A section of a high speed test track is circular with a radius of curvature R = 1860 m.
At what angle of θ should the track be inclined so that a car traveling at 61.0 m/s (136 mph) would keep moving in a circle if there is oil on that section of the track, i.e., it would not slip sideways even with zero friction on that section. (Hint: The car's vertical acceleration is zero.)

A Section Of A High Speed Test Track Is Circular With A Radius Of Curvature R = 1860 M.At What Angle

Answers

Answer 1

Using Newton's second law, the car is experiencing a net force parallel to the banked curve such that

[tex]mg \sin(\theta) = \dfrac{mv^2}r \implies \sin(\theta) = \dfrac{v^2}{rg}[/tex]

where [tex]v[/tex] is the tangential speed of the car and [tex]r[/tex] is the radius of the curve. Solve for [tex]\theta[/tex] :

[tex]\sin(\theta) = \dfrac{\left(61.0\frac{\rm m}{\rm s}\right)^2}{(1860\,\mathrm m)g} \approx 0.204 \implies \theta = \sin^{-1}(0.204) \approx \boxed{11.8^\circ}[/tex]


Related Questions

How many total atoms are in 0.680 g of P₂O5?

Answers

Answer: 2.88×[tex]10^{24}[/tex]atoms [tex]P_{2}O_{5}[/tex]

Explanation: First, using stoichiometry, we must convert this from grams to moles, then from moles to atoms.

1. For the first step, we should also look at the periodic table to find the molar mass of the compound, then use that as the denominator.

[tex]0.680g P_{2} O_{5} *\frac{1molP_{2} O_{5} }{141.948gP_{2} O_{5} } =4.79mol P_{2} O_{5}[/tex]

2. Now that it is converted to moles, we must convert it to atoms by multiplying it by Avogadro's number.

[tex]4.79molP_{2} O_{5} *\frac{6.022X10^{23} }{1mol} =2.88*10^{24}[/tex]

With this information, we know that there are [tex]2.88X10^{24}[/tex] total atoms in 0.680 grams [tex]P_{2} O_{5}[/tex].

I hope this helps! Pls give brainliest!! :)

What’s the correct answer answer asap for brainlist

Answers

The equator runs through the middle of Africa!

Calculate the osmotic pressure of a 5% solution of glucose at 18°C.​

Answers

Answer:

6.97 atm is the osmotic pressure.

What is Lewis symbol for K+

Answers

Lewis symbol for K+ is given by a dot and K.

Meaning of Lewis symbol

Lewis symbols can be defined as a symbol the is used in describing the valence electron configurations of an atom ions.

A Lewis symbol consists of the symbol of the element and then surrounded by one dot for each of its valence electrons.

In conclusion, Lewis symbol for K+ is given by a dot and K.

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How many formula units are in 239.2g of
Br2
MgCl2
H2O
Fe

Answers

The formula units in the substances are as follows:

Br2 = 8.99 × 10^23 formula unitsMgCl2 = 1.51 × 10^24 formula unitsH2O = 2.57 × 10^24 formula unitsFe = 2.57 × 10^24 formula units

How many moles are in 239.2 g of the given substances?

The moles of the substances are determined from their molar mass.

Molar mass of the substances is given as follows:

Br2 = 160 g/molMgCl2 = 95 g/molH2O = 18 g/molFe = 56 g/mol

Formula units = mass/molar mass × 6.02 × 10^23

The formula units in the substances are as follows:

Br2 = 239.2/160 × 6.02 × 10^23 = 8.99 × 10^23 formula unitsMgCl2 = 239.2/95 × 6.02 × 10^23 = 1.51 × 10^24 formula unitsH2O = 239.2/18 × 6.02 × 10^23 = 2.57 × 10^24 formula unitsFe = 239.2/56 × 6.02 × 10^23 = 2.57 × 10^24 formula units

In conclusion, the number of formula units is derived from the moles and Avogadro number.

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Sulfuryl chloride, SO2Cl2(g), decomposes at high temperature to form SO2(g) and
Cl2(g). The rate constant at a certain temperature is 4.68 x 10-5s-1. What is the the order of the reaction?
A) zero
B) first
C) second
D) third
E) More information is needed to determine the order.

