Dereck is looking at how electrically charged objects can attract other objects without touching. What control would he need to use?

An electrically charged object
An uncharged object
A positively charged object
A negatively charged object

Answer:

The correct answer is B. Energy cannot be created or destroyed.

The law of conservation of energy states that energy cannot be created or destroyed, but it can be transformed from one form to another. This means that in any physical process, the total amount of energy in a system remains constant. Energy can be converted from one form to another, such as from kinetic energy to potential energy or from electrical energy to light energy, but the total amount of energy in the system remains the same.

The velocity of the arrow when it hits the ground, given that the arrow was shot from the roof of a building 30 m high at 5 m/s is 24.5 m/s

First, we shall obtain the maximum height of the arrow from the top of the roof. Details below:

H = u²Sine²θ / 2g

H = [5² × (Sine 45)²] / (2 × 9.8)

H = 0.64 m

Next, we shall obtain the maximum height from the ground. Details below:

Maximum height from ground = Maximum height from root + Height of building

Maximum height from ground = 0.64 + 30

Maximum height from ground = 30.64 m

Next, we shall obtain the time take to reach the ground.

h = ½gt²

30.64 = ½ × 9.8 × t²

30.64 = 4.9 × t²

Divide both side by 4.9

t² = 30.64 / 4.9

Take the square root of both side

t = √(30.64 / 4.9)

t = 2.5 s

Finally, we shall obtain the velocity with which the arrow hits the ground. This is illustrated below:

v = gt

v = 9.8 × 2.5

v = 24.5 m/s

Thus, we can conclude that the velocity the arrow used in hitting the ground is 24.5 m/s

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There are a few formulas you can use to calculate final velocity, depending on the information given:

If given initial velocity, acceleration, and time, use:

vfinal = vinitial + at

Where:

vfinal is the final velocity

vinitial is the initial velocity

a is the acceleration

t is the time

If given initial velocity, change in velocity, and time, use:

vfinal = vinitial + Δv

Where:

Δv is the change in velocity

If given displacement, initial velocity, acceleration, and time, use:

vfinal = √(vinitial2 + 2aΔx)

Where:

Δx is the displacement

If given initial and final displacements and time, use:

vfinal = Δx/t

So in summary, to calculate final velocity you need:

Initial velocity + Acceleration + Time

OR

Initial velocity + Change in velocity

OR

Initial velocity + Acceleration + Displacement + Time

OR

Initial/final displacement + Time

Then you can use the appropriate formula, plug in the known values, and solve for final velocity (vfinal).

Hope these formulas and explanations help! Let me know if you have any other questions.

a negative charge Q1 = -5.50 is located at a point x1=-6.00 abd. positive charge Q2= 6.50 uc is located at point x2= 4.00 m then the magnitude and direction of the electric force between the charges is 3.56 mN and from left to right.

Coulomb's Law, which says that the electric force between two charges is directly proportional to the product of their charges and inversely proportional to the square of their distance, may be used to determine the size and direction of the electric force between the provided charges.

Given:

Q1 = -5.50 μC (negative charge)

Q2 = 6.50 μC (positive charge)

x1 = -6.00 m (position of Q1)

x2 = 4.00 m (position of Q2)

distance between the charges is

Distance (d) = |x2 - x1| = |4.00 m - (-6.00 m)| = 10.00 m

electric force (F) by using Coulomb's Law:

F = (k * |Q1| * |Q2|) / (d^2)

Where k is the electrostatic constant, which is equal to 9 × 10^9 N·m^2/C^2.

Substituting the given values:

F = (9 × 10⁹ N·m²/C² * |(-5.50 μC)| * |6.50 μC|) / (10.00 m)^2

F ≈ 3.2 mN

The magnitude of the electric force between the charges is approximately 3.56 mN.

Since Q1 is negative and Q2 is positive, the electric force acts in the direction from Q1 towards Q2. Therefore, the direction of the electric force is from left to right.

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The activation energy for the diffusion process of Al in Al2O3 is approximately 225,744 J/mol.

To calculate the activation energy for the diffusion process of Al in Al2O3, we can use the Arrhenius equation:

D = D0 * exp(-Q/RT)

where D is the diffusion coefficient, D0 is a constant, Q is the activation energy, R is the gas constant, and T is the absolute temperature.

