900 mL of water is added to 100 mL of a 0.1 M solution. What is the new concentration?
0.1M
0.001M
0.0001M
0.01M

Answers

Answer 1

Answer:

The new concentration of the solution is;

0.01 M

Explanation:

The question relates to concentration of solution and proportion of mixtures

The given parameters are;

The volume of water added to the 0.1 M solution = 900 mL

The initial volume of the solution to which water was added = 100 mL

Therefore, the total final volume of the solution = 100 mL + 900 mL = 1000 mL = 1 L

The concentration of the solution = 0.1 M

The number of moles present in the solution, 'n', is given as follows;

n = 100 mL/(1000 mL) × 0.1 M = 0.01 moles

Given that no more concentrated solution was added, we have;

The number of moles in the 100 mL solution   = The number of moles in the 1,000 mL solution

Therefore, the number of moles in the 1,000 mL (1 L) solution = 0.01 moles

Therefore;

The new concentration of the 1,000 mL (1 L) solution = 0.01 moles/(1,000 mL) = 0.01 moles/(1 L) = 0.01 M (By definition of the molarity of a solution)

The new concentration of the 1,000 mL (1 L) solution = 0.01 M.

Answer 2

D. 0.01 M

Given:

The volume of water added to the 0.1 M solution = 900 mL

The initial volume of the solution to which water was added = 100 mL

So,

The total final volume of the solution = 100 mL + 900 mL = 1000 mL = 1 L

The concentration of the solution = 0.1 M

Firstly we need to find the number of moles which is represented by 'n':

 [tex]n = \frac{100mL}{1000mL}* 0.1 M\\\\n = 0.01 \text{moles}[/tex]

 The number of moles in the 100 mL solution   = The number of moles in the 1,000 mL solution

Thus,

The number of moles in the 1,000 mL (1 L) solution = 0.01 moles  

For calculation of new concentration:

Using Molarity formula:

The new concentration of the 1,000 mL (1 L) solution [tex]= \frac{0.01\text{ moles}}{1000mL} = \frac{0.01\text{ moles}}{1L} = 0.01 M[/tex]

The new concentration of the 1,000 mL (1 L) solution = 0.01 M.

Thus, the correct option is D.

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Related Questions

HELLPP!!! What is needed in order to write the electron configuration for elements? Choose all that applies.

Answers

Answer:

atomic number and electrons

Explanation:

How many molecules of carbon dioxide are in 12.2 L of the gas at STP?

Answers

Answer:

Converting Between Moles and Liters of a Gas at STP. To convert between moles and the volume of a gas at STP, we will use the factor label method discussed in the first unit. This conversions relies on the fact that a mole of gas at STP has a volume of 22.4 L.

Explanation:

One molecule of carbon dioxide at STP has a volume of 22.4 liters . Thus number of molecules of carbon dioxide in 12.2 L is 3.27 × 10²³ molecules.

What is one molecule?

A molecule is formed by the combination of same or different kinds of atoms. A number molecules together form a compound. Water, carbon dioxide etc. are compounds.

One mole of a molecule contains 6.022 × 10²³ number of atoms. Similarly, one mole of a compound contains, 6.022 × 10²³ number of molecules.This number is called Avogadro number.

At standard temperature and pressure (STP) that is at 298 K and 1 atm pressure, one mole of any substance carry 22.4 L. Thus number moles of 12.2 L of carbon dioxide is 12.2 / 22.4 = 0.54 moles.

Number of molecules = 0.54 moles × 6.022 × 10²³

                                     =  3.27 × 10²³

Hence, number of molecules of carbon dioxide in 12.2 L is 3.27 × 10²³ molecules.

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_____ are bits and pieces of material that end up in a body of water.

Answers

Answer:

sediments

Explanation:

If you could repeat the lab and make it better, what would you do differently and why?

There are always ways that labs can be improved. Now that you are a veteran of this lab and have experience with the procedure, offer some advice to the next scientist about what you suggest and why. Your answer should be at least two to three sentences in length.

Answers

Hello, 3Coli Here!

Your Answer is Here:

I would recheck, redo, and revise my answers, if necessary. Also, I can look at the lesson again, if I forgot something. So that's what I would do.

Hopefully, this helps!

Ask your question below!

Answer:

I will just revise and check my answer, or I can redo the lesson.

