if you whirl a yo-yo about your head in a horizontal circle, in what direction must a force act on the yo-yo? what exerts the force?

Answers

Answer 1

On the off chance that you spin the yo-yo head in an even circle, you should apply force toward the circle's middle. This force is known as the centripetal force.

The centripetal force continually pulls the yo-yo towards the center of the circle, keeping it moving in a round movement.

The power that conveys the centripetal force to the yo-yo is the pressure in the string.

The string, which pulls the yo toward the circle's middle, gives the centripetal force important to keep up with movement. The string is focused on because of the heaviness of the yo-yo and the speed at which it turns.

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Related Questions

Module 3 Discussion!
After reading Ch.12 and 13 of the text (The essentials of Finance and Accounting for nonfinancial managers/ Third Edition) on Strategy and Financial Forecasting, watching the SWOT video based on Paley’s Products from the Ratio Analysis in Module 2 and the additional narrative information in Appendix C, Phase
Create a SWOT analysis that will reflect the TOWS analysis as described in Ch. 12 of the text. The purpose of the SWOT analysis is to lay out several issues and possibilities to be considered in Paley’s strategic planning. The strengths and weaknesses are internal issues, whereas the opportunities and threats are external.
The second part of the analysis is to create actions based on the SWOTs. This is sometimes called a TOWS analysis and is done by comparing the boxes, two at a time:
Offensive actions come from strengths that link to opportunities, so a specific strength can be applied to exploit an opportunity.
Adjusting actions come from addressing weaknesses, which then can be used to exploit opportunities that previously had not been possible.
Turnaround actions come from weaknesses that link to threats. These are high-risk issues where a priority needs to be given to addressing the weakness to minimize the vulnerability.
Defensive actions come from threats that link to strengths. These are latent issues because if the threat materializes, an already-existing strength is available to counter it.
Additional actions can be included to address other issues not directly identified in the SWOTs.
3. From the actions identified in part 2, pick 3-5 strategic actions that you feel Paley must achieve or at least start in the upcoming year and state your reasons for including them.
Attach your completed SWOT form and list of strategic actions with supporting logic and facts from the case as your answer for this discussion question. These actions are the foundation for the strategic plan

Answers

SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-

They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.

Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.

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Which of these forms of radiation passes most easily through the disk of the milky way?.

Answers

The milky way disk is the structure through which infrared radiation travels most readily.

What do infrared rays serve for?

There are several applications for infrared radiation, including thermal imaging, remote controls, fiber optic cabling, infrared astronomy, even meteorology. The greenhouse effect is caused in part by the fact because water vapor or other greenhouse gases absorb infrared light.

What types of things emit infrared radiation?

Definition of infrared radiation It is a type of radiant energy that we perceive as heat but which is invisible to the human eye (sometimes referred to as infrared light). Two of the most notable examples of infrared radiation are the sun and fire.

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what term identifies how many colors can be displayed on a screen?

Answers

The smallest component of a digital picture or graphic that can be shown on a digital display device is a pixel.

Thus, The fundamental logical unit in digital graphics is the pixel. A whole image, movie, piece of text, or other visible object on a computer monitor is made up of pixels.

The terms "pixel" and "picture element" both refer to the same thing. A dot or square on a computer monitor's display screen serves as the representation of a pixel. Geometric coordinates are used to construct the fundamental building pieces of a digital image or display, known as pixels.

The amount, size, and color mix of pixels varies and is measured in terms of the display depending on the graphics card and display monitor.

Thus, The smallest component of a digital picture or graphic that can be shown on a digital display device is a pixel.

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What would happen to the pressure as the volume approaches zero?.

Answers

Very accurate measurements over a wide range of pressure have been made for large number of real gases.

The product of P cross product with V is not constant for any gases.

The real gases the dependence shows the deviation in partial pressures of individual gas molecules and azeotropes.

The curves extrapolated with compressibility factor with the constant product for some gases if pressures are very low.

\(\alpha =\frac{Pv}{RT}\\ \\\alpha =\left \{ {{1 - ideal} \atop {\neq 1-real}} \right.\)

From Charles law the volume approaching to zero means pressure attaining infinite value. The compressibility factor is an index of deviation from ideality.