Taking the natural logarithm of both sides, we get:

ln(D/D0) = -Q/RT

We can then use the given diffusion coefficients and temperatures to obtain two equations:

ln(D1/D0) = -Q/RT1

ln(D2/D0) = -Q/RT2

where D1 and T1 are the diffusion coefficient and temperature at 1000C, and D2 and T2 are the diffusion coefficient and temperature at 1500C.

Taking the ratio of the two equations, we get:

ln(D2/D1) = Q/R * (1/T1 - 1/T2)

Solving for Q, we get:

Q = -R * ln(D2/D1) / (1/T1 - 1/T2)

Plugging in the given values, we get:

Q = -8.314 J/mol-K * ln(2.48 x 10^-14 m^2/s / 7.48 x 10^-23 m^2/s) / (1/1273 K - 1/1773 K)

Q ≈ 225,744 J/mol

Therefore, the activation energy for the diffusion process of Al in Al2O3 is approximately 225,744 J/mol.

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Answer: [tex]f=3.125 Hz[/tex]

Explanation:

frequency = 1 / period

[tex]f=\frac{1}{T}[/tex]

[tex]f=\frac{1}{0.32}=3.125Hz[/tex]

Therefore, the frequency of the wave is 3.125 Hz.

The glycerin index predicts the way certain foods affect​ the blood glucose.

The glycemic index is a numerical scale that ranks carbohydrates in foods based on how they affect blood glucose levels compared to a reference food, typically pure glucose  or white bread. Foods with a high glycerin index cause rapid increase in blood sugar levels, while foods with a low glycerin index result in a slower and more gradual increase.

The glycerin index is often used as a tool for managing blood sugar levels, particularly in individuals with diabetes. Foods with a lower glycerin index are generally considered healthier as they provide more sustained energy and have a lesser impact on blood sugar levels.

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If the coefficient of kinetic friction between Josh's sled and the snow is 0.08, he slides 6.97 meter from the base of the hill.

To find how far from the base of the hill Josh's sled ends up, we need to first find the speed of the sled at the bottom of the hill using the conservation of energy principle,

mgh = (1/2)mv², plugging in the values given in the problem, we get,

m(9.81 m/s²)(3.5 m) = (1/2)mv²

Simplifying and solving for v, we get,

v = √(2gh)

v = √(2(9.81 m/s²)(3.5 m))

v = 8.29 m/s

Now we can use the kinematic equation,

d = vt - (1/2)at, to find how far the sled slides on the horizontal patch of snow before coming to a stop, where d is the distance traveled, v is the initial velocity (8.29 m/s), a is the acceleration due to friction (-μg), and t is the time it takes to come to a stop (which we can find by setting v = 0 and solving for t),

0 = 8.29 m/s - μg*t

t = 8.29 m/s / μg

Substituting this value of t back into the kinematic equation, we get,

d = (8.29)(8.29/μg) - (1/2)μg(8.29/μg)²

d = 6.97 m

Therefore, Josh's sled ends up 6.97 meters from the base of the hill.

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1. (a) Peixotto Media's charter authorizes the sale of 35,000,000 shares of stock, but it will begin by offering 20,000 of them at a par value of $4 per share. John William currently has $500 that he would like to invest in this company's stocks. John William will be able to purchase 125 shares of Peixotto Media stock.

(b) Privileges John William will have as a shareholder in Peixotto Media are Voting Rights, Dividend Payments, Capital Appreciation etc.

(a) In order to calculate how much stock John William will be able to purchase, we need to determine how many shares he can buy with his available funds. The par value per share is $4, so to find the number of shares he can buy, we divide his investment amount ($500) by the par value per share ($4):

Number of shares = Investment amount / Par value per share

Number of shares = $500 / $4 = 125 shares

Therefore, John William will be able to purchase 125 shares of Peixotto Media stock.

(b) As a shareholder in Peixotto Media, John William will have certain privileges. These privileges typically include:

Voting Rights: Shareholders are generally entitled to vote on matters that affect the company, such as electing the board of directors or approving major corporate decisions.