Explanation:

Have a good day! :D

A 2.5 L container holds a sample of hydrogen gas at 291 K and 180 kPa.

If the pressure increases to 350 kPa and the volume remains constant, what will the new temperature be?

Round your answer to one decimal place.

Answers

Answer:

The new temperature will be 565.83 K.

Explanation:

Gay Lussac's law establishes the relationship between the temperature and the pressure of a gas when the volume is constant. This law says that the pressure of the gas is directly proportional to its temperature. This means that if the temperature increases, the pressure will increase; or if the temperature decreases, the pressure will decrease.

In other words, Gay-Lussac's law states that when a gas undergoes a constant volume transformation, the ratio of the pressure exerted by the gas temperature remains constant:

[tex]\frac{P}{T} =k[/tex]

When an ideal gas goes from a state 1 to a state 2, it is true:

[tex]\frac{P1}{T1} =\frac{P2}{T2}[/tex]

In this case:

P1= 180 kPaT1= 291 KP2= 350 kPaT2= ?

Replacing:

[tex]\frac{180 kPa}{291 K} =\frac{350 kPa}{T2}[/tex]

Solving:

[tex]T2=350 kPa*\frac{291 K}{180 kPa}[/tex]

T2= 565.83 K

The new temperature will be 565.83 K.

Which of the following is not a unit of volume?

A

L


B

mL


C

m^3

​3

​​


D

cm^2

​2
PLEASE ANSWER ASAP !! NEED THIS HANDED IN TN
​​

Answers

Answer:

The orest one is possible D

Explanation:

What does microbiome do to your cells?

Answers

Here’s what I found Hope I helped ;)

Match the subatomic particle to its best explanation:



PHOTON

a fermion
b composite particle
c weak force
d strong force
e forces
f leptons
g up
h +2/3
i gravity

Answers

Answer:

a

Explanation:

aaaa

1.2 dkg to grams now I have to say extra stuff for it to submit

Answers

Answer:

12 grams and I have to write something longer so just ignore this

The following chemical reaction takes place in aqueous solution:
ZnBr2(aq)+2 NaOH(aq) --Zn(OH),(s)+2 NaBr(aq)
Write the net ionic equation for this reaction.

Answers

Answer:

[tex]{\rm Zn^{2+}}\, (aq) + {\rm 2\; OH^{-}}\, (aq) \to {\rm Zn(OH)_2}\, (s)[/tex].

Explanation:

Ionic Equation for this reaction

Rewrite only the species that exist as ions. Those species typically include:

soluble salts,strong acids, and soluble bases.

In this reaction, both [tex]{\rm ZnBr_2}\, (aq)[/tex] and [tex]{\rm NaBr}\, (aq)[/tex] are salts. The state symbol "[tex](aq)[/tex]" suggests that both of these salts are soluble. Hence, both of these salts exist as ions and should be rewritten:

Each [tex]{\rm ZnBr_2}\, (aq)[/tex] formula unit would exist as one [tex]{\rm {Zn}^{2+}}\, (aq)[/tex] and [tex]2\; {\rm Br^{-}}\, (aq)[/tex]. Notice how there are twice as many [tex]{\rm Br^{-}}[/tex] ions as [tex]{\rm {Zn}^{2+}}[/tex] ions.Each [tex]{\rm NaBr}\, (aq)[/tex] formula unit would exist as one [tex]{\rm Na^{+}}\, (aq)[/tex] and one [tex]{\rm Br^{-}}\, (aq)[/tex].

Similarly, the state symbol "[tex](aq)[/tex]" suggests that the base [tex]\rm NaOH[/tex] is also soluble:

Each [tex]{\rm NaOH}\, (aq)[/tex] formula unit would exist as one [tex]{\rm Na^{+}}\, (aq)[/tex] and one [tex]{\rm OH^{-}}\, (aq)[/tex].

On the other hand, the state symbol "[tex](s)[/tex]" suggests that the base [tex]{\rm Zn(OH)_2}\, (s)[/tex] is a precipitate and is not soluble. Rather, the bonds within [tex]{\rm Zn(OH)_2}[/tex] stay mostly intact, and this species would not exist as ions. Hence, do not rewrite [tex]{\rm Zn(OH)_2}\, (s)\![/tex] when deriving the ionic equation for this reaction.