Answers

The rate constant is s-1 which is the unit of first order reaction rate constant thus the reaction is a first order reaction. Option B

What is the rate of reaction?

The term rate of reaction refers to how fast or slow a reaction proceeds a reaction could be;

First orderSecond order or Third order

We can know the order of reaction here by looking at the unit of the rate constant. The rate constant is s-1 which is the unit of first order reaction rate constant thus the reaction is a first order reaction.

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What is the definition of specific heat? O A. The heat required to break the molecular bonds within a substance B. The total amount of energy contained within 1 mole of a substance C. The heat needed to raise the temperature of 1 g of a substance 1°C D. The temperature change between the melting and boiling points of a substance N What is the definition of specific heat ? O A. The heat required to break the molecular bonds within a substance B. The total amount of energy contained within 1 mole of a substance C. The heat needed to raise the temperature of 1 g of a substance 1 ° C D. The temperature change between the melting and boiling points of a substance N​

Answers

Answer:

C

Explanation:

C .       specific heat =    J / gm-C

               

a student collects 0.36 mol of methane gas (CH4) at STP. Determine the following mass of the methane gas

Answers

5.7744 g is the mass of the methane gas.

What are moles?

A mole is defined as 6.02214076 × [tex]10^{23}[/tex] of some chemical unit, be it atoms, molecules, ions, or others. The mole is a convenient unit to use because of the great number of atoms, molecules, or others in any substance.

[tex]Moles = \frac{mass}{molar \;mass}[/tex]

[tex]0.36 mol = \frac{mass}{16.04 g/mol}[/tex]

Mass =5.7744 g

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what is the study of matter called

Answers

Chemistry is the science of studying matter.

116) If the juice from a lemon is mixed with 55% water the lemon juice is the A) solution B) solute C) solvent D) None of the above

117) If the juice from a lemon is mixed with 55% water the water is the A) solution B) solute C) solvent D) None of the above


118) Which of the following is NOT c onsidered a solution? A) Gasoline B) Coca-Cola C) Water

119) Which statement is true? D) Bleach A) All mixtures are solutions. B) All mixtures are acidic. C) All solutions are mixtures. D) All solutions are alkalizing

120) Which of the following is considered a solution? A) 14k gold ring C) Sand in the ocean B) Wood chips on the ground D) Rocks in water​

Answers

Answer:

Explanation:

d because a b and c is in correct

Which of the following has eight valence electrons?
o ti4+
CI
Na+
O Kr
O all of the above

Answers

it’s all of the above

Answer:

all of the above

Suppose 0.258g of lead(II) acetate is dissolved in 250.mL of a 13.0 m M aqueous solution of ammonium sulfate.

Calculate the final molarity of acetate anion in the solution. You can assume the volume of the solution doesn't change when the lead(II) acetate is dissolved in it.

Round your answer to 3 significant digits.

Answers

Molarity is the estimation of the solute concentration in the solution. The final molar concentration of the acetate anion in the solution is 0.006 M.

What is Molarity?

Molarity is the ratio of the moles to the volume in liters.

Given,

Mass of lead (II) acetate = 0.258 gm

Volume of solution = 0.25 L

Moles are calculated as:

Moles = mass ÷ molar mass

= 0.258 g ÷ 325.29 g/mol

= 0.00079

Molarity is calculated as:

M = moles ÷ volume

= 0.00079 ÷ 0.25

= 0.0032

The molar concentration of the acetate ions: 2 × 0.0032 = 0.0064 M

Therefore, the molarity of the acetate anion in the solution is 0.006 M.

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screen shot is attached , please help

Answers

Answer: 0.680 mol

Explanation:

From the coefficients of the equation, we know that for every 3 moles of carbon dioxide produced, 5 moles of oxygen gas are consumed.

So, the answer is (5/3)(0.408) = 0.680 mol (to 3 sf)

Do the ch3f molecules appear to attract each other much? briefly describe their interaction.

Answers

Neither attract much nor allows it be free.

How the molecules behave in such way?