Dividend Payments: If the company declares dividends, shareholders may receive a portion of the company's profits in the form of dividend payments.

Capital Appreciation: If the value of the company's stock increases, shareholders can benefit from capital appreciation by selling their shares at a higher price than what they initially paid.

Information Rights: Shareholders have the right to access certain company information, such as financial reports or annual statements, to stay informed about the company's performance.

Liquidation Preference: In the event of the company's liquidation or bankruptcy, shareholders may have a claim on the company's assets after other obligations are fulfilled.

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The scientific study of physics focuses on the underlying concepts that underpin the laws of nature. It investigates how matter, energy, space, and time behave and interact. Physics' fundamental goal is to comprehend the underlying laws and forces that create our universe.

Physics has developed theories and rules to explain a wide variety of events, from the motion of celestial bodies to the behaviour of subatomic particles, via meticulous observation, investigation, and mathematical analysis.

These theories offer a framework for comprehending and forecasting the behaviour of physical systems, such as Newton's laws of motion and Einstein's theory of relativity.

From the tiniest particles to the biggest cosmic structures, physics has enhanced our understanding of the world and sparked a host of technological advances.

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Gore argues that the combination of population growth, a globalized economy, and technological impact is driving our civilization towards a collision with the Earth, jeopardizing the well-being of future generations.

1. Population Growth: Gore argues that the rapid growth of the global population is straining the Earth's resources and ecosystems. As the population increases, so does the demand for food, water, energy, and other resources, leading to overconsumption and environmental degradation. This places a significant burden on the planet's capacity to sustain life and maintain a healthy balance.

2. Globalized Economy: The expansion of the globalized economy has resulted in increased production, consumption, and trade on a massive scale. While this has brought economic benefits and improved living standards for many, it has also contributed to environmental problems. The pursuit of economic growth often prioritizes short-term profits over long-term sustainability, leading to resource depletion, pollution, and climate change.

3. Technological Impact: Advances in technology have brought numerous benefits to society, but they have also come with unintended consequences. Industrial processes, transportation systems, and energy production have increasingly relied on fossil fuels, leading to greenhouse gas emissions and climate change. Additionally, technological advancements have accelerated the extraction and exploitation of natural resources, further straining the planet's ecosystems.

He advocates for sustainable solutions that prioritize environmental conservation, renewable energy, and responsible resource management to mitigate these challenges.

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The best example of Newton's third law of motion is, When a passenger stepped from a boat to the shore, the boat moved away from the shore. Thus, option C is correct.

Sir Issac Newton gives three laws of motion. The first law states that an object remains at rest or in continuous motion unless an external force acted on it. The second law stated that the force is directly proportional to the acceleration of the object. Newton's third law states that, for every action, there is an equal and opposite reaction.

From the given, Newton's third law is applicable, When a passenger stepped from a boat to the shore, the boat moved away from the shore. This shows the action and reaction of the boat and shore.

Thus, the ideal solution is option C.

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A parallel circuit can be modelled by connecting the components parallel.

A parallel circuit is a form of electrical circuit in which the components are linked in parallel to one another, each having a separate channel for current flow and being directly connected to the power source. The circuit must first be schematically represented, with the power supply and each component linked in parallel. Next, the total resistance the total current in the circuit by using Ohm's Law must be calculated.

Additionally, it is necessary to confirm that the total current entering the circuit equals the total current leaving the circuit. In a parallel circuit, the total current passing through all of the components equals the current entering the circuit. The voltage drop between each component must then be once more computed using Ohm's Law.

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Approximately 5.88 grams of steam will pass into the calorimeter to raise the temperature of the system from 0°C to 30°C, assuming no heat loss to the surroundings.

To calculate the mass of steam that will pass into the calorimeter, we need to consider the heat exchange that occurs during the process.

