A clown in a circus act swings a 2.7-kg metal ball attached to a 72.0-cm nylon string in a horizontal circle above her head, making one revolution in 0.98 s. What is the tension force, Ft, exerted on the string by the ball?​

Answers

Answer 1

Answer:

Tension, Ft = 79.91 N

Explanation:

The tension in the string is the resultant force that exists in the string due to the centripetal effect of the swinging ball.

From conservation laws, the tension in the string will be equals to the centripetal force acting on the string.

The tension in a string can be obtained using the formula:

[tex]T=mv^2/R[/tex]

where v = linear velocity of the metal ball which equals to the angular velocity of the ball X the radius of the ball.

The radius of the ball is given as 72 cm = 0.72m and the angular velocity = 1.02 rad/second.

Therefore, linear velocity, [tex]v = 2\pi \times 1.02\times 0.72 =4.616m/s[/tex]

The tension in the string will now be equals to [tex]2.7 \times 4.616^2 /0.72 =79.91N[/tex]


Related Questions

How far does a car travel in 30.0 s while its velocity is changing from 50.0 km/h to 80.0 km/h at a uniform rate of acceleration?

Answers

Answer:

The car will travel 541.67 m

Explanation:

Uniform Acceleration

When an object changes its velocity at the same rate, the acceleration is constant.

The relation between the initial and final speeds is:

[tex]v_f=v_o+a.t[/tex]

Where:

vf  = Final speed

vo = Initial speed

a   = Constant acceleration

t   = Elapsed time

The acceleration can be computed by solving for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

And the distance traveled is calculated as follows:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}[/tex]

The car travels during a time of t=30 s, and its speed changes from vo=50 Km/h to vf=80 Km/h.

Converting the speeds to m/s:

vo=50 Km/h * 1000/3600 = 13.89 m/s

vf=80 Km/h * 1000/3600 = 22.22 m/s

Both numbers are shown with a 2-decimal precision but they will be used with higher accuracy in further calculations.

Calculating the acceleration:

[tex]\displaystyle a=\frac{22.22-13.89}{30}[/tex]

[tex]a = 0.28\ m/s^2[/tex]

Now for the distance:

[tex]\displaystyle x=13.89*30+\frac{0.28.30^2}{2}[/tex]

[tex]x=416.67\ m+125\ m[/tex]

x = 541.67 m

The car will travel 541.67 m

a tiger moving with constant accleration covers the distance between two points 70 meter apart in 7 seconds . its speed as it pass the second point 15 meter per second . 1) what is the speed at the first point. 2) what us its accleration​

Answers

Answer:

a = 1.428 [m/s²]

v₀ = 5 [m/s]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]x=x_{o}+v_{o}*t+\frac{1}{2}*a*t^{2}[/tex]

where:

x = final point [m]

x₀ = initial point [m]

v₀ = initial velocity [m/s]

a = acceleration [m/s²]

t = time [s]

But we need to use this additional equation.

[tex]v_{f}=v_{o}+a*t[/tex]

where:

vf = final velocity = 15 [m/s]

Now we can use this equation, replacing it, in the first one. We must bear in mind that the difference among x - x₀ is equal to 70 [m]

[tex]x-x_{o}=v_{o}*t+\frac{1}{2}*a*t^{2} \\x-x_{o}=(v_{f}-a*t)*t+\frac{1}{2} *a*t^{2}\\70=(15-a*t)*t+\frac{1}{2}*a*t^{2}\\70=15*t-a*t^{2} +\frac{1}{2}*a*t^{2} \\70=15*t-\frac{1}{2}*a*t^{2}\\70=15*(7)-\frac{1}{2} *a*(7)^{2}\\105-70=0.5*a*49\\35=24.5*a\\a=1.428[m/s^{2} ][/tex]

Now replacing this value in the second equation, we can find the initial velocity.

[tex]15=v_{o}+1.428*7\\v_{o}=5[m/s][/tex]

What are the 2 types of crystallization ?

Answers

Answer:

evaporative crystallization

cooling crystallization from solution or the melt

Answer:

I think this may helps you

What element conducts heat and electricity:

Helium
Potassium
Sulfur
Copper
Arsenic

Answers

The answer is copper
Cooper is the answer question

Free fall differs from terminal velocity, in that during free fall

A.
only air resistance is acting on an object

B.
only gravity is acting on an object

C.
air resistance and gravity are acting on an object with unequal magnitudes

D.
air resistance and gravity are acting on an object with equal magnitudes

Answers

Answer:

B

Explanation:

Distance = 500 miles

Time = 10 hours

Average Speed = ?????

