Show that the units of kinetic energy (from ½ mv2 ) and gravitational potential energy (from mgh) are the same.

Answers

Answer 1

Answer:

The units of both types of energy are Joule (kg × m² × s⁻²).

Explanation:

Step 1: Show the units of kinetic energy

The equation for kinetic energy is:

K = 1/2 × m × v²

where,

m: mass

v: speed

The units are:

K = 1/2 × m × v²

[K] = kg × (m/s)²

[K] = kg × m² × s⁻² = J

Step 2: Show the units of gravitational potential energy

The equation for gravitational potential energy is:

G = m × g × h

where,

m: mass

g: gravity

h: height

The units are:

G = m × g × h

[G] = kg × m/s² × m

[G] = kg × m² × s⁻² = J


Related Questions

Question 4 of 10
Which phrase best describes how scientists use the data they collect?
A. To convince students to repeat their experiments
B. To prove that a scientific hypothesis is correct
C. To persuade other people to believe the same things
D. To decide if there is support for an experiment's conclusions

Answers

Answer:

D.

Explanation:

Apex

Scientists use the data which they collect  to decide if there is support for an experiment's conclusions and to test if it is in support or against the hypothesis proposed.

What is hypothesis?

Hypothesis can be defined as an assumption which is made for the sake of argument . It is an interpretation of a practical condition for which action needs to be taken.It is defined as a tentative assumption which is made to test logical consequences.It is an antecedent clause of a statement which is conditional.

It is constructed before research. There are six types of hypothesis 1)simple hypothesis 2) complex hypothesis 3) directional hypothesis 4)non-directional hypothesis 5) null hypothesis 6)casual hypothesis

The hypothesis should be clear and precise, it must be specific and way of explanation of hypothesis should be simple.

Learn more about hypothesis,here:

https://brainly.com/question/29519577

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This is really hard help pls

Answers

The answers are A. Pseudoscience is often based only on opinions; D. Pseudoscience often involves explanations of beliefs; E. Pseudoscience includes subjective ideas.

Explanation:

Pseudosciences comprises disciplines or theories that do not follow scientific standards but claim to be factual. This includes areas such as clairvoyance or astrology because this is not based on evidence but subjectivity. Indeed, the base of most pseudosciences are personal beliefs, opinions, or subjective ideas. Moreover, complex theories or methods are created to try to explain these beliefs, but because they do not follow scientific standards they are not considered as valid. In this context, options A, D, and E are correct.

identify A
CH3CL+AgCN-----??(A)

Answers

Your question has been heard loud and clear

CH3Cl + AgCN = CH3CN + AgCl

A= CH3CN+AgCl

Thank you

What is the final product of the following sequence of reactions? (CH3NCHOH PBr3 Mg diethyl ether 1) L N PCC 2) H3O * CH2Cl2 A) (CH3)2CHOCH2CH2OH. B) (CH3)2CHCCH3C) (CH3)2CHCH2CHO.D) (CH3)2CHCH2CO2H.

Answers

Answer:

(CH3)2CHCH2CHO

Explanation:

The reaction sequence begins with the reaction of isopropanol with phosphorus tribromide to yield isopropyl bromide. This is followed by reaction with Magnesium in ether solution giving a grignard reagent, isopropyl magnesium bromide. This is now attacked by oxirane and the epoxide ring opens, hydrolysis of the product, followed by oxidation using pyridinium chlorochromate (PCC) yields the final product- (CH3)2CHCH2CHO

The detailed reaction mechanism is attached to this answer.

A crystalline form of solid fat is ?

