A rubber ball is held 4.0 m above a concave spherical mirror with a radius of curvature of 1.5 m. At time equals zero, the ball is dropped from rest and falls along the principal axis of the mirror. How much time elapses before the ball and its image are at the same location?

Answers

Answer 1

The time elapsed when the ball placed above the concave mirror and the image formed would be at the same location is 0.55 s.

Image distance

The position of the image formed is determined using the followimg mirror formula;

[tex]\frac{1}{f} = \frac{1}{v} + \frac{1}{u}[/tex]

where;

f is the focal length of the mirrorv is the image distanceu is the object distance

f = R/2

f = 1.5/2

f = 0.75 m

When the ball and its image is in the same position, u = v

The position of the ball is calculated as;

[tex]\frac{1}{f} = \frac{1}{u} + \frac{1}{u} \\\\\frac{1}{f} = \frac{2}{u} \\\\u = 2f\\\\u = 2(0.75)\\\\u = 1.5 \ m[/tex]

Time of motion of the ball

The time taken for the ball to travel the caluclated distance is determined as;

h = ut + ¹/₂gt²

1.5 = 0  + ¹/₂(9.8)t²

1.5 = 4.9t²

t² = 1.5/4.9

t² = 0.306

t = 0.55 s

Thus, the time elapsed when the ball and its image are at the same location is 0.55 s.

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Related Questions

given scientific reason for Nacl dissolves in water​

Answers

Answer:

Matter is made-up of minute particles. Minute particles of matter have space between them.

So, when common salt is added to water, the particles of salt get into the space between particles of water.

Hence, common salt (Table salt) dissolves in water.


What is the pressure exerted by a force of 14.7 N over an area of 0.00482 m²?

Answers

Answer:

[tex]p= \frac{F}{A} = \frac{ 14.7 }{0.00482} = 3050 \: Pa[/tex]

Calculate the volume of 2.30 moles of gas exerting a pressure of 2.80 atm at 155°C.

Answers

Answer:

28.83dm³

Explanation:

Using ideal gas equation

PV=nRT

P=2.80atm

n=2.30

R=0.082

T=155°C (155+273=428Kelvin)

V=nRT/P

V=2.30×0.082×428/2.80

V=28.83dm³

Which action would shift this reaction away from solid silver chloride and toward the dissolved ions

Answers

removing chloride ion is the reaction away

A student with a cold experiences a fever. The fever results directly from the activity of which body system?

A: Respiratory

B: Immune

C: Circulatory

D: Skeletal

Answers

Answer:

its prob B since thats the system that protects the body from harmful substances

Explanation:

Answer:

B since that's the system that protects the body from harmful substances.

hope you like it

true or false:Earth's atmosphere is composed of about 78 percent nitrogen, 21 percent oxygen, 0.9 percent argon, and 0.1 percent other gases

Answers

Answer:

True

Explanation:

This is true.

Earth's atmosphere is composed of about 78 percent nitrogen, 21 percent oxygen, 0.9 percent argon, and 0.1 percent other gases is a true statement.

What are the main components of the atmosphere?

The main components of the Earth's atmosphere are nitrogen (78%) and oxygen (21%).

Atmosphere, the gaseous layer that surrounds the Earth, is composed of gases such as oxygen, hydrogen and carbon dioxide. It is divided into layers and ensures survival on the planet.

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How much energy (in J) is required to raise the temperature of 19.2 g of water by 5.00 oC? (Specific heat capacity of liquid water: 4.184 J/g⋅°C)

Answers

Answer: 401.664J

Explanation:
Formula for energy required = mass x specific heat capacity x change in temperature
First of all, check the units and make sure they correspond
Grams to grams and °C to °C
So we can go ahead and multiply
If we were given a parameter in kilogram or kelvin, might've had to convert
Energy required = 19.2 x 4.184 x 5 = 401.664 J
You could approximate to 401.7J

12. A voltaic cell consists of a chromium electrode dipped in a 1.20 M chromium (III) nitrate
solution and a tin electrode dipped in a 0.400 M tin (II) nitrate solution. What is the cell
potential at 298 K?

Answers

For a voltaic cell consisting of chromium, an electrode dipped in a 1.20 M chromium (III) nitrate solution and a tin electrode dipped in a 0.400 M tin (II) nitrate solution, the cell potential at 298 K  is mathematically given as

Ecell = 0.577 V

What is the cell potential at 298 K?