Answers

Average speed= 50mph

Pls help me!! Thank u sm

Answers

Answer:

D

Explanation:

Help pleasseeee URGENT
If a 0.16 kg 8-ball at rest is hit by the 0.17 kg cue ball that is moving at a speed of 2 m/s, what is the speed of the 8-ball if the cue ball is completely stopped after the collision?

Answers

Answer:

The speed of the 8-ball is 2.125 m/s after the collision.

Explanation:

Law Of Conservation Of Linear Momentum

The total momentum of a system of masses is conserved unless an external force is applied. The momentum of a body with mass m and velocity v is calculated as follows:

P=mv

If we have a system of masses, then the total momentum is the sum of all the individual momentums:

[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]

When a collision occurs, the velocities change to v' and the final momentum is:

[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]

In a system of two masses, the law of conservation of linear momentum is simplified to:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]

The m1=0.16 Kg 8-ball is initially at rest v1=0. It is hit by an m2=0.17 Kg cue ball that was moving at v2=2 m/s.

After the collision, the cue ball comes to rest v2'=0. It's required to find the final speed v1' after the collision.

The above equation is solved for v1':

[tex]\displaystyle v'_1=\frac{m_1v_1+m_2v_2-m_2v'_2}{m_1}[/tex]

[tex]\displaystyle v'_1=\frac{0.16*0+0.17*2-0.17*0}{0.16}[/tex]

[tex]\displaystyle v'_1=\frac{0.34}{0.16}[/tex]

[tex]v'_1=2.125\ m/s[/tex]

The speed of the 8-ball is 2.125 m/s after the collision.

n=Q/e formula of this?

Answers

Answer:

Its not just a mere formula . It tells a hell lot about charges .

q = ne . As you know , q stands for charge and e stands for charge on an electron . As for n , it represents an integer.

This whole q=ne thing represents quantisation of charge. The formula tells us that charge is quantized ( in the form of small packets)

Every body on this small earth has a charge which has to be an integral multiple of ‘e’ . So , we represent charge on a body(q) as

q=ne.

Hence the formula .

I hope you got what I want to say .

Thanks for reading .

Which statement illustrates how progress in engineering has affected the natural environment? (O A. Engineers continue to make design improvements to solar panels, making them ever more efficient in providing electricity. O B. The development of new solar panel technology drives the development of battery technology. O C. Engineers have developed solar energy technology that reduces the need for other sources of energy that can pollute the atmosphere. (® D. As solar energy technology continues to improve, it is becoming a more attractive source of energy than sources that use fossil fuels.

Answers

Explanation:

sorry but Oz is the option or anything else can clarify

Engineers have developed solar energy technology that reduces the need for other sources of energy that can pollute the atmosphere. So, option C.

What is meant by solar energy ?

Solar energy is defined as the solar radiation that has the potential to ignite chemical processes, produce heat, or generate electricity.

Here,

In order to protect wildlife, and ecosystems, it is imperative that greenhouse gas emissions are reduced and climate change is mitigated. Solar energy plays a significant part in this as a renewable source of energy.

Additionally, solar energy can reduce water use in energy production and enhance air quality.

An extremely crucial factor considering the scarcity of water is that solar energy does not produce waste or contaminate water. Wind energy is essential for preserving hydrological resources because it consumes among the least amounts of water compared to fossil fuels and nuclear power facilities.

Hence,

Engineers have developed solar energy technology that reduces the need for other sources of energy that can pollute the atmosphere. So, option C.

To learn more about solar energy, click:

https://brainly.com/question/9704099

#SPJ2

Hair sticking to a balloon after it
has been rubbed on a girl's head is
an example of

Answers

Answer:

Friction

Explanation:

Answer:

It causes electrostatic charging, which makes it stick to your hair,

A billiard ball bangs against a side bumper, giving the ball a speed of 5 m/s. If the
ball has a mass of 0.15 kg, what is the ball's kinetic energy in joules?

Answers

Answer:

1.875 joules

Explanation:

K.E=1/2 mv²

K.E=1/2 0.15×5²

K.E=1.875 joules

Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. Its mass is 20 grams, and its density is 7.87 g/cm3. What’s the larger cube’s volume? The larger cube’s volume is about cm3.