_ _ _ _ _ _ _ _ _ _

( 10 letter word )

Answers

A crystalline form of solid fat is Glycerides

Hope it helped :)

Two solutions, initially at 24.60 °C, are mixed in a coffee cup calorimeter (Ccal = 15.5 J/°C). When a 100.0 mL volume of 0.100 M AgNO3 solution is mixed with a 100.0 mL sample of 0.200 M NaCl solution, the temperature in the calorimeter rises to 25.30 °C. Determine the ∆H°rxn in kJ/mol AgCl for the reaction as written below. The density of the final solution is 1.00 g/mL and heat capacity of the final solution is 4.18 J/goC.
NaCl(aq) + AgNO3(aq) → AgCl(s) + NaNO3(aq) H°rxn= ?

Answers

Answer:

ΔH = -59.6kJ/mol

Explanation:

The reaction that occurs between Ag⁺ and Cl⁻ ions is:

Ag⁺ + Cl⁻ → AgCl(s) + ΔH

To find ΔH we need to obtain moles of reaction and heat released in the reaction because ΔH is defined as heat released per mole of reaction.

Moles of reaction:

Moles of Ag⁺ and Cl⁻ added are:

Ag⁺: 0.100L * (0.100mol / L) = 0.01moles

Cl⁻: 0.100L * (0.200mol / L) 0 0.02 moles

That means limiting reactant is Ag⁺ and moles of reaction are 0.01 moles

Heat released:

To find heat released we must use coffe cup calorimeter equation:

Q = C*m*ΔT

Where C is specific heat of solution (4.18J/g°C), m is the mass of solution (200g because there are 100 + 100mL = 200mL and density of solution is 1g/mL) and ΔT is change in temperature (25.30°C - 24.60°C = 0.70°C).

Replacing:

Q = C*m*ΔT

Q = 4.18J/g°C * 200g * 0.70°C

Q = 585,2J

Is total heat released.

The calorimeter absorbs:

15.5J / °C * 0.7°C = 10.85

Thus, when 0.01 moles reacts, 585.2J + 10.85  = 596.05J are released (Heat released is heat abosrbed by calorimeter + Heat absorbed by water) and ΔH is:

ΔH = 596.05J / 0.01 moles =

ΔH = 59605J / mol =

ΔH = -59.6kJ/mol

As heat is released, ΔH < 0.

What do you think pseudo- means?

Answers

Pseudo in chemistry means a reaction which is not first-order reaction naturally but made first order by increasing or decreasing the concentration of one or other reactant is known as Pseudo first order reaction.Pseudo means "fake".

Which of these are not true statements a compound?
A compound's properties are usually not the same as the properties of the elements that make it up.
A compound always has the same composition.
A compound is made up of more than one type of atom.
A compound can have more than one chemical formula and still be considered the same compound.

Answers

Answer:

A compound can have more than one chemical formula and still be considered the same compound.

Explanation:

Which of these are not true statements a compound?

A compound's properties are usually not the same as the properties of the elements that make it up.  TRUE. For instance, the salt NaCl has different properties than the solid metal Na and the gaseous nonmetal Cl₂.

A compound always has the same composition.  TRUE. The ratio of elements in a compound is constant.

A compound is made up of more than one type of atom.  TRUE. Unlike elements, compounds are formed by 2 or more elements.

A compound can have more than one chemical formula and still be considered the same compound. FALSE. Each compound can have only one chemical formula.

If there are 17.5 grams of sugar in 225 grams of an aqueous sugar solution, the percent-mass sugar is

Answers

Answer:

% m/m (sugar) = 7.77 %

Explanation:

Step 1: Given data

Mass of sugar (solute): 17.5 g

Mass of solution: 225 g

Step 2: Calculate the percent by mass of sugar

The percent by mass of sugar is equal to the mass of sugar divided by the mass of the solution times 100%.

% m/m (sugar) = (mass of sugar / mass of solution) × 100%

% m/m (sugar) = (17.5 g / 225 g) × 100%

% m/m (sugar) = 7.77 %

How many moles is 11 grams of H2O
Answer to the nearest 0.01 moles.

