (called coronary arteries). Plaque is made up of cholesterol deposits. Plaque buildup causes the inside of the arteries to narrow over time. This process is called atherosclerosis.

Please select the word from the list that best fits the definition the biological capability to bear children.

Answers

Answer:

Edge says Fecundity

Explanation:

Fecundity is the biological capacity of an organism to conceive a child - in conjunction with another organism. For this to occur it is necessary that the man and the woman be fertile, that is, they have fertility. A person's fertility is measured by the number of ovules / seeds that can be fertilized. After fertilization, the fetus grows in the gestational process and becomes a baby.

The correct word from the list that best fits the definition of the biological capability to bear children is fecundity. The correct option is E.

What is childbearing?

Women can theoretically become pregnant and give birth from puberty, when they begin having periods, to menopause, when they cease having them. The reproductive years of the average woman last from 12 to 51 years.

The biological ability of one organism to conceive a child in collaboration with another creature is known as fecundity. Both the man and the woman must be fertile, or have fertility, for this to happen.

The quantity of ovules or seeds that can be fertilized is used to determine a person's fertility. The fetus develops during the gestational period after conception to become a baby.

Therefore, the correct option is E. Fecundity.

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#SPJ5

The question is incomplete. Your most probably complete question is given below:

population

demography

birthrate

fertility

Fecundity

mortality

A mouse’s rate of carbon dioxide output increased. Which of the following most likely happened?.

Answers

Answer:

Umm, not to like to be annoying but what are the multi choice questions.

Explanation:

Write a function called has_duplicates that takes a string parameter and returns true if the string has any repeated characters. Otherwise, it should return false.

Answers

The function to solve the algorithm that is required to return Boolean (True of False) if the parameter contains duplicate character will be implemented using the Kotlin Programming Language.

// Here is the algorithm

fun has_duplicates (parameter: String) : Boolean{

for (i in parameter.size-1){

if(parameter[i]==parameter[i+1]){

return true

} else{

return false

}

}

}

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When o2 is released as a result of photosynthesis it is a direct by-product of.

Answers

Answer:

answer is water molecules

Explanation:

The oxygen evolved during photosynthesis comes from water molecules.

Answer:

The O2 released in photosynthesis comes from the H2O, not the CO2. This was proved by radioactive isotopes. I think this is what you are asking.

What is an equation of a parabola with the given vertex and focus (-2 5) (-2 6).

Answers

Equation of parabola is
4
y
=
x
2
+
4
x
+
24
Explanation:
As the vertex
(

2
,
5
)
and focus
(

2
,
6
)
share same abscissa i.e.

2
, parabola has axis of symmetry as
x
=

2
or
x
+
2
=
0
Hence, equation of parabola is of the type
(
y

k
)
=
a
(
x

h
)
2
, where
(
h
,
k
)
is vertex. Its focus then is
(
h
,
k
+
1
4
a
)
As vertex is given to be
(

2
,
5
)
, the equation of parabola is
y

5
=
a
(
x
+
2
)
2
as vertex is
(

2
,
5
)
and parabola passes through vertex.
and its focus is
(

2
,
5
+
1
4
a
)
Therefore
5
+
1
4
a
=
6
or
1
4
a
=
1
i.e.
a
=
1
4
and equation of parabola is
y

5
=
1
4
(
x
+
2
)
2
or
4
y

20
=
(
x
+
2
)
2
=
x
2
+
4
x
+
4
or
4
y
=
x
2
+
4
x
+
24
graph{4y=x^2+4x+24 [-11.91, 8.09, -0.56, 9.44]}

Heitor was exposed to a bomb blast and has a focal brain injury to the human analog of area mt. When presented with visual stimuli heitor would not show:.

Answers

Considering the situation described above, when presented with visual stimuli heitor would not show emotion or empathy.

What is the effect of Focal Brain Injury?

The effect of Focal brain injury has been found to cause damage to the frontal pole causing changes in the individual's behavior and emotions.

Generally, A focal brain injury in a person has been attributed to the inability to recognize other people's emotions or another person's feelings.

Hence, in this case, it is concluded that the correct answer is "heitor would not show emotion or empathy."

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A particle moves along the curve y = 4x2 + 1 in such a way that the x value is increasing at the rate of 2 units per second. At what rate is y changing when x = 1?.

Answers

By differentiating both sides of y = 4x² + 1 with respect to time t, we have

dy/dt = 8x dx/dt

If the x value changes at a rate of +2 units/second (that is, dx/dt = 2) at the moment x = 1, then the y value changes at a rate of

dy/dt = 8 • 1 • 2 units/s = 16 units/s

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