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how does 1 horsepower compare to 1 watt power​

Answers

Answer:

they both use power how much it has

Explanation:

i think

Answer:

1 horsepower is a unit of power equal to 746 watts 1 watt is a unit of power equal to 1 joule per second.

Explanation: Working on it for homework right now and using my textbook

The equation of a transverse wave travelling along a string is given by y=0.2sinπ(0.125x− 25t ), where y and x are in centimeters and t is in seconds. (a) Find the amplitude, wavelength, wave number, period and velocity of the wave. (b) Find the maximum transverse speed of any particle in the string.

Answers

(a) The amplitude of the wave is 0.2 cm. The wavelength is 8 cm, the wave number is 0.125 rad/cm, the period is 0.04 s, and the velocity of the wave is 2 cm/s.

(b) The maximum transverse speed of any particle in the string is 5 cm/s.

(a) The equation of the transverse wave is given by y = 0.2 sin(π(0.125x - 25t)).

Amplitude (A): The amplitude of the wave is the maximum displacement of the particles from their equilibrium position. In this case, the amplitude is 0.2 cm.

Wavelength (λ): The wavelength is the distance between two consecutive points in the wave that are in phase. From the given equation, we can see that the coefficient of x inside the sine function is 0.125, which corresponds to 2π/0.125 = π/0.0625 = 8 cm. Therefore, the wavelength is 8 cm.

Wave Number (k): The wave number is the spatial frequency of the wave, defined as 2π divided by the wavelength. In this case, the wave number is 0.125 rad/cm.

Period (T): The period of the wave is the time taken for one complete cycle. In this case, the coefficient of t inside the sine function is 25, which corresponds to a period of 2π/25 ≈ 0.04 s.

Velocity (v): The velocity of the wave is the product of the wave number and the angular frequency. Since the angular frequency is given by 2π divided by the period, the velocity can be calculated as v = k/T = (0.125 rad/cm) / (0.04 s) = 2 cm/s.

(b) The maximum transverse speed of any particle in the string is equal to the maximum value of the derivative of the displacement function with respect to time.

Taking the derivative of y with respect to t, we get dy/dt = 0.2π(0.125x - 25)cos(π(0.125x - 25t)). The maximum value of the cosine function is 1, so the maximum transverse speed is given by |0.2π(0.125x - 25)| = 5 cm/s.

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A 30-g car rolls from a hill 12 cm high and is traveling at 154 cm/s as it travels along a 275 cm horizontal track. What is the momentum of the car?.

Answers

The momentum of the car, given the data d from the question is 0.0462 Kg.m/s

What is momentum?

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

With the above formula, we can determine the momentum of the car. Details below

How to determine the momentum of the car

The momentum of the car can be on rained as follow:

Mass of car = 30 g = 30 / 1000 = 0.03 KgVelocity of car = 154 cm/s = 154 / 100 = 1.54 m/sMomentum of car = ?

Momentum = mass × velocity

Momentum of car = 0.03 × 1.54

Momentum of car = 0.0462 Kg.m/s

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15. Aluminum weighs .09 lbs. per cu. in. What is the weight of a sheet of aluminum 36"
long, 24" wide, and thick?.

Answers

The weight of a sheet of aluminum that is 36" long, 24" wide, and thick would be 7.776 lbs.

Weight determination

We need to first find the volume of the aluminum sheet in cubic inches, and then use its density to calculate its weight.

The volume of the aluminum sheet can be calculated as:

V = l x w x h = 36 in x 24 in x 0.1 in = 86.4 cubic inches

where l is the length, w is the width, and h is the thickness of the sheet.

The density of aluminum is 0.090 lb/in^3, as given in the problem.

Therefore, the weight of the aluminum sheet can be calculated as:

W = V x density = 86.4 cubic inches x 0.090 lb/in^3 = 7.776 lbs

Therefore, the weight of the aluminum sheet is 7.776 lbs.

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what must be true if energy is to be transferred as heat between two bodies in physical contact?

Answers

For energy to be transferred as heat between two bodies in physical contact, the bodies must be at different temperatures.

When two bodies are in physical contact, energy is transferred from the body at a higher temperature to the body at a lower temperature. This transfer of energy occurs through the mechanism of heat, which is the flow of thermal energy due to a temperature difference.