Answers

Answer:

hope your having a blessed day

Explanation:

Explanation:

We know :-

Molecular mass of H2O = 18 u

Molar mass = 18 g

Then no of moles = Mass given ÷ Molar mass

= 11 ÷ 18

= 0.611111..

or = 0.61

Consider the diprotic acid H2A with K1 = 1.00 x 10-4 and K2 = 1.00 x 10-8 . Find the pH and concentrations of H2A, HA-, and A2- in (a) 0.100 M H2A; (b) 0.100 M NaHA; (c) 0.100 M Na2A

Answers

Answer:

Explanation:

H₂A    ⇄   HA⁺  +  A⁻

K₁ = [ HA⁺] [A⁻ ] / [ H₂A ]

HA⁺ ⇄  H⁺ + A⁻

K₂ = [ H⁺] [ A ⁻ ] / [ HA⁺ ]

H₂A           ⇄   HA⁺      +        A⁻

.100                     0                 0

.100 - C                C                C

K₁ = [ HA⁺] [A⁻ ] / [ H₂A ]

Putting the values

1.00 x 10⁻⁴ =   C X C / .1  -  C

10⁻⁵ - 10⁻⁴ C = C²

C²  + 10⁻⁴ C - 10⁵ = 0

C = 8 X 10⁻² M

So concentration of H₂A that is [ H₂A ]  = 1 - C =   0 .1 - 8 X 10⁻² M

= .02 = 2 x 10⁻² M

NaHA    ⇄   Na⁺ + HA⁻

NaHA is a strong acidic salt  so it will ionise 100 %

NaHA    ⇄   Na⁺ + HA⁻

.1                   .1         .1  

concentration of HA⁻  =  .1 M

Na₂A ⇄  2Na⁺  + A⁻²

Na₂A is also a strongly ionic  salt so it will dissociate 100 % .

Na₂A ⇄  2Na⁺  + A⁻²

.1               .1          .1  

concentration of A⁻²  = .1 M  

HA⁺    ⇄       H⁺   +     A⁻

8 X 10⁻²         C₁        C₁  

K₂ = [ H⁺] [ A ⁻ ] / [ HA⁺ ]

Putting the values

1.00 x 10⁻⁸ = C₁ X C₁ /  C

1.00 x 10⁻⁸ = C₁²  /  8 X 10⁻²

C₁² = 8 x 10⁻¹⁰

C₁ = 2.828 x 10⁻¹⁰

[ H⁺]  = 2.828 x 10⁻¹⁰

pH = - log  [ H⁺]  = - log 2.828 x 10⁻¹⁰

= 10 - log 2.828

= 10 - .45

= 9.55 .

What fundamental unit of the metric system always has a prefix in front of it?

Answers

Answer:

Kilogram

Explanation:

The metric system is the Kilogram, meter, second system. These are fundamental quantities of the metric system.

Kilogram, the unit of mass always carries the prefix 'kilo' in its SI unit. Kilogram is the SI unit of mass. Hence, the fundamental unit on the metric system that always has a prefix in front of it is kilogram.

A sample of nitrogen gas is confined to a 14.0 L container at 375 torr and 37.0°C. How many moles of nitrogen are in the container?

Answers

Answer:

n = 0.271 moles

Explanation:

Given that,

Volume of container, V = 14 L

Pressure of Nitrogen gas, P = 375 torr

Temperature. T = 37°C=37+273=310°C

We need to find the number of moles of nitrogen in the container. Using gas equation,

PV = nRT

R is gas constant, R = 0.082 L-atm/mol-K

Since, 1 atm=760 torr

375 torr = 0.493 atm

Now,

[tex]n=\dfrac{PV}{RT}\\\\n=\dfrac{0.493\times 14}{0.082\times 310}\\\\n=0.271[/tex]

So, there are 0.271 moles of Nitrogen in the container.

The ideal gas law, also called the general gas equation, is the equation of the state of a hypothetical ideal gas.

The ideal gas law work under the constant:-  

Pressure Temperature Volume

Hence the formula we gonna use is as follows:-

[tex]PV = nRT[/tex]

In the question, the pressure, temperature, and volume are given in two different systems.

