A race car moves along a circular track at a speed of 0.512 m/s. If the car's centripetal acceleration is 15.4 m/s2, what is the distance between the car and the center of the track?

Answers

Answer 1

Answer:

The radius is  [tex]r = 0.0170 \ m[/tex]  

Explanation:

From the question we are told that

      The speed at which the race car moves is [tex]v = 0.512 \ m/s[/tex]

       The centripetal acceleration is  [tex]a _r = 15.4 \ m/s[/tex]

Generally the centripetal acceleration is mathematically represented as

           [tex]a_r = \frac{v^2 }{r}[/tex]

=>        [tex]15.4 = \frac{0.512^2 }{ r}[/tex]

=>       [tex]r = 0.0170 \ m[/tex]  

 


Related Questions

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

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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

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

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.

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:

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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:)

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

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,

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;

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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

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:

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.

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]

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:

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

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.

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.

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.

Hot air balloon ( look at pic)

Answers

Answer:

I think that the answer is convection.

Explanation:

Hope this helps.

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! :)

The stars with medium temperatures appear ______________ in color (check all that apply.)

a. red
b. orange
c. yellow
d. blue

Answers

i think the answer is orange
orange is the awnser i think.

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:

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

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

Distance = 500 miles

Time = 10 hours

Average Speed = ?????

Answers

Average speed= 50mph

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 .

A graph showing the kinetic energy of a 10 kg object at different
speeds is provided:

Answers

Answer:

20 Joules

Explanation:

by seeing the Graph, we know that the graph will be curved. Then we can assume that the KE at speed 2 m/s is 20 Joules. But lets count it:

KE = ½ x m x v²

KE = ½ x 10 x 2²

KE = 5 x 4 = 20 Joules

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:

The speed of sound is 344 m/sec when the air is 20 degrees Celsius how far is the source of the sound if it takes 8 seconds for the sound to reach you?

Answers

Answer: 2752 m

Explanation:

344*8=

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:

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ESSAY QUESTION: Describe the voyage that enslaved African had to endure on their journey on the Middle Passage. HELP ME PLEASE !!!!!!!!!! Which of the following is a key part of american political culture?A. Belief in equality of resultsB. Belief in limiting opportunityC. Belief in individual libertyD. Belief in economic equality Which recursive definition produces an arithmetic sequence where g(5) = 8 and g(10) = 10? Steep-walled inlets, reaching like fingers of water from the sea into coastal mountains, are called . 90 decimeters = _______________ millimeters (-3f+9)-(2-6f) whats the answer On a certain hot summer's 439 day, people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1021.00 How many children and how many adults swam at the public pool that day? When the U.S. government needed 10,000 rifles for the army, Eli Whitney applied for the contract. He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. What did he demonstrate Which equation can be used in system of equations to solve for the unknown? CHECK ALL THAT APPLY1) A=22) -6A+B=23) 3A-B+C=14) B=05) 9A-3B+C=1 1 + 1 = ? I am a Collage Student and i have ZERO idea what this is. Bertha deposited $1000 into a retirement account when she was 18. How much will Bertha have in this account after 50 years at a yearly simple interest rate of 7.5%? Rethinking Youth Sports to Prevent Kids' Head Injuries by Representative Betty McCollum find the multiplicative inverse of 7 in mod 9 2./10To rationalize the denominator of311you should multiply the expression by which fraction? If c=g-4f, find trinomial that represents C when F=2x^2-5 and G=5x^2+x-3 A. Polytheism is the belief in one god, while animism is the belief in many gods.B. Polytheism is the belief that objects in nature have spirits, while animism is the belief in many gods.C. Polytheism is the belief in one god, while animism is the belief that objects in nature have spirits.D. Polytheism is the belief in many gods, while animism is the belief that objects in nature have spirits. Which was an important part of the Treaty of Paris 1783 that ended the American Revolution? Please post detailed answers to the following questions. Please use complete sentences.You may have noticed that honesty and ethics are important in finance and business careers. Why is this so important? Which sentence is written correctly?O Malea enjoys running, swimming, and to dance.O Malea enjoys running, swimming, and dancing.O Malea enjoys to run, to swim, and dance.O Malea enjoys to run, swim, and to dance.