Because fluorine has a higher electronegativity than carbon and hydrogen, CH3F possesses a non-zero dipole moment. As a result, fluorine draws a partial negative charge whereas other atoms (such as carbon or hydrogen) draw a partial positive charge, leading to a non-zero dipole moment in CH3F. Lewis' structure, CH3F, is made up of one carbon atom, three hydrogen atoms, and one fluorine atom. Carbon is the key atom in the CH3F lewis structure because it is the least electronegative. The CH3F lewis dot structure consists of 3 lone pairs and a total of 4 bound pairs.

Properties of CH3F

It molar mass is 34.03 g/mol.The density of CH3F is 1.4397 g/L and 0.557 g/cm³ at saturated pressure and temperature.The melting point of CH3F is -137.8ºC and the Boiling point is -78.4ºC.Its vapor pressure is 3.3 MPa.Its IUPAC name is Fluoromethane.

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What part of the scientific method involves controlling variables while testing a hypothesis? (2 points) Select one: a. Analyzing data b. Conducting an experiment c. Drawing a conclusion d. Making observations

Answers

Answer:

D

Explanation:

best choice, makes the most sense

In the scientific method, conducting an experiment involves designing and performing controlled experiments to test a hypothesis and the correct option is option B.

Scientists manipulate the independent variable while controlling other variables (dependent and controlled variables) to observe and measure the effect on the dependent variable.

By controlling variables, scientists can isolate the factors that influence the outcome, ensuring that any observed changes are a result of the manipulated variable and not other unrelated factors. This step allows for the collection of reliable data, which is essential for drawing meaningful conclusions based on the evidence gathered from the experiment.

Thus, the ideal selection is option B.

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Which is a true statement about an exterior angle of a triangle?
• A. It is formed by two segments that are not sides of the triangle.
B. It is formed by two segments that are sides of the triangle.
C. It forms a linear pair with one of the interior angles of the triangle.
D. It is complementary to one of the interior angles of the triangle.
SUBMIT

Answers

The only true statement about an exterior angle of a triangle from the above is that it forms a linear pair with one of the interior angles of the triangle.

What is a triangle?

A triangle can be defined as a one of the plane shapes which has three sides and three angles

So therefore, the only true statement about an exterior angle of a triangle from the above is that it forms a linear pair with one of the interior angles of the triangle.

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how do biotic components interact with abiotic components? explain with example.

Answers

Answer:

An ecosystem is defined by the interactions between the living and non-living things in any given area. Abiotic factors are the non-living components of an ecosystem. These include: air water, wind, soil, temperature, sunlight. One of the most critical interactions in an ecosystem between the biotic and abiotic environment is photosynthesis , the base chemical reaction that drives most life on earth. Plants and algae use sunlight, water and carbon dioxide to create the energy they need to grow and live via photosynthesis.

There are four main types of species interactions that occur between organisms in an ecosystem:

Predation , parasitism and herbivory – In these interactions, one organism benefits while the other is negatively affected.

* Competition – Both organisms are negatively affected in some way due to their interactions.

* Commensalism – One organism benefits while the other is neither harmed nor gains.

* Mutualism – Both organisms benefit from their interactions.

Plants with bird or butterfly pollinators are good examples of mutualistic interactions. Plants benefit by having their flowers pollinated so they can reproduce.

What will the cleaning sanitation and storage of food contact surfaces of equipment and utensils help prevent?

Answers

Proper cleaning and sanitizing practices are critical in preventing bacteria that can cause foodborne illness.

Benefits of sanitizing:

Eliminates Pathogens.

Sanitizing Improves Home Odor.

Reduces Respiratory issues.

Decreases Allergy Flare-Ups.

Easy to Use.

Reduces Stress.

Helps the Immune System.

When and how to clean surfaces in your home.

Important to clean and sanitize kitchen premises

Cleaning your kitchen premises and equipment ensures that clean food preparation is carried out in order to improve kitchen efficiency and reduce environmental impacts.

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I NEED HELP!!!
How much heat (kJ) is needed to raise the temperature of 100.0 grams of water from 290.0 K to 325.0 K?
(Specific Heat of Water = 4.18 J/g °C)
• 10450
• 146
• 14630
• 10.5
• 14.6

Answers

Answer:

Explanation:

Formula

Heat = m * c * delta t

t = temperature in centigrade.