Answers

Answer:

5.08cm³

Explanation:

Given parameters

The larger cube has twice the mass of the smaller cube

Mass of smaller cube = 20g

Mass of the larger cube = 2 x 20  = 40g

Density of the smaller cube  = 7.87g/cm³

Unknown:

Volume of the larger cube = ?

Solution:

Density is the mass per unit volume of substance. For all samples of a substance, the density value is the same.

So, the density of the small and large iron is the same

   Density  = [tex]\frac{mass}{volume}[/tex]  

        Volume  = [tex]\frac{mass}{density}[/tex]  

 So;

  Volume of larger cube  = [tex]\frac{40}{7.87}[/tex]  = 5.08cm³

Answer:

5.08cm^3

Explanation:

What is a Cell?

Don't look it up PLEASE... I WILL GIVE BRAINLIEST

Answers

Answer:

well

Explanation:

A cell is the basic functional and structural unit of life

Answer:

Cells are the basic building blocks of all living things

Explanation:

What are the forces on a feather falling down gravity normal force friction push force pull force?

Answers

It would be gravity! Make sure you put commas so people understand the question! :)

HEY CAN ANYONE PLS ANSWER DIS I RLY NEED IT!!!

Answers

Answer:

-Covalent compounds are formed when two or more nonmetal atoms bond by sharing valence electrons.

-Ionic compounds are neutral compounds made up of positively charged ions called cations and negatively charged ions called anions.

-One similarity is both ionic and covalent bonding lead to the creation of stable molecules.

Hope this helps:)

An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 24 m per year at a time when the region is 300 m wide. How fast is the area changing at that point in time

Answers

Answer:

[tex]\frac{dA}{dt} = 28800 \ m^2/year[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Area of a Rectangle: A = lw

Algebra I

Exponential Property: [tex]w^n \cdot w^m = w^{n + m}[/tex]

Calculus

Derivatives

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Explanation:

Step 1: Define

Area is A = lw

2w = l

w = 300 m

[tex]\frac{dw}{dt} = 24 \ m/year[/tex]

Step 2: Rewrite Equation

Substitute in l:                    A = (2w)wMultiply:                              A = 2w²

Step 3: Differentiate

Differentiate the new area formula with respect to time.

Differentiate [Basic Power Rule]:                                                                   [tex]\frac{dA}{dt} = 2 \cdot 2w^{2-1}\frac{dw}{dt}[/tex]Simplify:                                                                                                           [tex]\frac{dA}{dt} = 4w\frac{dw}{dt}[/tex]

Step 4: Find Rate

Use defined variables

Substitute:                    [tex]\frac{dA}{dt} = 4(300 \ m)(24 \ m/year)[/tex]Multiply:                        [tex]\frac{dA}{dt} = (1200 \ m)(24 \ m/year)[/tex]Multiply:                        [tex]\frac{dA}{dt} = 28800 \ m^2/year[/tex]

Answer:

28,800 m²/yr

Explanation:

This rectangle has dimensions such that:

width = wlength = 2w  

We are given [tex]\displaystyle \frac{dw}{dt} = \frac{24 \ m}{yr}[/tex] and want to find [tex]\displaystyle \frac{dA}{dt} \Biggr | _{w \ = \ 300 \ m} = \ ?[/tex] when w = 300 m.

The area of a rectangle is denoted by Area = length * width.

Let's multiply the width and length (with respect to w) together to have an area equation in terms of w:

[tex]A=2w^2[/tex]

Differentiate this equation with respect to time t.  

[tex]\displaystyle \frac{dA}{dt} =4w \cdot \frac{dw}{dt}[/tex]

Let's plug known values into the equation:

[tex]\displaystyle \frac{dA}{dt} =4(300) \cdot (24)[/tex]

Simplify this equation.

[tex]\displaystyle \frac{dA}{dt} =1200 \cdot 24[/tex] [tex]\displaystyle \frac{dA}{dt} =28800[/tex]

The area is changing at a rate of 28,800 m²/yr at this point in time.

Which star is closest to our solar system (after the Sun)?

Answers

Alpha Centauri A

The two main stars are Alpha Centauri A and Alpha Centauri B, which form a binary pair. They are an average of 4.3 light-years from Earth. The third star is Proxima Centauri. It is about 4.22 light-years from Earth and is the closest star other than the sun

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

Answer:

The answer is A

In the data table , distance is measured in meters and time is in seconds. Calculate the mans average velocity using the equation (average velocity= total distance/total time.