First, we need to determine the heat required to raise the temperature of the water and ice from 0°C to 30°C. We can use the specific heat capacity (c) of water to calculate this:

Heat required for water: Q_water = m_water * c_water * ΔT_water

Where:

m_water = mass of water

c_water = specific heat capacity of water

ΔT_water = change in temperature of water

Given:

m_water = 80 g

c_water = 4.18 J/g°C (specific heat capacity of water)

ΔT_water = (30°C - 0°C) = 30°C

Q_water = 80 g * 4.18 J/g°C * 30°C = 9972 J

Next, we need to consider the heat required to melt the ice at 0°C into water at 0°C. This can be calculated using the heat of fusion (ΔH_fus) of ice:

Heat required for ice: Q_ice = m_ice * ΔH_fus

Where:

m_ice = mass of ice

ΔH_fus = heat of fusion of ice (334 J/g)

Given:

m_ice = 10 g

ΔH_fus = 334 J/g

Q_ice = 10 g * 334 J/g = 3340 J

Now, let's calculate the total heat required:

Total heat required = Q_water + Q_ice

Total heat required = 9972 J + 3340 J = 13312 J

Since we neglect heat loss to the surroundings, this total heat is equal to the heat gained by the steam when it condenses:

Heat gained by steam = m_steam * ΔH_vap

Where:

m_steam = mass of steam

ΔH_vap = heat of vaporization of steam (2260 J/g)

Given:

ΔH_vap = 2260 J/g

Substituting the known values into the equation, we can solve for m_steam:

13312 J = m_steam * 2260 J/g

m_steam = 13312 J / 2260 J/g ≈ 5.88 g

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The Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

option D.

The Falcon 9 rocket, is developed by SpaceX, and it holds  a significant importance in today's space exploration world due to several key features and achievements, and some of the importance include the following;

From the given options, we can conclude that the Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

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Answer:

to prevent food spoilage until it can be consumed

Explanation:

 Gardens often produce too much food at one time—more than can be eaten before spoilage sets in. Preserving food also offers the opportunity to have a wide variety of foods year-round. It's economic.

Answer:

Charged

Explanation:

When an atoms loses or gains electrons they become charged(ion)

When an atom loses electrons it becomes positively charged and it is called a Cation

When an atom gains electrons it becomes negatively charged and it is called an Anion

Answer:

[tex]W_{by}=9.00 \times 10^4 \ J\\\\W_{on}=-9.00 \times 10^4 \ J[/tex]

Option (c) is correct.

Explanation:

[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Work done on/by a gas:}}\\W_{by}=P \Delta V \ or \ \int\limits^{V_f}_{V_0} {P} \, dV \\W_{on}=-P\Delta V \ or \ -\int\limits^{V_f}_{V_0} {P} \, dV \end{array}\right }[/tex]

Given:

[tex]P=1.8 \times 10^5 \ Pa\\\\V_0=1.2 \ m^3\\\\V_f=1.7 \ m^3[/tex]

Find:

[tex]W_{by}=?? \ J\\\\W_{on}=?? \ J[/tex]

(1) - Calculating the change in volume

[tex]\Delta V= V_f-V_0\\\\\Longrightarrow \Delta V=1.7-1.2\\\\\therefore \boxed{\Delta V=0.5 \ m^3}[/tex]

(2) - Calculating the work done by the gas

[tex]W_{by}=P \Delta V\\\\\Longrightarrow W_{by}=(1.8 \times 10^5)(0.5)\\\\\therefore \boxed{\boxed{W_{by}=9.00 \times 10^4 \ J}}[/tex]

(3) - Calculating the work done on the gas

[tex]W_{on}=-P \Delta V\\\\\Longrightarrow W_{on}=-(1.8 \times 10^5)(0.5)\\\\\therefore \boxed{\boxed{W_{on}=-9.00 \times 10^4 \ J}}[/tex]

Options (a) and (d) can be eliminated. Option (b) can be eliminated since there is no negative in front of the answer. This leaves the correct answer being option (c).

The shape of a line graph displaying temperature change over time before boiling is typically linear and increasing.

In a line graph showing the temperature change over time of a liquid before it starts to boil, the shape is generally linear and increasing.

This is because as heat is applied to the liquid, its temperature increases at a consistent rate.

During this phase, the heat energy is used to increase the kinetic energy of the molecules in the liquid, causing a rise in temperature.

Once the boiling point is reached, the graph may show a plateau, as the energy is then used to change the liquid's state rather than further increase the temperature.

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The CMB radiation's current temperature of 2.7 Kelvin is a result of the cooling and redshifting caused by the expansion of the Universe, which has been slowing down over time due to gravity.