Hence, the ionic equation for this reaction would be:

[tex]\begin{aligned}&\underbrace{{\rm Zn^{2+}}\, (aq) + 2\, {\rm Br^{-}}\, (aq)}_{\text{from ${\rm ZnBr_2}\, (aq)$}} + \underbrace{2\, {\rm Na^{+}}\, (aq) + 2\, {\rm OH^{-}}\, (aq)}_{\text{from $2\, {\rm NaOH}\, (aq)$}} \\ & \to \underbrace{{\rm Zn(OH)_2}\, (s)}_{\text{precipitate}} + \underbrace{2\, {\rm Na^{+}}\, (aq) + 2\, {\rm Br^{-}}\, (aq)}_{\text{from $2\, {\rm NaBr}\, (aq)$}}\end{aligned}[/tex].

Net Ionic Equation for this reaction

Eliminate species that are present on both sides of the ionic equation to obtain the net ionic equation. A species should be eliminated if only if an equal number of this species are found on both sides of the ionic equation. Otherwise, subtract from the side with a larger number of that species.

For this reaction, the net ionic equation would be:

[tex]{\rm Zn^{2+}}\, (aq) + {\rm 2\; OH^{-}}\, (aq) \to {\rm Zn(OH)_2}\, (s)[/tex].

what is the correct answer !

Answers

The answer for this question is A!

Answer:

Hi there, The correct answer is, OPT A

Explanation:

Please mark as the brainliest

Which of the following is an example of chemical energy being used?
A.Eating a sandwich
B.Reading a book
C.Switching on a fan
D.Turning on the light

Answers

I feel like it's C. or D. but I guess it's C.

Pleas help with 2 and 4 for brainliest

Answers

mass of pentane : = 30.303 g

moles of Al₂(CO₃)₃ : = 0.147

Further explanation

Given

1. Reaction

C₅H₁₂+8O₂→6H₂O+5CO₂.

45.3 g water

2. 2AlCl₃ + 3MgCO₃ → Al₂(CO₃)₃ + 3MgCl₂

37.2 MgCO₃

Required

mass of pentane

moles of Al₂(CO₃)₃

Solution

1. mol water = 45.3 : 18 g/mol = 2.52

From equation, mol ratio of C₅H₁₂ : H₂O = 1 : 6, so mol pentane :

= 1/6 x mol H₂O

= 1/6 x 2.52

= 0.42

Mass pentane :

= mol x MW

= 0.42 x 72.15 g/mol

= 30.303 g

2. mol MgCO₃ : 37.2 : 84,3139 g/mol = 0.44

mol Al₂(CO₃)₃ :

= 1/3 x mol MgCO₃

= 1/3 x 0.44

= 0.147

6.900x10^10 ÷ 4.000x10^8

Answers

Answer:

1.725e+18

Explanation:

66 A student wants to design a controlled experiment to solve the following problem: When placed in a freezer, will hot water or cold water reach 0°C faster?
The student plans to place two containers with equal masses of water (one hot and one cold) in the same freezer in the classroom.
a List three conditions the student should keep constant for the hot-water and cold-water setups when planning this experiment. [3]
b For each condition you name, give a scientific reason why the condition needs to be the same for both the hot-water and cold-water setups

Answers

Answer:

Explanation:

is guiZ

What type of elements can react with metals to form salts

Answers

Answer:

The Alkali metals

Explanation:

The alkali metals react with the nonmetals in Group VIIA (F2, Cl2, Br2, I2, and At2) to form ionic compounds or salts. Example: Chlorine reacts with sodium metal to produce sodium chloride, table salt. Because they form salts with so many metals, the elements in Group VIIA are known as the halogens.

Alkali metals are the type of metal that can react with metals to form salts. They form ionic compounds or salts when reacting with non-metals.

What are alkali metals?

Alkali metals are the six elements of group 1 of the periodic table. thee metals are lithium (Li), sodium (Na), potassium (K), rubidium (Rb), cesium (Cs), and francium (Fr).

The main characteristics of alkali metals are:

They are brittle, metallic bonding causes them to be soft metals.Both their melting and boiling points are low.They are metals that are quite reactive.Ionization energy is the force needed to eject an electron from the outermost shell.