As the date given in the question, after putting it into the equation:-

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

[tex]n = \frac{0.493*14}{0.082 *310}[/tex]

n= 0.271.

The number of moles in the nitrogen container is 0.271.

For more information, refer to the link:-

https://brainly.com/question/21380670

Which list includes all the steps of a descriptive investigation? A. is asking questions, making observations, collecting data, comparing, and forming a conclusion B. Asking questions, making observations, experimenting, analyzing data, and forming a conclusion C. Asking questions, making observations, experimenting, and overcoming limitations D. Asking questions, making observations, collecting data, and forming a conclusion

Answers

Answer: D

Explanation:

Answer: B

Explanation: Those are the steps and I took the quiz and got it right

To convert m-ethylaniline to m-ethylfluorobenzene, it should be treated with nitrous acid followed by _____________.

Answers

Answer:

[tex]NaBF_4[/tex]

Explanation:

In this reaction, we must exchange the amino group ([tex]NH_2[/tex]) for a fluorine atom ([tex]F[/tex]). Also, the first step in this reaction is the addition of nitrous acid.

We must remember that the amino group in the presence of nitrous acid produces a diazonium salt. The [tex]N_2[/tex] group is a very good leaving group and many benzene derivatives can be produced from this intermediate (see figure 1).

If what we want is to bond a fluorine atom we must use [tex]NaBF_4[/tex] to be able to produce m-ethylfluorobenzene (see figure 2).

I hope it helps!

Which statement is TRUE regarding the macroscopic and
microscopic nature of chemistry?
Chemists make observations on the macroscopic
a scale that lead to conclusions about microscopic
features
b
Changes that occur on the macroscopic scale affect
what we observe on the microscopic scale
Chemists make observations on the microscopic
C scale that lead to conclusions about macroscopic
features
d Chemists are only concerned with macroscopic
changes and features

Answers

Answer:

Chemists make observations on the macroscopic a scale that lead to conclusions about microscopic features

Explanation:

Many important chemical observations are made on the macroscopic scale. This is because, many of the scientific equipments available are not presently able to provide direct evidence about microscopic processes. Evidences obtained from macroscopic observations could serve as important insights into the nature of certain microscopic processes.

This is evident in the study of the structure of the atom. Most of the evidences that led to the deduction of the atomic structure were obtained from macroscopic evidence but ultimately provided important information about the microscopic structure of the atom.

It is true that Chemists make observations on the macroscopic  scale that lead to conclusions about microscopic  features.

Macroscopic observations are those that humans are able to see with their naked eyes.

Observing macroscopic phenomenon, scientists are able to come up with conclusions at a microscopic level because anything that happens at the macroscopic level is as a result of microscopic occurrences on a much smaller level.

Examples of macroscopic occurrences that lead to microscopic conclusions:

Water evaporating when heated allows scientists to conclude that atoms move faster when they gain heat Food decaying allows scientists to conclude that microscopic organisms are working on the food.

In conclusion, the observations we make on a macroscopic scale allow for microscopic conclusions.

Find out more at https://brainly.com/question/2496507.

When you have a free metal ion, how do the energies of these orbitals relate to one another (are they the same, different, etc.)?

Answers

Answer:

The energy of the orbitals are the same

Explanation:

For a free metal ion, all the d-orbitals are of the same energy. The five d-orbitals are said to be five fold degenerate in the free metal ion. Hence all the d-orbitals will possess the same energy irrespective of which one is first filled.

In an octahedral or tetrahedral crystal field, the d-orbitals will loose their degeneracy and become different in energy based on their orientation towards the ligands.

What is the wavelength for electromagnetic radiation with a frequency of 1.10 x 10 to the 6 hs?

Answers

Answer:

here is something I know

hope it works :)

Explanation:

Visible light has a wavelength range from ~400 nm to ~700 nm. Violet light has a wavelength of ~400 nm, and a frequency of ~7.5*1014 Hz. Red light has a wavelength of ~700 nm, and a frequency of ~4.3*1014 Hz.

