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

A group of campers walked at a speed of 4. 5 mph from their campsite to a rest area. Their return trip to the campsite took 15 minutes longer because their speed was only 4 mph. What is the distance between the campsite and the rest area?.

Answers

The distance between the campsite and the rest area is 9 miles.

The given parameters:

Initial speed of the campers, u = 4.5 mphFinal speed of the campers, v = 4 mph

Let the time of motion from the campsite to rest area = t (hours)

Time for return trip = t hours +  15 mins

                               = (t + 0.25) hours

Let the distance between the campsite and rest area = d

d = 4.5t

d = 4(t + 0.25)

4.5t = 4(t + 0.25)

4.5t = 4t + 1

4.5t - 4t = 1

0.5t = 1

t = 2 hours

The distance between the campsite and the rest area is calculated as follows;

d = 4.5t

d = 4.5 x 2

d = 9 miles

Thus, the distance between the campsite and the rest area is 9 miles.

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

population

demography

birthrate

fertility

Fecundity

mortality

if I give you points and you give me no points how many points do you have?

Answers

Then the person you gave points to would have however many you gave them. You would subtract from what you have and add that amount to the other person's, you'd need to add context for this question to actually get help

Explanation: You would have no points and I would have however many points you gave me.

Which of the following about a contour line is false?.

Answers

The statement from the given options that is false about contour lines is;

Option B; Contour lines can cross.

The missing options are;

A. Contour lines form a "V" that points upstream.

B. Contour lines can cross.

C. Contour lines connect points of equal elevation.

D. Concentric contour lines may indicate a hill.

To answer the question, we need to first understand what contour lines are.

Contour lines are lines that are used on topographic maps to show elevations, landform shapes, and slope stiffness. It can also be used to show population density and average income.

An example of a contour lines are Isotherms which means lines of equal temperature.

Now, contour lines do not cross each other but instead will form a v-shape.

Looking at the options, the only one that doesn't apply to contour lines is Option B

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Which of the following is not a type of association.

Answers

Answer:

please be more specific with your question it has a picture

In the photoelectric effect a photon with an energy of 5. 3.

Answers

In the photoelectric effect a photon with an energy of 5.3

Boyle’s law states that if the temperature of an ideal gas is held constant, then the pressure p of the gas and its volume v satisfy the relationship p=kv, where k is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the pressure and the rate of change, with respect to time t, of the volume?.

Answers

The best answer that describes the relationship between the rate of change with respect to time of the pressure and the rate of change with respect to time t of the volume is; dP/dt = (-k/V²)(dV/dt)

We are given;

p = k/v

Thus if we cross multiply, we will get;

PV = k

Where;

P is pressure

V is volume

k is a constant

Using the product rule of differentiation on both sides with respect to time t gives;

V(dP/dt) + P(dV/dt) = 0

This is because k is a constant.

Putting k/v for P gives;

V(dP/dt) + (k/V)(dV/dt) = 0

>> V(dP/dt) = - (k/V)(dV/dt)

Divide both sides by V by division property of equality to get;

dP/dt = (-k/V²)(dV/dt)

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What is the approximate length of arc s on the circle below? use 3. 14 for pi. Round your answer to the nearest tenth.

Answers

Well it is near to 3 than to 4

Which of the following best describes how carbon cycles through earth's systems.

Answers

Answer:

The carbon cycle describes the process in which carbon atoms continually travel from the atmosphere to the Earth and then back into the atmosphere

The computer-related professional who writes codes for a wide range, from business software to games.

A)Software Tester

B)IT Manager

C)System Analyst

D)Computer Programmer

Answers

Answer: Im going to guess A

Explanation: I honestly don't know if its not correct please let me know eee

I had $3. 0. My mom gave $10. 0. My dad gave $30. 0. My aunt and uncle gave me $100. 0. I had another $7. 0. How much did i have?.

Answers

Answer:

$250 or $150

Explanation:

3 + 10 + 30 + 100 + 100 + 7 = $250

unless you meant your aunt and uncle didn't give you $100 each then it would be $150.