Alkali metals interact to generate ionic compounds or salts. As an illustration, sodium metal and chlorine react to form sodium chloride or table salt.

Thus, alkali metals form salt when reacting with metals.

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Write the balanced chemical equations for the following double-replacement reactions.
(Steps: skeleton equation/count number of atoms in reactants and products/balance both sides)
Q24. Aqueous lithium iodide and aqueous silver nitrate react to produce solid sikrer iodide and
1 aqueous lithium nitrate.
A24.
I need the balanced chemical equation for this question

Answers

The balanced equation :

LiI(aq) + AgNO₃(aq) --> AgI(s) + LiNO₃(aq)

Further explanation

Given

Word equation

Required

Balanced equation

Solution

There are 3 ways to express a chemical equation:

word equation skeleton equation balanced equation

Skeleton equation for reaction above :

LiI(aq) + AgNO₃(aq) ⇒ AgI(s) + LiNO₃(aq)

If we look at this reaction, all the cations and anions have a charge of 1 (+1 or -1) so the balanced reaction between the skeleton equation and the balanced equation is the same

Explain why photosynthesis and cellular respiration are the “real circle of life”

Answers

Explanation:Photosynthesis is important because the earth and all of the creatures in the sea and land need the plants to be able to feed themselves with the help of the sun and with cellular respiration, those plants are able to take in the carbon dioxide that we give and make into oxygen with we need. there fore without them we would not be able to exist.

The ability to pound metal into a flat sheet without breaking it is:

A. Luster
B. Malleability
C. Ductile

Answers

Answer: B

Explanation: Cuz .

Answer: The answer to your question is A

Explanation: Hey I miss you

Which element is in the same period as Potassium (K) and in the same
group as Flourine (F)?
O A. Bromine (Br)
O B. Oxygen (O)
O C. Selenium (Se)
O D. Argon (Ar)

Answers

Answer:

A. Bromine (Br)

Explanation:

Correct answer is A. Bromine (Br)

why does condensation not occur on the outside of a warm glass of water?

Answers

Answer:

its called vapor. It can hold so much than colder eater based on the weather. For example if its cold it can heat up faster but if its hot it will maybe stay the same

Which statement describes the conditions in which diamonds form?
A.they form deep underground, in certain areas that are under a great deal of pressure.
B.they form as water evaporates on the shores of very salty bodys of water.
C.They form as water evaporates on the shore of any body of water.
D.they form deep underground, in most regions of earth.

Answers

I believe it is A, if it’s not i’m sorry but I am pretty sure

Answer:

b for sure

Explanation:

How many significant figures are in the number 90027.00?

Answers

Answer:

Scientific Notation: 3.45 x 10^5

E Notation: 3.45e5

Explanation:

I KNOW THE ANS JUST NEED AN EXPLANATION...PLEASE I WILL Mark you the brainiest

Answers

I’m pretty sure it would be D.

Explain how Coulomb's law can help you understand why some interparticle forces are stronger than others.

Answers

Answer:

Coulombs equation involves distance and the distance from one radius to the next allows us to predict certain characteristics such as pull and attraction. For example, you would expect, a higher charge on the ion and a higher dipole moment causes a larger force. This is due to the magnitude which is the distance between these two and effectively that is how Columbus law comes into play.

Coulomb's law states that the force of repulsion or attraction among both two charged bodies is directly proportional to the product of their charges as well as inversely proportional to the square of the length between them.

What is Coulomb's law?

An electric force is created when two charged particles collide. The forces will be greater if you have larger charges.

Coulomb's Law can be understood by combining these two ideas and the fact that charges can attract and repel each other. It is a formula for calculating the electrical forces between two objects.

Coulomb's equation involves distance, and the distance between two radiuses allows us to predict certain characteristics such as pull and attraction.

As you might expect, a higher charge on the ion and a higher dipole moment result in a greater force. This is due to the magnitude of the distance between these two, and this is where Columbus law comes into play.

Thus, this way, Coulomb's law can help you understand why some interparticle forces are stronger than others.

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Plant cells use photosynthesis to make food. ​Plant cells also use cellular respiration to get energy from the food they make. ​How is cellular respiration different from photosynthesis?
A Photosynthesis produces ATP, and cellular respiration produces sugars.
B Photosynthesis requires oxygen, and cellular respiration requires carbon dioxide
C Photosynthesis produces oxygen, and cellular respiration produces carbon dioxide.
D Photosynthesis requires energy from food, and cellular respiration requires energy from the sun.