The Cosmic Microwave Background (CMB) radiation is a remnant of the early hot and dense Universe. About 380,000 years after the Big Bang, the Universe cooled enough to allow the formation of neutral atoms, which made it transparent to radiation. This released the CMB radiation, which has been traveling through the Universe ever since, and its temperature has been cooling due to the expansion of the Universe. The CMB radiation is currently observed at a temperature of about 2.7 Kelvin, much cooler than the early Universe's temperature of 3000 Kelvin. This cooling is due to the expansion of the Universe, which causes the radiation to redshift to lower energies and longer wavelengths. This effect is known as the cosmological redshift. Moreover, the expansion of the Universe is not constant, but rather it is slowing down due to the gravitational pull of matter. This means that the early Universe's rate of expansion was faster than it is today, causing the CMB radiation to cool more rapidly in the past.

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The observation that electromagnetic radiation with energy above a certain value can eject electrons out of a metal is a piece of evidence that they have particle-like properties.

The observation that electromagnetic radiation with energy above a certain value can eject electrons out of a metal is a piece of evidence that they have particle-like properties.

This observation that electromagnetic radiation behaves like particles is known as the photoelectric effect.

It provides evidence that electromagnetic radiation exhibits particle-like properties. When EMR with sufficient energy (above a certain threshold) interacts with a metal surface, it can cause the ejection of electrons from the metal.

This behavior indicates that EMR behaves as discrete packets of energy called photons, which transfer their energy to the electrons and cause their release. The photoelectric effect supports the particle nature of EMR and is a fundamental concept in the field of quantum mechanics.

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The position of their center of mass is also shown. the square cuboids is the most stable. Hence option B is correct.

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid is short for "like a cube". A cuboid is similar to a cube in that a cuboid may become a cube by varying the lengths of the edges or the angles between the faces.

The square cuboid has its center of mass on the center of square, the masses are uniformly distributed about it.

Hence option B is correct.

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Our intrepid hero has done 2332 kJ of work pushing the crate on the frictionless surface of the newly discovered planet.

The work done by the space traveler can be determined utilizing the recipe W = F x d, where W is work, F is power, and d is distance. To find the power, we can utilize the recipe F = m x a, where m is mass and an is speed increase. Connecting the given qualities, we get F = 220 kg x 2 m/s^2 = 440 N.

Presently we can compute the work done by increasing the power by the distance: W = 440 N x 5.3 km = 2332 kJ. Accordingly, our fearless legend has done 2332 kJ of work pushing the container on the frictionless surface of the newfound planet.

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The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.

Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.

Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.

Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.

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The amount of acetone that was spilt is around 0.36 liters, or 360 milliliters.

To solve this problem, use the formula for volumetric thermal expansion:

ΔV = V₀βΔT

Where:

ΔV = change in volume

V₀ = initial volume

β = coefficient of volumetric expansion

ΔT = change in temperature

Also use the formula for linear thermal expansion to find the change in length of the container:

ΔL = L₀αΔT

Where:

ΔL = change in length

L₀ = initial length

α = coefficient of linear expansion

ΔT = change in temperature

Initial length can be calculated as follows:

V = L³ ⇒ L = ∛V = ∛6 L ≈ 1.82 meters

Now calculate the change in length of the container and the change in volume of acetone:

ΔL = L₀αΔT = (1.82 m)(10⁻⁵ °C⁻¹)(40 °C) ≈ 0.00073 meters

ΔV = V₀βΔT = (6 liters)(1.5 x 10⁻³ °C⁻¹)(40 °C) ≈ 0.36 liters

Since the acetone spills out of the container, its final volume is equal to the initial volume minus the change in volume:

Vf = Vi - ΔV = 6 L - 0.36 L = 5.64 L

Therefore, the volume of spilled acetone is approximately 0.36 liters or 360 milliliters.

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The average speed of the campers down the river was 5 miles per hour.

Total distance traveled by the campers = 25 miles

Total time taken by the campers = 5 hours

Speed is defined as the rate of change in distance or altitude reached. It is a time-based quantity. In the given question, a camper's average speed can be calculated by dividing the total distance travelled by the time taken.