Answers

Answer:

3.626 m/s

Explanation:

v=d/t

1. -0.02/0 = 0 m/s

2. 0.86/0.2 = 4.3 m/s

3. 1.71/0.4 = 4.275 m/s

4. 2.54/0.6 = 4.23 m/s

5. 3.32/0.8 = 4.15 m/s

6. 4.08/1.0 = 4.08 m/s

7. 4.79/1.2 = 3.99 m/s

8. 5.48/1.4 = 3.91 m/s

9. 6.15/1.6 = 3.84 m/s

10. 6.76/1.8 = 3.76 m/s

11. 7.37/2.0 = 3.66 m/s

12. 7.92/2.2 = 3.6 m/s

13. 8.45/2.4 = 3.52 m/s

14. 8.96/2.6 = 3.45 m/s

the mean of these numbers is 3.626

his average velocity ks 3.626 m/s

Cart A and B are connected by a compressed spring. Cart A has a mass of 0.8 kg and Cart B has a mass of 3.00
kg. When the spring is released, Cart B moves to the right at a speed of 4 m/s. Find the speed of Cart A.
A W
B

Answers

Answer:

?????????????????????????

Scientists are studying a moving glacier. To monitor the flow of the glacier, they place a series of five markers, A, B, C, D, and E, in a straight line across the path of flow. A and E are closest to the edges of the glacier. C is in the center of the glacier. B and D are between A and C and C and E respectively. How would the scientists predict the motion of each of the markers relative to the edges of the valley down which the glacier flows? What pattern would they predict in the markers over time?

Answers

Answer: c a d b

Explanation:

Glaciologists use Glen–Nye Flow Law, to predict the movements of glaciers thus, The pattern they predict in the markers over time would be C D A B.

How would the scientists predict the moving glacier of the markers relative to the edges of the valley down which the glacier flows?

In some parts of the world, glaciers are an important natural resource because the nature and behaviour of glaciers are an impact the hydrologic, geologic, and ecological systems of their immediate location.

Due to this, Glaciologists monitor and try to predict the movement and morphology of glaciers.

One of the techniques used by "Glaciologists" in the monitoring and prediction of glaciers in the use of markers.

The movement of markers is measured relative to the edges of the valley down which the glacier flows.

Thus, The movement of the markers are then predicted using the GlenNye Flow Law.

The pattern they predict in the markers over time would be C D A B.

Learn more about the glacier here;

https://brainly.com/question/17743729

#SPJ2

What is the mass of an object moving with 80N of force and an acceleration of 8 m/s2?

Answers

Answer:

10 Kg

Explanation:

Force is equal to mass times acceleration

therefore mass is equal to force divided by acceleration

please mark me brainliest

1. João tem um tempo de reação de 0,2 s, pedala a bicicleta com velocidade de 5 m/s. Ele se depara com uma situação de emergência e aciona os freios. Qual foi a distância percorrida antes de frear? Tempo = 0,2s Velocidade = 5m/s = ou = ⋅

Answers

Responda:

1 metro

Explicação:

Dado que :

Tempo de reação = 0,2 segundos

Velocidade de deslocamento = 5 m / s

A distância percorrida antes da frenagem pode ser obtida usando a relação:

Distância = velocidade de viagem * tempo de reação

Distância percorrida antes da frenagem = (5 m / s) * (0,2s)

Distância percorrida antes da frenagem = 1 metro

The type of charge on an object depends on what? Material of object quality of object force of rubbing thickness of object please tell

Answers

Explanation:

Type of charge on an object depends upon the material of the object. However, most of the material are electrically neutral. Since, they have equal number of positive and negative charges on them. So, they act as if they have no charge at all.

Hence, option A is correct.

An object is placed 5 cm away from a lens of magnification 3.2.

How far away from the lens is the image formed?

Answers

Answer:

16 cm

Explanation:

Magnification (M)= v/u

where V = image distance from lens

u = object distance from lens

Given that the object is 5 cm away from the lens

The magnification of the lens is 3.2

image distance from lens (v) = magnification * object distance = 3.2 * 5 =16cm

Hot air balloon ( look at pic)

Answers

Answer:

I think that the answer is convection.

Explanation:

Hope this helps.

a fire woman dropped a person onto the safety net. right before the person hit the net he had a velocity of 11.2m/s and 1800j of kinetic energy

Answers

Answer: 28.699

Explanation:

KE=1/2(mv²)

1800=1/2m (125.44)

14.349=2m

m=28.699

Answer:

28.699

Explanation:

Explain the significance of the thermometer, the electric heater, and the power supply.