The rate of heat transfer depends on the temperature difference between the two bodies and the thermal conductivity of the materials they are made of. Heat always flows from hotter to colder regions until thermal equilibrium is reached, where both bodies reach the same temperature and there is no further net transfer of heat energy.

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Which source of energy is used in a nuclear power station to generate electrical energy

Answers

Steam is produced when the cooling agent is heated by nuclear fusion. Turbines, or wheels turned by a flowing current, are rotated by the steam. The generators, which are engines that produce power, are driven by the turbines. Above process is followed in a nuclear power station to generate electrical energy.

Electrical energy is the energy that emerges from the kinetic or potential energy of charged particles. It is referred to be energy that has undergone transformation from overall electric potential energy.

Electrical energy can be described as the result of electrons travelling between two points. The movement of charged particles along or through a medium is known as electricity or current (like a wire).

The basic unit of electrical energy is the joule, also referred to as a watt-second. One joule of electrical energy is produced when one amp of current flows through a circuit for one second while a potential difference of one volt is applied across it.

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is Babe Ruth?
And can you give me 3-5 sentences about her

Answers

1. Ruth first gained fame as a pitcher.

Although best remembered for swatting a prodigious 714 home runs and slugging .690, which remains a major-league record, Ruth was one of baseball’s most dominant left-handed pitchers in the 1910s. He won 89 games in six seasons with the Boston Red Sox, including 24 in 1917, and helped the team win three World Series titles. Ruth only pitched five games for the New York Yankees as his position switched to outfielder after being sold by Boston before the 1920 season.

2. He did not retire as a New York Yankee.

Ruth’s major-league career not only started in Boston, it ended there as well, but not with the Red Sox. Discarded by the Yankees as his performance waned, Ruth signed with the National League’s Boston Braves in 1935 in the hopes of becoming the team’s manager the following season. When it became clear that his skills had deteriorated and the promise would not be kept, Ruth ended his 22-year career after just 28 games in a Braves uniform.

3. Ruth was not a unanimous choice for the Baseball Hall of Fame.

A year after his retirement, Ruth was among the five initial inductees elected to the new National Baseball Hall of Fame under construction in Cooperstown, New York. In spite of Ruth’s amazing career statistics, 11 of the 226 voters left him off their ballots, and the “Sultan of Swat” trailed Ty Cobb as the leading vote-getter. Ruth’s plaque in Cooperstown refers to him as baseball’s “greatest drawing card,” and proving the point, the Hall of Fame last month opened a new exhibit on Ruth to coincide with the centennial of his first big-league season.

Explanation:

Answer:

He began his career as a pitcher: Ruth was both a left-handed pitcher and left-handed batter.

His father died in a fight with a family member

Ruth played for the Boston Red Sox (1914-1919), the New York Yankees (1920-1934) and briefly the Boston Braves (1935).

Explanation:

also babe ruth is a guy-

URGENT PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST !!!

URGENT PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST !!!

Answers

visible light colors

Answer:

Option 2

Visible light and colors

Explanation:

Visible light has a wavelength of 380 to 740 nanometers which can be seen

by the eyes and the visible light spectrum comprises of :

Red

Orange

Yellow

Green

Blue

Indigo

Violet

U 2 can help me by marking as brainliest.......

What is the phase of the moon during a total solar eclipse?

Answers

Answer:

The moon should be in the New phase.

Explanation:

Three liquids are at temperatures of 13 ◦C, 19◦C, and 33◦C, respectively. Equal masses of the first two liquids are mixed, and the equilibrium temperature is 16◦C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 28.9 ◦C. Find the equilibrium temperature when equal masses of the first and third are mixed. Answer in units of ◦C

Answers

The equilibrium temperature when equal masses of the first and third liquids are mixed is 22.8◦C.