Explain the difference between mass and weight and how they are measured.

Answers

Answer:

Mass:

1) Definition : Mass is the quantity of matter possessed by the body.

2) Quantity : Mass is a scalar quantity

3) Measurement: Mass is measured by ordinary balance

4) Unit : Unit of mass is kilograms in SI units.

5) Formula : m = W/g

Weight:

1) Definition: The gravitational force of attraction is called weight.

2) Quantity : Weight is a vector quantity.

3) Measurement : It is measured by spring balance

4) Unit : Unit of Weight is Newton in SI units.

5) Formula : W = mg  [Where m is mass and g is acceleration due to gravity]

Answer:

Mass is how big an item is while weight is how heavy or light an item is. The mass of a human stays the same weather on Earth or on the Moon. While weight will be different on the Moon rather than on Earth.

Explanation:

which statement describes a risk of technological design of headphones?

Answers

Answer: maybe a choking hazard for the ones with wires

Explanation:

3. A block with a volume of 82.1 cm3 is made out of pure tin (Sn). If the mass of the block is
600. g, what is the density of the block?

Answers

Answer:

The answer is

7.3 g/cm³

Explanation:

Density of a substance is given by

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

From the question

mass of block = 600 g

volume = 82.1 cm³

Substitute the values into the above formula and solve for the Density

That's

[tex]Density = \frac{600}{82.1} \\ = 7.3081607[/tex]

We have the final answer as

7.3 g/cm³ to one decimal place

Hope this helps you

The main type of attractive forces between molecules of carbon tetrabromide (cbr4) are:_______

Answers

Answer:

Vanderwaals forces

Explanation:

CBr4 is a nonpolar molecule, nonpolar molecules usually possess vanderwaals forces between their molecules as their main attractive force.

CBr4 is nonpolar because the tetrahedral arrangement of the C-Br bonds cancel out the individual dipole moments of each C-Br bond thereby making the compound nonpolar, hence the answer above.

Determine the pH of a solution of 0.00278 M of HClO4. Report the answer to two digits past the decimal.

Answers

Answer:

The pH of a solution of 0.00278 M of HClO₄ is 2.56

Explanation:

pH is a measure of acidity or alkalinity that indicates the amount of hydrogen ions present in a solution or substance and is calculated as:

pH= - log [H⁺]= - log [H₃O⁺]

On the other hand , a Strong Acid is that acid that in an aqueous solution dissociates completely. In other words, a strong acid completely dissociates into hydrogen ions and anions in solution.

HClO₄ is a strong acid, so in aqueous solution it will be  totally dissociated. Then, the concentration of protons is equal to the initial concentration of  acid and the pH will be calculated:

pH= - log 0.00278

pH= 2.56

The pH of a solution of 0.00278 M of HClO₄ is 2.56

How many significant figures are in 0.003450?

Answers

Answer:

4

Explanation:

Four significant figures

Calculate the molar mass of calcium hydroxide, Ca(OH),(s). Write your answer using
proper units. Show all work.

Answers

Answer:

57.09 g/mol

Explanation:

Step 1: Find the mass for every 1 mole in each element

Ca - 40.08 g/mol

O - 16.00 g/mol

H - 1.01 g/mol

Step 2: Add the masses to find total mass

40.08 + 16.00 + 1.01 = 57.09 g/mol

So we have 57.09 grams per every mole in Calcium Hydroxide.

A piece of wood that measures 3.0 cm x 6.0 cm x 4.0 cm has a mass of 80.0 g. What is the density of the word? With a piece of wood float in the water? Volume equals length times with times height

Answers

Answer : The density of wood is 1.11 g/cm³.

The piece of wood will not float in water.

Explanation : Given,

Mass of wood = 80.0 g

Length of piece of wood = 3.0 cm

Width of piece of wood = 6.0 cm

Height of piece of wood = 4.0 cm

First w have to calculate the volume of wood.