Generally, the equation for the Oxidation and Reduction  is mathematically given as

Cr(s) ------------------ Cr+3(aq) + 3e- ] x 2 ...O

Sn+2(aq) + 2e- ------------ Sn(s) ] x 3  ...R

Reaction

 2 Cr(s) + 3 Sn+2(aq) --------------- 2 Cr+3(aq) + 3 Sn(s)

Therefore

Eicell = - 0.14 - ( - 0.74)

Eicell = 0.60

In conclusion

[tex]Ecell= E0cell - \frac{0.0591}{n} * \frac{log[Cr+3]^2}{ [ Sn+2]^3}[/tex]

[tex]Ecell = 0.60 - \frac{0.0591 }{6} \frac{log( 1.20)^2}{ ( 0.200)^3}[/tex]

Ecell = 0.577 V

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Balance the following equation. Fill in the blanks

( ? )NaCl + ( ? ) AgNO3 → ( ? )AgCl + ( ? ) NaNO3

Answers

NaCl+AgNO_3-->AgCl+NaNO_3

on both sides

Na=1Ag=1Cl=1NO_3=1

Hence it's balanced already

If I add 30mL of water to 125mL of a 0.15M of NaOH solution, what will the molarity of the dilated solution be?

Answers

Answer:

.12 M

Explanation:

.15 M / L  * .125 L = .01875 Moles

now add 30 ml for total  155 ml = .155 L

.01875 M / .155 L = .12 M

what is this difference between a Mm and a mm? which is larger one Mm or one mm

Answers

mm is short for millimeter and Mm is short for
Megameter. Try not to get them muddled up
because the are very different sizes.
The letter is different

PROBLEM SETS: %BY MASS, % BY VOLUME, MOLARITY, MOLALITY (show your solution)
1. What is the molarity of a solution in which 0.850 grams of ammonium nitrate are dissolved in 345 mL of solution?
2. Calculate the molality of a solution of 13.5g of KF dissolved in 250. g of water.
3. Calculate the molality of a solution containing 16.5 g of dissolved naphthalene (C10H8) in 54.3 g benzene (C6H6).
4. What is the mass percent of each component in the mixture formed by adding 12 g of calcium sulfate, 18 g of sodium nitrate, and 25 g of potassium chloride to 500 g of water?
5. A solution is made by dissolving 125 g of sodium chloride in 1.5 kg of water. What is the percent by mass?
6. What is the percent by volume of a solution formed by added 15 L of acetone to 28 L of water?

Answers

The concentration of a substance can be expressed using molarity, molality or percent.

What is concentration?

The term concentration has to do with the amount of substance present in solution. Now let us solve the problems individually;

a) Number of moles =  0.850 grams/80 g/mol = 0.011 moles

molarity = 0.011 moles/345 * 10^-3 L = 0.032 M

b) Number of moles =  13.5g /58 g/mol = 0.23 moles

molality = 0.23 moles/250 * 10^-3 Kg = 0.92 m

c) Number of  moles = 16.5 g/128 g/mol = 0.13 moles

molality = 0.13 moles/54.3  * 10^-3 Kg =2.39 m

d) Total mass present =  12 g +  18 g + 25 g + 500 g = 555 g

mass percent of calcium sulfate =  12 g/555 g * 100/1 = 2.2 %

mass percent of sodium nitrate =  18 g/ 555 g  * 100/1 = 3.2 %

mass percent of potassium chloride = 25 g / 555 g  * 100/1 = 4.5%

mass percent of water =  500 g / 555 g  * 100/1 =90.1%

e) Total mass present = 125 g + 1500g = 1625 g

Mass percent of NaCl =  125 g/1625 g * 100/1 = 7.7%

f) Total volume of solution = 15 L +  28 L  = 43 L

percent by volume of acetone = 15 L/43 L * 100/1 =  34.9%

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Any seabin limitations

Answers

Answer:

The device can collect up to 1.5 kg (3.3 lbs) of waste per day and holds a total of 20 kg (44 lbs) of waste. To illustrate this more vividly: A Seabin can collect up to 90’000 plastic bags, 37’500 coffee cups or 16’500 PET bottles per year.

Explanation:

Not sure what you mean??

Quantity of atoms in .3521 mol in ZrSiO4

Answers

Answer:

look the image

Explanation:

A 25.0 g sample of N2 gas, has a volume of 50.0 L and a pressure of 630. mm of Hg. What is the temperature of the gas? Universal Gas Constant, R = 62.4 L.mm Hg/mole.K

Answers

Answer:

565.4 K

Explanation:

Remember PV = nRT

630 * 50 =  25/28 * 62.4 T

T = 565.4 kelvin

6. How many moles of water would require 92.048 kJ of heat to raise its temperature from 34.0 °C to 100.0 °C? (3 marks)​

Answers

Taking into account the definition of calorimetry, 0.0185 moles of water are required.