To solve this problem, we need to use the principle of heat transfer and the fact that the total amount of heat in the system is conserved.
When equal masses of the first two liquids are mixed, the total heat in the system is the sum of the heat of the first liquid and the heat of the second liquid. Let's assume the specific heat capacity of the liquids is the same and equal to C. Then, we can write:
(m1 + m2)C(16 - (m1-m2)/2) = m1C(13 - (m1-m2)/2) + m2C(19 - (m1-m2)/2)
where m1 and m2 are the masses of the first two liquids. Solving for m1-m2, we get:
m1 - m2 = 12
Using the same approach, we can find that when equal masses of the second and third liquids are mixed, we have:
m2 - m3 = 10
Now, to find the equilibrium temperature when equal masses of the first and third liquids are mixed, we can use the same equation as before, but with m1 = m3:
2m1C(T - 16) = m1C(13 - 3m1/2) + m3C(33 - 3m1/2)
Simplifying and solving for T, we get:
T = 22.8◦C
Therefore, the equilibrium temperature when equal masses of the first and third liquids are mixed is 22.8◦C.

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Internal energy of a diatomic gas consists of:
OA. kinetic energy due to vibration and rotation.
B. kinetic energy due to translation, vibration, and rotation.
C. potential energy due to intermolecular forces.
D. kinetic energy due to translation only.

Answers

Answer:

C) Potential energy due to intermolecular forces.

The second is a flexible _________.

Answers

Answer:

static stretching

Explanation:

hope this helped ^^

A perfect bouncy ball would continue bouncing the same height forever. But in reality, the ball stops bouncing because energy is "lost" to ...

A.sound energy
B.compression of the ball
C.heat energy absorbed by the ball
D.all answers are true

Answers

Answer:

D. all answers are true

The ball stops bouncing because energy is to sound energy, compression of the ball, and heat energy absorbed by the ball. Thus, the correct option is D, i.e. all of the above.

How energy is lost in a physical state?

The law of conservation of energy, it states that energy can neither be created nor be destroyed in any physical state, although it may get transformed into another form.

The same principle is followed by the bouncing ball. In a closed system, its energy is never lost but it may get transformed into sound energy, heat energy which is absorbed by the ball, and compression which stimulates the process of bouncing the ball.

It is a principle of physical science that due to some characteristics the energy may be transformed into other form.

Therefore, the correct option is D, i.e. all of the above.

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How long does it take a 100 kg rocket to increase speed from 10
m/s to 200 m/s with a force of 250N?

Answers

Answer:

76 seconds

Explanation:

Using the formula t=vf-vo/a, where t=time, vf= final velocity, v0= initial velocity, and a= acceleration, we can solve for your problem.

Plug in known variables...

t=200-10/a

we can solve for a by using the formula F=ma where f=force, m= mass, and a=acceleration and rearranging it to solve for a.

a=F/m

Plug in known variables...

a=250N/100kg

a=2.5m/s^2

Plug in our newly found acceleration of 2.5 m/s^2 into our first equation and solve....

t=190/2.5

t=76 seconds

Solve the given system by the substitution method. If there is no solution or an infinite number of s 3x+5y=0 x-3y=0

Answers

Therefore, the solution to the given system of equations is x = 0 and y = 0.

In this case, the system has a unique solution, which is the point (0, 0).

To solve the given system of equations using the substitution method, we'll solve one equation for one variable and substitute it into the other equation.

Let's start with the second equation: x - 3y = 0.

Solving this equation for x, we get:

x = 3y.

Now, substitute this expression for x in the first equation:

3x + 5y = 0

3(3y) + 5y = 0

9y + 5y = 0

14y = 0

y = 0.

Now that we have found the value of y, we can substitute it back into the equation x = 3y:

x = 3(0)

x = 0.

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A student walks 350 m [S], then 400 m [E20°N], and finally 550 m [N10°W]. Using the component method, find the resultant (total) displacement). Round your answer to the appropriate significant figures. Round your angle to the nearest degree.

Answers

In component form, the displacement vectors become

• 350 m [S]   ==>   (0, -350) m

• 400 m [E 20° N]   ==>   (400 cos(20°), 400 sin(20°)) m

(which I interpret to mean 20° north of east]

• 550 m [N 10° W]   ==>   (550 cos(100°), 550 sin(100°)) m

Then the student's total displacement is the sum of these:

(0 + 400 cos(20°) + 550 cos(100°), -350 + 400 sin(20°) + 550 sin(100°)) m

≈ (280.371, 328.452) m

which leaves the student a distance of about 431.8 m from their starting point in a direction of around arctan(328.452/280.371) ≈ 50° from the horizontal, i.e. approximately 431.8 m [E 50° N].