The first thing you have to do is convert kelvin degrees to centigrade. The conversion factor is - 273. The formula is degrees centigrade = degrees kelvin - 273. It is easier to understand with a couple of examples.

290o K = 290 - 273 = 17325. K =   325 - 273 = 52

Solution

Heat = 100.0 grams * 4.18 J/g*C * (52 - 17)

Heat = 100 * 4.18 * 35

Heat = 14630 Joules

But you want kj

Heat = 14630 / 100 = 14.63

Answer

Heat = 14.6 kj

how many moles of pbcl2 are produced when 16 alcl3 are consumed

Answers

Using dimensional analysis and the mole ratios from the balanced equation, we can calculate moles of PbCl2 formed from 14 moles of AlCl3.

A 0.250 L solution is made with 1.60 g of glucose, in water at 25.00∘C. What is the osmotic pressure of the solution?
Use −273.15∘C for absolute zero.
Use R=0.08206 L atmmol K for the ideal gas constant

Answers

The osmotic pressure of the 0.250 L solution made with 1.60 g of glucose, in water at 25.00°C is 0.869atm.

How to calculate osmotic pressure?

The osmotic pressure of the solution can be calculated using the following expression:

PV = nRT

where;

P = pressureV = volumen = no of molesT = temperatureR = gas law constant

no of moles of glucose = 1.60g ÷ 180g/mol = 8.89 × 10-³mol

P × 0.250 = 0.00889 × 0.08206 × 298

0.25P = 0.217

P = 0.217/0.25

P = 0.869atm

Therefore, the osmotic pressure of the 0.250 L solution made with 1.60 g of glucose, in water at 25.00°C is 0.869atm.

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Oxygen decays to form nitrogen. 15 8 O → 15 7 N + 0 1 e This type of nuclear decay is called

Answers

The type of nuclear decay in which Oxygen decays to form nitrogen is beta plus decay.

What is a beta plus decay?

A beta plus decay is a type of decay in which a proton in an element disintegrates to produce a neutron resulting in a decrease in the atomic number of the radioactive element.

In the given equation below:

[tex]^{15}_{7}O \rightarrow ^{15}_{7}N + ^{0}_{1}e[/tex]

Oxygen decays to form nitrogen due to a decrease in atomic number.

This is an example of beta plus decay.

In conclusion, oxygen decays to form nitrogen beta plus decay.

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3.4x10^4=
In ordinary numbers

Answers

3.4x10^4 = 34000

3.4×104 = 3.4 ×10000 = 34×1000=34000

What is a ordinary number?

In linguistics, ordinal integers or ordinal digit words are terms representing place or rank in sequential ordering; the order may be of a size, significance, record, and so on (e.g., "third", "tertiary").

They vary from cardinal digits, which mean quantity (e.g., "three") and other kinds of numerals.

Thus, 34000 is the answer.

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If 3.66•10^23 molecules of a substance have a mass of 24.31g, what is the molar mass of the substance?

Answers

Answer is a I took the quiz

Answer:

Molar mass of substance = 40.0 g/mol

Explanation:

• First calculate the number of moles in 3.66 × 10²³ :

no. of moles = number of particles / Avogadro's Number

                     = (3.66 × 10²³)  /  (6.022 × 10²³)

                     = 0.6078 mol

• Now use the following equation to calculate the molar mass:

Molar mass = mass of substance / no. of moles

                   = 24.31 / 0.6078

                   = 40.0 g/mol

How much energy is needed to melt 230 g of ammonia (NH3)? (Heat of fusion is 5.66 kJ/mol)
Give your answer in units of kJ with correct significant figures.

Answers

Moles of ammonia

Given mass/Molar mass230/1713.5mol

1mol requires 5.66KJ energy

13.5mol requires

5.66(13.5)76.4KJ

Question 21
How many moles of O atoms are in 88 grams of CO₂?
2.8 moles
6.0 moles
1.00 moles
2.0 moles
4.0 moles

Answers

There are 2 moles of O stones present in 88 grams of CO2. Why? Well, we can find the amount of moles present in 88 grams of CO2 by dividing the mass by the molar mass. The mass of CO2 comes out to be 88 grams. The molar mass of CO2 comes out to be 44 grams. Because 88 is the mass of CO2 and 44 is the molar mass of CO2, we can divide 88 by 44 to identify that there are 2.0 moles of O atoms present in 88 grams of CO2.