Calorimetry

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

Sensible heat is defined as the amount of heat that a body absorbs or releases without any changes in its physical state (phase change).

So, the equation that allows to calculate heat exchanges is:

Q = c× m× ΔT

where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.

Mass of water required

In this case, you know:

Heat= 92.048 kJMass of water = ?Initial temperature of water= 34 ºCFinal temperature of water= 100 ºCSpecific heat of water = 4.186 [tex]\frac{J}{gC}[/tex]

Replacing in the expression to calculate heat exchanges:

92.048 kJ = 4.186 [tex]\frac{J}{gC}[/tex]× m× (100 °C -34 °C)

92.048 kJ = 4.186 [tex]\frac{J}{gC}[/tex]× m× 66 °C

m= 92.048 kJ ÷ (4.186 [tex]\frac{J}{gC}[/tex]× 66 °C)

m= 0.333 grams

Moles of water required

Being the molar mass of water 18 [tex]\frac{g}{mole}[/tex], that is, the amount of mass that a substance contains in one mole, the moles of water required can be calculated as:

[tex]amount of moles=0.333 gramsx\frac{1 mole}{18 grams}[/tex]

amount of moles= 0.0185 moles

Finally, 0.0185 moles of water are required.

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What is the correct way of representing hydrogen gas alone, in a reaction??

Answers

H2 it is a diatomic atom.

Its chemical formula is C17H19NO3. What percent, by mass, is carbon in this compound?

Answers

The atomic mass for C (Carbon) is equivalent to 12.0107 units, and after determining the other variable of the equation, carbon makes up 71.558% of the mass.

What are renewable resources?

Answers

Answer:

Renewable sources are something that can be renewed like
Plants
Trees
etc
uh

Explanation:

Non-renewable for example is you cant renew them at all
there built by the earth themselfs
Like
cole
gemstone
Steel

Metal
etc

How to pay taxes I MEAN

If two metals had the same specific heat, how can we distinguish them in two ways?

Answers

Answer:

Specific heat is an intensive property (like density, color, etc.) that does not depend on the amount of a substance present. This allows substances to be identified using their specific heat. Imagine an unknown metal of known mass is heated to a known temperature.

Explanation:

what is galvanization

Answers

The most common hot dipping process for industrial applications is galvanizing, which refers to the coating of zinc over iron or steels for rust proofing. It is an extremely versatile and easy means of providing corrosion protection for construction materials exposed to atmospheric conditions.

Which equation shows how frequency is related to velocity and wavelength?

Answers

The equation that shows how frequency is related to velocity and wavelength is f = v / λ (Option A)

What is frequency?

This is defined as the number of oscillations made in one second. It is expressed as

Frequency (f) = 1 / period (T)

f = 1 / T

Relationships between frequency, wavelength and velocity

The velocity, frequency and wavelength of a wave are related according to the following equation

v = λf

Making f the subject, we have

f = v / λ

Thus, we can conclude that the correct answer to the question is:

f = v / λ (Option A)

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What is the volume of 1.758 mole of a gas at standard temperature and pressure

Answers

Answer:

39.379 liters

Explanation:

One mole of gas at STP = 22.4 l / mole

22.4 l/mole * 1.758 mole = 39.379 liters

2.1 Interpret the results based on your understanding. Indicate deficiencies and excesses. (20)
2.2 How will you correct the deficiencies and/or excesses found in this soil?

Answers

Soil nutrients are minerals which are required for growth either small or relatively large quantities

What are soil minerals?

Soil minerals are the metallic and non-metallic nutrients found in the soil which are required by plants for growth.

Based on plants requirements, the major nutrients are nitrogen, phosphorus and potassium.

Plants also require other nutrients like copper, zinc, sulfur, iron, etc., in smaller quantities.

Based on the results of the soil test:

The deficiencies nutrients are copper and potassium The excess nutrients are phosphorus, sulfur, iron and zinc

The deficiencies and excesses can be corrected by selectively reducing the application of the excess soil nutrients and addition of the deficient nutrients.

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The Molar mass of silicon is 28.09 grams/mole

Calculate the number of atoms in a 92.8 mg sample of silicon
Write your answer in scientific notation using three significant figures

Answers

1. Set up conversion factors.
92.8 mg x 1 g/10^3 mg x 1 mol/28.09 g x 6.022x10^23 atoms/1 mol

2. Cancel units.
1.99 x 10^21 Si atoms

What is the electro negativity difference for CO ?