For the circuit shown in the figure, the current in the 8 resistor is 0.50 A, and all quantities are accurate to 2 significant figures. What is the current in the 2 resistor?

For the circuit shown in the figure, the current in the 8 resistor is 0.50 A, and all quantities are

Answers

The current through the 2Ω resistor is 9.5A

The terminal voltage is 10.8 V

How to calculate

a) The voltage V across 8 Ω resistor is V = I*R = 8*0.5 = 4V

the current through 16Ω resistor is then I = V/R = 4/16 = 0.25 A

the current through 20Ω resistor is then I = current through 8Ω resistor + current through 16Ω resistor = 0.75 A

voltage across 20Ω is V = I*R = 0.75*20 = 15 V

the source voltage is Vs = V8 + V20 = 4+15 = 19 V

therefore the current through 2Ω resistor is

I = V/R = 19/2 = 9.5 A

b) The terminal voltage is

Vterminal = VR = I*R = 0.450*24 = 10.8 V

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slope or velocit ime graph represent
2. What is instantaneous acceleration?
3. What is unit vector?​

Answers

Answer:

Please check the explanation.

Explanation:

The slope of the velocity-time graph illustrates the change in velocity with respect to change in time.

In other words, the acceleration of the object is defined by the slope of a velocity graph. The acceleration can be obtained by finding the slope at a particular time.

Hence, the slope of the velocity time graph represent represents acceleration.

2. Also the acceleration of any object, like a car or bike, at some discrete instant in time 't' is termed as instantaneous acceleration which can be determined if we may take the derivate of the given velocity function.

3. A vector that has a direction and magnitude of 1 is termed as a unit vector, often called a direction vector.

Two models of the same compound are shown. In what way is Model A better than Model B?
Model A shows the types of elements in the compound, but Model B does not.
Model A shows the total number of atoms in the molecule, but Model B does not.
Model A shows the three-dimensional shape of the molecule, but Model B does not.
Model A shows the number of atoms of each element in the molecule, but Model B does not.

Two models of the same compound are shown. In what way is Model A better than Model B? Model A shows

Answers

The correct answer is Model A shows the three-dimensional shape of the molecule, but Model B does not.

Explanation:

Model A and B show the structure of a molecule. In the case of model A, the structure is represented through the use of three-dimensional shapes, while in model B the structure is represented using the letters of each element and showing how each element is connected to others.

In this context, one feature that makes model A better is that this represents the molecule using a 3D model, which is better to understand how the molecule looks like and what is its structure. Moreover, both models are alike because they show the number of atoms of each element, although model A does not show the types of elements.

Answer:

C- model a shows the three demensiobal shape of the molecule but model b does not

Explanation:

just did the quiz

Explain how it is that you could have 2 parents with brown eyes, but you have blue eyes. Talk about the role chromosomes, genotypes, and alleles play in making something like that happen.

Help please will give b to the best one!

Answers

Answer:

Because the two genes depend on each other, it is possible for someone to actually be a carrier of a dominant trait like brown eyes.  And if two blue eyed parents are carriers, then they can have a brown eyed child.  Genetics is much bkj

Explanation:

So all you light eyed parents with dark eyed kids, stop asking those paternity questions (unless you have other reasons to be suspicious).  Darker eyed kids are a real possibility that can now be explained with real genes.  

Can you guys please like my spotify playlist

Can you guys please like my spotify playlist

Answers

Answer:

sure

Explanation:

Answer:

uhm ok

Explanation:

How does the amount of a relationship between a ball’s height above the ground ( 0m, 1m, 2m, 3m, 4m 5m ) affect the gravitational potential energy (J).

Answers

Answer:

They are linearly proportional, i.e. the higher the ball is, the more potential energy it has.

Explanation:

The formula for gravitational potential energy is PE=mgh where m is mass of the object, h is height above the ground and g is the constant of gravitational acceleration (9.81 m=s²). So, if we increase the heigth, the potential energy also increases.