Calculating the average speed of the campers -

Average speed = Total distance / Time taken

Substituting the values -

= 25 miles / 5 hours

= 5

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the physics of a domino chain shows how momentum and kinetic energy can combine to produce an amazing display of dominoes falling.

First of all, momentum is a vector that denotes an object's mass and speed. When a domino chain is pushed over, the initial domino that was knocked over transfers momentum to the next domino, which then transfers momentum to the next, and so on. Each domino does not have to travel at the same pace as the others as long as they are in time with one another since the group of dominoes offers a coordinated transfer of momentum.

The second definition of kinetic energy is the energy that an item has as a result of motion. Kinetic energy increases each domino's speed and the power necessary to topple the subsequent domino in a chain of dominoes as momentum is transferred from one domino to the next. The largest domino, which frequently topples onto a designated catch or platform that intensifies the effect for spectators, is where the chain's greatest amount of kinetic energy is stored when it reaches its conclusion.

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1. The substance equation for water is [tex]H_2O[/tex].

2. The compound name for table salt is sodium chloride [tex](NaCl)[/tex].

3. The synthetic equation for carbon dioxide is [tex]CO_2[/tex].

4. The substance name for baking soft drink is sodium bicarbonate [tex](NaHCO_3)[/tex].

5.  The substance recipe for methane is [tex]CH_4[/tex].

6. The compound name for vinegar is acidic corrosive [tex](CH_3COOH)[/tex]

7.  The compound equation for smelling salts is [tex]NH_3[/tex].

8. The compound name for blanch is sodium hypochlorite [tex](NaClO)[/tex].

9.  The synthetic equation for hydrogen peroxide is [tex]H_2O_2[/tex].

10. The synthetic name for rust is iron oxide [tex](Fe_2O_3)[/tex].

11.  The compound recipe for sodium hydroxide is [tex]NaOH[/tex].

12. The substance name for lye is sodium hydroxide [tex](NaOH)[/tex].

13. The synthetic equation for sulfuric corrosive is [tex]H_2SO_4[/tex].

14. The compound name for gypsum is calcium sulfate dihydrate [tex](CaSO_4.2H_2O)[/tex].

15. The substance equation for table sugar is [tex]C_1_2H_2_2O_1_1[/tex].

16. The synthetic name for anti-inflamatory medicine is acetylsalicylic corrosive [tex](C_9H_8O_4)[/tex].

17. The compound recipe for calcium carbonate is [tex]CaCO_3[/tex].

18. The substance name for baking powder is a combination of sodium bicarbonate [tex](NaHCO_3)[/tex] and an acidic fixing like cream of tartar [tex](KC_4H_5O_6)[/tex].

19. The synthetic equation for sodium chloride is [tex]NaCl[/tex].

20. The substance name for hydrogen gas is [tex]H_2[/tex].

The questions are:

1. What is the synthetic recipe for water?

2. What is the substance name for table salt?

3. What is the compound equation for carbon dioxide?

4. What is the synthetic name for baking pop?

5. What is the substance equation for methane?

6. What is the synthetic name for vinegar?

7. What is the substance equation for alkali?

8. What is the substance name for blanch?

9. What is the compound recipe for hydrogen peroxide?

10. What is the synthetic name for rust?

11. What is the synthetic equation for sodium hydroxide?

12. What is the synthetic name for lye?

13. What is the substance recipe for sulfuric corrosive?

14. What is the substance name for gypsum?

15. What is the synthetic recipe for table sugar?

16. What is the substance name for anti-inflamatory medicine?

17. What is the synthetic equation for calcium carbonate?

18. What is the synthetic name for baking powder?

19. What is the substance equation for sodium chloride?

20. What is the substance name for hydrogen gas?

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Thermal expansion is defined as the property of metals to expand when they are heated.

The metal expands when heated because the atoms move apart more.

An excellent method to demonstrate the concept of thermal expansion is using the bar and gauge experiment.

Both the diameter and the length are precisely comparable when both are at room temperature.

The bar will not fit within the gauge once it has been heated and cooled. Similar to the last instance; the bar will no longer fit flush inside the gauge if the gauge is heated and the bar is cooled.

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