Volume of wood = Length × Width × Height

Volume of wood = 3.0 cm × 6.0 cm × 4.0 cm

Volume of wood = 72.0 cm³

Now we have to calculate the density of wood.

[tex]\text{Density of wood}=\frac{\text{Mass of wood}}{\text{Volume of wood}}[/tex]

Now putting all the given values in this formula, we get:

[tex]\text{Density of wood}=\frac{80.0g}{72.0cm^3}[/tex]

[tex]\text{Density of wood}=1.11g/cm^3[/tex]

As we know that there are two conditions to determine whether the object will float or sink in a liquid.

If the density of object is less than water then the object will float on water.If the density of object is more than water then the object will sink in water.

The density of water is 1 g/cm³.

From this we conclude that the density of wood is more than water that means the wood will sink in water.

You need to make an aqueous solution of 0.237 M chromium(III) acetate for an experiment in lab, using a 500 mL volumetric flask. How much solid chromium(III) acetate should you add

Answers

Answer: 27.1 g of solid chromium(III) acetate should be added.

Explanation:

Molarity of a solution is defined as the number of moles of solute dissolved per liter of the solution.

[tex]Molarity=\frac{n\times 1000}{V_s}[/tex]

where,

n = moles of solute

[tex]V_s[/tex] = volume of solution in ml

moles of [tex]Cr(CH_3COO)_3[/tex] = [tex]\frac{\text {given mass}}{\text {Molar mass}}=\frac{xg}{229g/mol}[/tex]

Now put all the given values in the formula of molality, we get

[tex]0.237=\frac{xg\times 1000}{229g/mol\times 500ml}[/tex]

[tex]x=27.1[/tex]

Therefore, 27.1 g of solid chromium(III) acetate should be added.

Which measurement of length is the smallest?
9 10–6 m
7 10–5 m
7 101 m
9 102 m

Answers

Answer:

A is the correct answer

A is the correct answer

NBr3 a) dispersion forces b) dipole-dipole forces c) hydrogen bonding

Answers

Answer:

b) dipole-dipole forces

Explanation:

Hello,

In this case, it is widely known that NBr₃ is a polar molecule since it has a trigonal pyramidal geometrical structure in which nitrogen has a lone pair of electrons and three bonds with three bromine atoms which are polar, due to the fact that bromine is less electronegative than nitrogen. causing the overall compound to be polar, as the dipoles are not cancelled. Therefore, the strongest forces are b) dipole-dipole forces among dipoles.

Regards.

a sample of mass 6.814grams is added to another sample weighing 0.08753 grams. the subsequent mixture is then divided into exactly 3 equal parts. one of those parts has the yield multiplied by 7.6335 times, what is the final mass?

Answers

Answer:

[tex]Final\ Mass = 17.560943085g[/tex]

Explanation:

Given

[tex]Sample\ Mass = 6.814g[/tex]

[tex]Additional\ Mass = 0.08753g[/tex]

[tex]Yield = 7.6335[/tex]

Required

Determine the final mass

First we need to determine the total mass after the sample mass is added to an additional sample;

[tex]Total\ Mass = Additional\ Mass + Sample\ Mass[/tex]

[tex]Total\ Mass = 0.08753g + 6.814g[/tex]

[tex]Total\ Mass = 6.90153g[/tex]

Next, divide the total mass by 3

[tex]New\ Mass = \frac{Total\ Mass}{3}[/tex]

[tex]New\ Mass = \frac{6.90153g}{3}[/tex]

[tex]New\ Mass = 2.30051g[/tex]

The final mass is calculated as follows;

[tex]Final\ Mass = New\ Mass * Yield[/tex]

[tex]Final\ Mass = 2.30051g * 7.6335[/tex]

[tex]Final\ Mass = 17.560943085g[/tex]

Hence, the final mass is 17.560943085g

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