On a compact disc (CD), music is coded in a pattern of tiny pits arranged in a track that spirals outward toward the rim of the disc. As the disc spins inside a CD player, the track is scanned at a constant linear speed of v= 1.25 m/s. Because the radius of the track varies as it spirals outward, the angular speed of the disc must change as the CD is played. Let's see what angular acceleration is required to keep v constant. The equation of a spiral is r (0) = ro +30, where ro is the radius of the spiral at 0 = 0 and 3 is a constant. On a CD, ro is the inner radius of the spiral track. If we take the rotation direction of the CD to be positive, ß must be positive so that increases as the disc turns and increases. On a CD, the inner radius of the track is 25.0 mm, the track radius increases by 1.55 μm per revolution, and the playing time is 74.0 min. Find the value of ro- Express your answer in millimeters.

Answers

To find the value of ro, the inner radius of the spiral track on the CD, we need to use the given information and equations provided.

Let's convert this to millimeters, as the units of ro are in millimeters:

1.55 μm = 1.55 × 10^(-3) mm

To calculate the angular acceleration, we'll differentiate the equation of the spiral with respect to time:

dr/dθ = d(ro + 30)/dθ

=> 0 = d(ro)/dθ

Since the angular speed (dθ/dt) is constant, the derivative of ro with respect to time (d(ro)/dt) must be zero.

Given that ro is the inner radius of the track, we can express ro in terms of θ and then differentiate with respect to time:

=> ro = 25.0 mm + 30

ro = 55.0 mm

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Animals and plants in a food web are on each other for survival. A. dependent B. suspending OC. superintendent D. interdependent​

Answers

A. dependent

This is the answer

ACTIVITY 4
Applying the equation learned, answer the following problems:

1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?

Given:

Find:

Formula:

Solution:

2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?

Given:

Find:

Formula:

Solution:

3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?

Given:

Find:

Formula:

Solution:​

Subject Is Science

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ACTIVITY 4Applying the equation learned, answer the following problems: 1. A bowling ball whose mass

Answers

Answer:

1)  10 kg-m/s

2)  2 kg

3)  20 m/s

Explanation:

The momentum of an object can be calculated using the equation:

\(\large\boxed{p=mv}\)

where:

p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).

\(\hrulefill\)

Question 1

For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.

Given values:

m = 4.0 kgv = 2.5 m/s

Substitute the given values into the momentum formula and solve for p:

\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)

\(p=10\;\text{kg m/s}\)

Therefore, the momentum of the bowling ball is 10 kg-m/s.

\(\hrulefill\)

Question 2

For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.

Given values:

p = 6.0 kg-m/sv = 3.0 m/s

As we want to find mass, rearrange the momentum formula to isolate m:

\(\large\boxed{m=\dfrac{p}{v}}\)

Substitute the given values into the formula and solve for m:

\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)

\(m=2\;\text{kg}\)

Therefore, the mass of the skateboard is 2 kg.

\(\hrulefill\)

Question 3

For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.

Given values:

p = 10 kg-m/sm = 0.5 kg

As we want to find velocity, rearrange the momentum formula to isolate v:

\(\large\boxed{v=\dfrac{p}{m}}\)

Substitute the given values into the formula and solve for v:

\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)

\(v=20\;\text{m/s}\)

Therefore, the velocity of the baseball is 20 m/s.

find the slope of the graph of the equation at the given point. (if an answer is undefined, enter undefined.) xy − 9y2 = 4, (20, 2)

Answers

The slope of the graph of the equation at the point (20, 2) is 1/8.

To find the slope of the graph of the equation at the given point (20, 2), we need to find the derivative of the equation with respect to x and evaluate it at x = 20. Let's differentiate the equation implicitly:

xy - 9y^2 = 4

To differentiate implicitly, we treat y as a function of x and apply the chain rule. Differentiating both sides of the equation with respect to x:

1 * y + x * dy/dx - 9 * 2y * dy/dx = 0

Simplifying this equation:

y + x * dy/dx - 18y * dy/dx = 0

Grouping the terms with dy/dx:

dy/dx * (x - 18y) = -y

Now, let's solve for dy/dx by dividing both sides by (x - 18y):

dy/dx = -y / (x - 18y)

Substituting the given point (20, 2) into the equation:

dy/dx = -2 / (20 - 18(2))

         = -2 / (20 - 36)

         = -2 / (-16)

         = 1/8

Learn more about the slope of the graph at https://brainly.com/question/29225888

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