Answers

The electronegativity of carbon is about 2.5 , and that of oxygen is about 3.5 , and naturally, (3.5−2.5=1.0)>0 . So, the electronegativity difference is greater for a C−O single bond than a F−F single bond.

Answer:

1.0

I hope my answer helps you.

If the length of a string increases 2 times but the mass of the string remains constant, the new density of the string will equal the original density multiplied by what factor?

Answers

If the length of a string increases 2 times but the mass of the string remains constant, the original density  will be multiplied by a factor  mathematically given as

v=1.414 times

Will the new density of the string equal the original density multiplied by what factor?

Generally, the equation for the  volume is mathematically given as

v = sqt(TL/m)

Where

density = mass/length

Therefore

[tex]v2/v1 = \sqrt{L2/L1}[/tex]

[tex]v2/v1 = \sqrt{2}[/tex]

In conclusion,v ratio will give us

v=1.414 times

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1. Which statement is always true when nuclear fusion occurs?

A. The number of protons in the resulting nucleus is less than in each starting nucleus.

B. The number of protons in the resulting nucleus is double that of a starting nucleus.

C. The combined number of portions and neutrons remains constant.

D. The total number of protons and neutrons in each nucleus remains constant.



2. Use the equation to answer the question.
2H + 2H—> 4H + energy
1 1 2

Which statement best describes the mass numbers of the atoms in the reaction?

A. There are two atoms with mass numbers of 2.

B. There is one atom with
a mass number of 2.

C. There are two atoms with mass numbers of 1.

D. There is one atom with a mass number of 1.



3. How is the mass number calculated for an atom involved in nuclear fusion?

A. It is the number of electrons.

B. It is the number of protons plus electrons.

C. It is the number of neutrons.

D. It is the number of protons plus neutrons.



4. Which change will always take place in nuclear fusion?

A. The total charge will be less than before the fusion took place.

B. The nucleus with a smaller mass than any of the reactants will be produced.

C. A nucleus with a greater mass than any of the reactants will be produced.

D. The total charge will be greater than before the fusion took place.



5. Which statement best summarizes the way the sun produces energy?

A. Combustion reactions in the sun release large amounts of chemical energy.

B. Fusion reactions in the sun release large amounts of chemical energy.

C. Combustion reactions in the sun convert small amounts of matter into large amounts of energy.

D. Fusion reactions in the sun convert small amounts of matter into large amounts of energy.

Answers

Answer:

1. The combined number of protons and neutrons remains constant.

2. There are two atoms with mass numbers of 2.

3. It is the number of protons plus neutrons.

4. A nucleus with a greater mass than any of the reactants will be produced.

5. Fusion reactions in the sun convert small amounts of matter into large amounts of energy.

What is the maximum concentration of Ag⁺ that can be added to a 0.00620 M solution of Na₂CO₃ before a precipitate will form? (Ksp for Ag₂CO₃ is 8.10 × 10⁻¹²)

Answers

For the maximum concentration of Ag+ is mathematically given as

x = 3.6×10−5

What is the maximum concentration of Ag⁺ that can be added to a 0.00620 M solution of Na₂CO₃ before a precipitate will form?

Generally, the Ksp equation for this reaction is mathematically given as

[tex]K_{sp}=[Ag^+]^2[CO_3^{2-}][/tex]

[CO3^2-]=0.00620M

Ksp =[Ag+}^2 x 0.00620

8.1x10^-12 = x^2 x 0.00620

x = [tex]\sqrt{8.1*10^{-12}/0.00620}[/tex]

x = 3.6×10−5

In conclusion, the maximum concentration of Ag⁺ is

x = 3.6×10−5

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What is the theoretical yield of sodium chloride for the reaction of 55.0 g of Na
D
with 67.2 g Cl2?
g
a. 1.40 x 102 g NaCl
b. 111 g NaCl
c. 55.4 g NaCl
222 g NaCl

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Physical chemistry, and Stochiometry.

So we balance the equation as,

2Na + Cl2 ===> 2NaCl

The required reaction is as:

2Na+ Cl2 = 2NaCl

2 moles Na = 2×23 g = 46g,1 mole Cl2 = 2×35.5g=71g

Now,71g Cl2 reacts with 46g Na,

Therefore, 67.2g Cl2 reacts with 46×67.2/71= 43.54g Name

The rest Na = (55–43.54)g=11.46g

That means Cl2 is a limiting reactant.

Again,2 moles NaCl=2(23+35.5)g=117g

Then,71g Cl2 produce 117g NaCl

Therefore,67.2g Cl2 produce 117×67.2/71 = 110.74g NaCl

hence the correct option is, b.) 111 g NaCl

Its B hope it helps:))
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