3 + 10 + 30 + 100 + 7 = $150

Which of the following variables would be appropriate for a bar graph?.

Answers

Answer: your not showing any variables

Explanation:

put a picture and then we can answer

The number of employees in a company decreased from 40 to 28. What is the percentage decrease in the number of employees?.

Answers

Answer:

Answer: 30% decrease

Explanation:

[tex] = { \rm{ \frac{(40 - 28)}{40} \times 100\%}} \\ \\ = { \rm{30\%}}[/tex]

The number of employees in a company decreased from 40 to 28

[tex]=\frac{(40-28)}{40} \times 100 \%$$=30 \%[/tex]

percentage decrease in the number of employees is 30 % .

What is a percentage?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage. Related Topics: mathematics percentile.

What is percentage and example?

One percent (1%) represents the one hundredth, 2 percent (2%) represents two hundredths, 100% represents the whole, 200% twice the given quantity and so on… For example - 1 percent of 1000 mangoes is equal to 1/100 of 1000 or 10 mangoes.

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What can you learn from the heading of a court case?.

Answers

Answer:

we learn from court case law is blind. alaways take way of law never do any criminal activities

Answer:

Which court decided the case

Explanation:

Which of the following is a key strategy for nutrition coaching?.

Answers

Answer:

Add-on sessions for individual nutrition coaching. It's time to become certified in nutrition if you already have fitness clients. …

Provide nutrition coaching for small groups. Nutritional coaching for small groups is similar to personal training. …

Organize a nutrition challenge. You will not only retain more coaching clients when you offer nutrition challenges, but they will also help your clients reach their goals.

Provide nutrition-only coaching. If you're a coach, you know there will always be people asking you questions about nutrition in the gym.

Engage in corporate group work. Coaching corporate groups is one area that coaches simply don't take advantage of enough.

I Hope This Helps You :)

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

Answers

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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The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is.

Answers

Answer:

The range for the following data is 83

Explanation:

To find the range of data given, you take the largest number and subtract the smallest number from it. (Biggest # - Smallest #)

91 is the biggest number.

8 is the smallest number.

91-8 = 83

83 is the range.

At midday, what is happening in the leaf of a plant?.

Answers

photosynthesis.
with the energy from the sun, the plant is growing more and more cells.

Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?.

Answers

If we read the complete exercise, we can understand that the correct answer is 9 students.

This is a math related exercise.

If we take into consideration that Sean is the 5th highest in the class, it means that there are four more people before him.

However, he is also the 5th lowest mark in the class, so it means that there are four more people below him.

If we also count Sean, there are:

9 students in the class.

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Read this excerpt from king arthur's socks: a comedy in one act. Guenevere: (unable to bear it) please, mary, please! what does the stage direction reveal about guenevere? she is not sympathetic to the plight of women who do not conform. She is too busy with her darning to be concerned with the help. She is upset with her servant’s romantic attitude. She is not ready to hear any more modernistic ideas.

Answers

Answer: D. She is not ready to hear any more modernistic ideas.

A ti 1 of 1 el auto anoche. (dañar, pretérito).

Answers

A ti se te dañó el auto anoche.

The verb "dañar" implies the production of damage to a certain or determinable thing or person.

Thus, the sentence refers to damage that happened to the car of the person to whom the sentence refers. In addition, this damage occurred in the past tense, that is, on the night before the sentence is pronounced.

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Shira wants to do well on her next test so her grade in the class does not fall. This is an example of which type of motivation?.

Answers

It is an example of intrinsic motivation.

Motivation can be described as the factors that drive a person to act in a certain manner. These factors can be material, cognitive, emotional or social. Motivation can lead to either positive or negative outcomes. For example, a person motivated to succeed would spend hours studying while a person whose aim is to make quick profit can be motivated to engage in crime.

Intrinsic motivation is a type of motivation in which the driving force to carry out an activity is due to internal factors. Shira's desire to do well is not externally motivated. It is due to her desire to succeed.