Answers

Answer:

Photosynthesis converts carbon dioxide and water into oxygen and glucose. Glucose is used as food by the plant and oxygen is a by-product. Cellular respiration converts oxygen and glucose into water and carbon dioxide. Water and carbon dioxide are by- products and ATP is energy that is transformed from the process. So, the answer is A.

Explanation:

I hope this helps. :D

Cellular respiration is different from photosynthesis as photosynthesis produces ATP, and cellular respiration produces sugars. Hence, option A is correct.

What is photosynthesis?

Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.

Photosynthesis converts carbon dioxide and water into oxygen and glucose.

Glucose is used as food by the plant and oxygen is a by-product.

Cellular respiration converts oxygen and glucose into water and carbon dioxide.

Water and carbon dioxide are by-products and ATP is energy that is transformed from the process.

Hence, option A is correct.

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DESCRIBE the five types of chemical reactions
(Synthesis, Decomposition, Single displacement, Double displacement, Combustion)

Answers

Syntesis- is a reaction that occur when two different atoms interact to form a different compound.
Decomposition- is a reaction in which compound breaks down into two or more simple substances.
Single displacement- is a reaction in which one element is substituted for another element in a compound
Double displacement- is a reaction in which the reactant ions exchange places to form new products.
Combustion- is a reaction in which the substance reacts with oxygen from the air, simply said combustion is when something’s burininv.

The study of chemicals is called chemistry.

When two elements react together to form a new compound is called a reaction.

When two-element join together to form a new compound is called synthesis.

[tex]C + O_2 --> Co_2[/tex]

The breakdown of a compound into two different elements is called decomposition.

[tex]H_20 ----> H_2 + O_2[/tex]

The substitute of one element in the compound is called single displacement.

[tex]Fe + H_2So_4---> FeSo_4+ H_2[/tex]

The substitute of two-element in the compound is called double displacement.

[tex]BaCl + H_2So_4 + ---> BaSo_4 + HCl[/tex]

The burning of the element in the presence of oxygen is called a combustion reaction.

[tex]C + O_2 ---> CO_2[/tex]

Hence, the answer is mentioned above.

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what is rusting of iron?​

Answers

Answer:

Rusting is an oxidation reaction. The iron reacts with water and oxygen to form hydrated iron(III) oxide, which we see as rust. Unlike rust, which can flake off the surface of iron and steel objects, the layer of aluminium oxide does not flake off.

Explanation:

Rusting = oxidation reaction
Iron = reacts with oxygen and water to form hydrated iron oxide, we then start to see rust.
This prevents the metal from coming in any contact with air. Hope this helps :)

Can someone plz help? Thanks so much!
An atom that contains 6 protons 6 neutrons and 6 electrons has a mass of approximately
1) 12 u
2) 12 g
3) 18 u
4) 18 g

Answers

Answer:

12 grams

Explanation:

Electrons do not contribute to mass. The proper unit to use is G

The CO2 that builds up in the air of a submerged submarine can be removed by reacting it with sodium peroxide. 2 Na2O2 (s) + 2 CO2 (g) → 2 Na2CO3 (s) + O2 (g)
If a sailor exhales 150.0 mL of CO2 per minute at 20oC and 1.02 atm, how much sodium peroxide is needed per sailor in a 24 hr period?​

Answers

Answer: The sodium peroxide needed per sailor in a 24 hr period is 674 grams.

Explanation:

According to ideal gas equation:

[tex]PV=nRT[/tex]

P = pressure of gas = 1.02 atm

V = Volume of gas = 150.0 ml = 0.15 L

n = number of moles  of carbon dioxide = ?

R = gas constant =[tex]0.0821Latm/Kmol[/tex]

T =temperature =[tex]20^0C=(20+273)K=293K[/tex]

[tex]n=\frac{PV}{RT}[/tex]

[tex]n=\frac{1.02atm\times 0.15L}{0.0821 L atm/K mol\times 293K}=0.006moles[/tex]

[tex]2Na_2O_2(s)+2CO_2(g)\rightarrow 2Na_2CO_3(s)+O_2(g)[/tex]

According to stoichiometry:

2 moles of carbon dioxide require = 2 moles of sodium peroxide

Thus 0.006 moles carbon dioxide require= [tex]\frac{2}{2}\times 0.006=0.006[/tex] moles of  sodium peroxide

Mass of  sodium peroxide needed for 24 hour=[tex]moles\times {\text {Molar mass}}=0.006mol\times 78g/mol\times 24\times 60=674g[/tex]

Thus sodium peroxide needed per sailor in a 24 hr period is 674 grams.