Your final answer: There are 2.0 moles of O atoms present in 88 grams of CO2. Your final answer to this question is D, or 2.0 moles. If you need to better understand, let me know and I will gladly assist you.

If a balloon containing 0.342 moles of gas is left out in sun, the pressure is 1.54 atmospheres. If the temperature is 300 K, what is the volume of the balloon? Note R is 8.314 L kPa mol-1K-1 or 0.821 L atm mol-1K-1 .

Answers

Answer:

54.7 L

Explanation:

To find the volume, you need to use the Ideal Gas Law. The formula looks like this:

PV = nRT

In this formula,

-----> P = pressure (atm)

-----> V = volume (L)

-----> n = number of moles

-----> R = constant (0.821 L*atm/mol*K)

-----> T = temperature (K)

You need to use the second R constant because the pressure is measured in atmospheres (atm) and not kPa. Because you have the all of the necessary variables except for volume, you can substitute them into the Ideal Gas Law formula and solve.

P = 1.54 atm                       R = 0.821 L*atm/mol*K

V = ? L                                T = 300 K

n = 0.342 moles

PV = nRT

(1.54 atm)V = (0.342 moles)(0.821 L*atm/mol*K)(300 K)

(1.54 atm)V = 84.2346

V = 54.7 L

A rate constant obeys the Arrhenius equation, the factor A being 2.2  10^13 s-1 and the
activation energy being 150. kJ mol-1. What is the value of the rate constant at 227C, in
s-1?

Answers

4.743 x [tex]10^{-3}[/tex] s-1 is the value of the rate constant.

What is an Arrhenius equation?

The Arrhenius equation describes the relationship between the rate of reaction and temperature for many physical and chemical reactions.

As per Arrhenius equation,

k = Ae-Ea÷RT

T = 227 = 500.15 K

R = 0.008314 kJ/K mol

Ea = 150 kJ/mol

Ea÷RT

= 150÷(0.008314 x 500.15)

= 36.073

k = Ae-36.073 = (2.2 x [tex]10^{13}[/tex] s-1) (2.156 x [tex]10-{16}[/tex])

k = 4.743 x [tex]10^{-3}[/tex] s-1

So, the correct answer is option d) i.e. 4.7 x [tex]10^{-3}[/tex] s-1

As per Arrhenius equation,

k = Ae-Ea/RT

T = 227 = 500.15 K

R = 0.008314 kJ/K mol

Ea = 150 kJ/mol

Ea÷RT = 150÷(0.008314 x 500.15) = 36.073

k = Ae-36.073 = (2.2 x [tex]10^{13}[/tex] s-1)(2.156 x [tex]10^{-16}[/tex])

k = 4.743 x [tex]10^{-3}[/tex] s-1

Hence,  4.743 x [tex]10^{-3}[/tex] s-1 is the value of the rate constant.

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The company claims that the mineral supplement can effectively prevent the common cold.A scientist disputes the claim, saying and error exists in the setup of the groups for the investigation. Which change to the investigation would remove the source of this error?

Answers

A change to the investigation which would remove the source of this error is to test a fourth group in which the people do not receive the mineral supplements.

What is a Scientific method?

This is the experimental techniques employed in science and involves hypothesis, observations etc.


Removing an error in a scientific method involves repeated experiments and using a large sample which is why the fourth group should be taken into consideration.

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25g of gold with initially 27grade centigrade what is the final temperature uppon absorbing 2.3kj of heat

Answers

The final temperature of the mass of gold is  737 °C.

What is the specific heat capacity of gold?

The specific heat capacity of gold is 0.126 J/g/K

The final temperature, T2 of the gold is calculated as follows:

T2 = T + Q/mc

where;

T is initial temperature, m is mass, and c is specific heat capacity of gold.

T2 = 27 + 2.3 x 1000/(25 x 0.126)

T2 = 737 °C

Therefore, the mass and heat capacity of gold determines its final temperature.

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