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Answer:

the answer is extrinsic

Explanation:

ED 2022

Which best describes the first law of thermodynamics as compared to the second law of thermodynamics?.

Answers

Answer:

The first law describes how thermal energy is conserved but not the direction it moves.

 

Thermodynamics is demonstrated as the branch of physics that deals with the associations or relationships between heat and other energy forms like mechanical, chemical, and electrical).

As per the question, the first law discusses that heat is a kind or form of energy and thus, processes associated with thermodynamics are subject to energy conservation principle. Therefore, heat energy can neither be destroyed nor created but rather transferred to one place to another and converted to and from other energy forms.

Thus, the first law of thermodynamics is distinct from the second law as 'the former describes how thermal energy can be conserved to and from other forms of energy and not the direction in which it moves' while the second law focuses on entropy.

Explanation:

A food worker takes three hours to reheat a pot of soup for a buffet to 165°f (74°c).

Answers

An action the food worker must take next is to throw the soup out.

Food preservation is an art that typically involves the process of preventing food spoilage by mitigating or reducing the activities (growth) of microbial organisms and other external factors while maintaining the nutritional value, flavor and texture of a food.

Some of the common factors that result in food spoilage include the following:

TemperatureOxidationMoisture contentPathogens (microorganisms) such as yeast, molds, bacteria, etc.

A soup is an example of a time/temperature control for safety (TCS) foods because they are more susceptible to the growth of pathogens (microorganisms) such as yeast, molds, bacteria, etc.

For TCS foods, it is important that they are cooled from 135 Fahrenheit (°F) to 70 Fahrenheit (°F) within two (2) hours, else, it must be thrown out. Since this food worker took three (3) hours to reheat the pot of soup to 165°F (74°C), he or she must throw the soup out because it has exceeded the minimum time required for TCS foods.

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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

Even at moderate temperatures, attractions between molecules seem to have little effect on the elasticity of gas-gas collisions because.

Answers

Attractions have little effect on the elasticity of gas-gas collisions because they are brief and fast. These particle collisions exhibit insufficient time to significantly affect the entire system.

The Kinetic Molecular Theory (KMT) is a model used in order to describe the behavior of gases by understanding the behavior of an ideal gas.

According to this theory, collisions between particles of gases are elastic, and therefore the kinetic energy is conserved when they collide.

An elastic collision can be defined as a type of collision between two particles in which the total kinetic energy remains the same.

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Get a flashlight and switch it on what do you observe about the beam it emits.

Answers

it converges the light in to one point

It converges the light in to one point.

What is Flashlight?

A portable hand-held electric lighting is known as a flashlight (US, CA), torch (UK), or torch (AU).

The light source used to commonly be a tiny incandescent light bulb, but since the mid-2000s, light-emitting diodes (LEDs) have taken their place. The common components of a flashlight are a light source mounted in a reflector, a clear cover (often paired with a lens) to shield the light source and reflector, a battery, and a switch, all of which are housed in a case.

Around 1899, the development of dry cells and tiny incandescent electric lamps made the first battery-operated flashlights feasible. Today's flashlights run on disposable or rechargeable batteries and typically use light-emitting diodes.

Therefore, It converges the light in to one point.

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Two congruent squares are shown in figures 1 and 2 below.

Answers

The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2. The area of the unshaded square in Figure 1 can be represented by . The combined area of the two unshaded squares in Figure 2 can be represented by . The areas of the squares in Figure 1 and Figure 2 show that .
Given :
Figure 1 and figure 2 are given.
The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2.
The area of the unshaded square in Figure 1 can be represented by .
The combined area of the two unshaded squares in Figure 2 can be represented by .
The areas of the squares in Figure 1 and Figure 2 show that .

Is this statement true or false?Gas giants all have a cold atmosphere and a hot core.

Answers

False if I remember correctly

Which of the following types of receptors are located in the mouth?.

Answers

Answer:

A taste receptor is a type of cellular receptor which facilitates the sensation of taste. When food or other substances enter the mouth, molecules interact with saliva and are bound to taste receptors in the oral cavity and other locations.

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