Answers

Answer:

This question appear incomplete

Explanation:

This question appear incomplete. However, the significance/functions of the "instruments" mentioned (in the completed question) can be predicted since these "instruments" generally have specialized function.

A thermometer is used to determine the temperature of a substance or an object. The electric heater uses electricity to produce heat (which can be utilized for different purposes). The power supply is used to supply electricity for instruments/appliances that may require electricity to function.

I WILL GIVE YOU BRAINLIEST!!
Which physical quantity does not change when a piece of copper is heated?

Answers

Answer:

Resistance, resistivity and drift velocity varies with relaxation time which is dependent on temperature.

Number of free electrons in a conductor remains invariant even if its temperature changes.Hence correct option is option D.

A feather is falling towards the ground at a constant speed. Of the forces listed, identify which act upon the feather.

Answers

Answer:

Gravitational force

Explanation:

Gravitational force is what is making the feather go down. It's pushing the feather down, without the Gravitational force, the feather would have been going up, and not down. Just like us. Gravitational force is what keeps us humans from floating ( unless ur an alien jklol), So yeah Gravitational force is the force that acts upon the feather to fall towards the ground at a constant speed.

Btw, u never listed the forces here just ....

Hope this helped!

A feather is falling towards the ground at a constant speed. Forces act upon the feather is gravitational force.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

When body is falling the net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity  

A feather is falling towards the ground at a constant speed. Forces act upon the feather is gravitational force.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

Other Questions
Jayson can make 4/5 of a 5 layers cake in 15 minutes. At this rate, how many cakes can Jayson make in 1 hour? You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y. Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1?O (1,1)O (1.4)0 (4,1)O (4,4) One sunny day, you were walking on the sidewalk when you found a lost puppy. Write a paragraph of (7-8) sentences telling:How you felt when you saw that lost puppyWhat you did to find its owner.how you felt when you returned it an Iraq, Syria, Egypt, and Turkey are all countries that __________ between 1919 and 1927. A. dominated the Middle East B. developed democratic government systems C. fought against European countries for independence D. adapted Western business strategies to become competitive in world trade In the section, paragraphs 137-145, Scrooge notices two small children hiding behind the Spirit's robe. What are the names of these children and who are they? HELP ME PLZDetermine the measure of each numbered angle.3652.34.405206 Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many quarters does Veronica have? Which value could replace x in the table?O 30-gtgO 3(30 -9)O 30-g(3)O 30-g+3Pls help ;( PLEASE URGENT1. I____ (FIND) A SUITABLE BIRTHDAY PRESENT FOR EMILY ___ (ALREADY/YET)2. I___ (FINISH) A NEW POEM. WOULD YOU LIKE TO BE THE FIRST PERSON TO HEAR IT___? (JUST/YET)3. EILEEN____(SEE) THE NEW JAMES BOND FILM___(ALREADY /YET)4. ___ROSA___ (LOOK) AT A TRAVEL GUIDE FOR SPAIN___? (ALREADY/YET)5. MUM___(PAY) FOR THE THEATRE TICKETS.IGAVE HER THE MONEY BACK LAST WEEK ___(ALREADY/JUST)6.WE ___(NOT/MEET) ANY OF THE OTHER GUESTS____. WE ONLY ARRIVED AT THE PARTY TWO MINUTES AGO. (JUST/YET) PLS HELP, I CANT AFFORD TO FAIL:(. I WILL GIVE BRAINLIEST How did feudalistic Japan and Europe differ? What were the similarities? Be sure to include information comparing the European knights and the Japanese samurai ( pls in ur own words ) PLZ ANSWER IF YOU KNOW what did the united states believe to be the southern boundary of the new state of texas According to Dr. Temple Grandin, which of the following most causes abuse and neglect in animal operations?ignorance of animals stress responsefear of animals aggression under stressapathy toward the complex needs of animalsexpense of providing a non-neglectful environment How did Monsoons affect the civilizations of the Indian subcontinent 0-You did not listen to me. in passive voice Help ASAP ......begdhzhshs Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest Express z 1 = 17 [ cos ( ) + i sin ( ) ] z 1 =17[cos()+isin()]z, start subscript, 1, end subscript, equals, 17, open bracket, cosine, left parenthesis, pi, right parenthesis, plus, i, sine, left parenthesis, pi, right parenthesis, close bracket in rectangular form. Express your answer in exact terms. Which type of law would apply to a dispute between a customer and their cable TV provider?contractpersonal injurypropertyfamily famous battle of 1526 took place Here