The amount (in grams) of sodium peroxide needed per sailor in a 24 hr period is 673.92 g

Determination of the mole of CO₂Volume (V) = 150 mL = 150 / 1000 = 0.15 L Temperature (T) = 20 °C = 20 + 273 = 293 KPressure (P) = 1.02 atmGas constant (R) = 0.0821 atm.L/Kmol Mole of CO₂ (n) =?

Using the ideal gas equation, we can obtain the mole of CO₂ as follow:

n = PV / RT

n = (1.02 × 0.15) / (0.0821 × 293)

n = 0.006 mole

How to determine the mole of Na₂O₂ required

2Na₂O₂ + 2CO₂ → 2Na₂CO₃ + O₂

From the balanced equation above,

2 moles of CO₂ required 2 moles of Na₂O₂.

Therefore,

0.006 mole of CO₂ will also require 0.006 mole of Na₂O₂.

How to determine the mass of Na₂O₂ required Mole of Na₂O₂ = 0.006 mole Molar mass of Na₂O₂ = (23×2) + (16×2) = 78 g/mol Mass of Na₂O₂ =?

Mass = mole × molar mass

Mass of Na₂O₂ = 0.006 × 78

Mass of Na₂O₂ = 0.468 g per minute

Mass of Na₂O₂ required for 24 h = 0.468 × 24 × 60 = 673.92 g

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Based on the theory of Relative PPP, the current spot exchange rate of U.S. dollars for Canadian dollars should be approximately ________. A) $0.96/C$ B) $1/C$1 C) $1.04/C$1 D) relative PPP provides no guide for this type of question Read the following article.The Automobile and Its ImpactFor most Americans, not a day goes by that they are not affected by cars. The automobile has had more of an impact on American life than any other mode of transportation. The automobile has changed where people live, how people work, and how people view one another.In the early 20th century, people who worked in cities had to live in those cities. People lived in crowded apartments with very little room for their families. When the automobile became available to the masses, people were able to move outside of cities to live. The automobile is what led to the growth and development of the suburbs. People began building homes on the outskirts of cities. Soon these places became communities with roads, police stations, and restaurants. This helped create jobs in those areas. People could choose whether they wanted to drive their car to work in the city or closer to home. Either way, this choice and way of life would not be possible without the automobile.Cities were not the only areas affected by cars. The invention of the automobile helped increase farm production and distribution. Before the invention of the car, farmers used horses to travel. They were limited to only traveling 1520 miles. Now, with cars and later trucks, farmers could deliver their products many miles away. This meant that more people could buy their products, and the farmer could earn more money. This also meant that people could enjoy produce that was not locally grown. Cars did not only have positive impacts on American society. The invention of the car created a new class system for Americans. In the early 20th century, only the wealthy were able to own cars. Over time, cars became status symbols. Some cars were created simply as a symbol of wealth and class. That is still the case today. Cars have also created more pollution. The gasoline that cars need to run has negatively affected the air. The more cars there are, the more polluted the air becomes.The invention of the car has changed how people live in both positive and negative ways. This cannot be said for any other mode of transportation. Although ships and planes have made travel more convenient, they have not impacted a person's everyday life in the same way as cars.What evidence does the author use to support the idea that cars increased farm distribution? Farmers could now farm different types of produce. Farmers could now live in cities and work in farms. Farmers could now travel more than 1520 miles a day. People who lived in suburbs could now start a farm. Sam heaves a 16lb shot straight upward, giving it a constant upward acceleration from rest of 35 m/s^2 for 64.0 cm. He releases it 2.20m above the ground. You may ignore air resistance.(a) What is the speed of the shot when Sam releases it?(b) How high above the ground does it go?(c ) How much time does he have to get out of its way before it returns to the height of the top of his head, 1.83 m above the ground? PLEASE HELPP THANK YOU