a tuning fork with a frequency of 200 hz will resonate if a sound wave incident on it has a frequency of

Answers

Answer 1

A tuning fork with a frequency of 200 Hz will resonate when a sound wave incident on it has a frequency that matches its natural frequency.

This is because the tuning fork is designed to vibrate at a specific frequency, which is determined by its shape and size. When the tuning fork is struck, it begins to vibrate at its natural frequency, producing a sound wave that has a frequency of 200 Hz. When a sound wave with a frequency of 200 Hz strikes the tuning fork, it causes the tuning fork to vibrate at its natural frequency, leading to resonance.

It is important to note that the tuning fork will not resonate with sound waves that have a frequency different from its natural frequency of 200 Hz. If a sound wave with a different frequency strikes the tuning fork, the tuning fork will not vibrate at its natural frequency and resonance will not occur.

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Related Questions

why freezer is made in the upper part of refrigrator

Answers

Question

why freezer is made in the upper part of refrigrator

✒ Answer

the cold air produced from it is denser than the warmer air in the bottom

Explaination

Freezer is normally provided at the top of the refrigerator, because density of the cold air is high compared to the hot air. In a refrigerator the air contacts with the cooling coil and gets cooling.Because of the high density the cold air gets down and the warm air/hot air moves upward and gets cooling from the cooling coil/evaporator coil. This process is repeated. If the Freezer is provided at the bottom place of the refrigerator, the cold air can't to move full area of the refrigerator. So the freezer is normally provided at the top at the refrigerator

Verify that each of the following expressions is a total differential, and find its primitive function: pini soclure gniwolloi adi soolava +1 (1) (x² + 2xy-y²)dx + (x²-2xy - y²)dy; (2) (2xcosy - y² sinx) dx + (2ycosx - x² siny) dy. 108

Answers

A total differential is an equation in which all the differentials can be integrated independently of each other. To verify that the given expressions are total differentials, we must check if they meet the conditions of being an exact differential function.The given expression is not an exact differential function.

According to the exact differential function, an expression dQ should be equal to the sum of two partial derivatives of the same function. i.e, dQ= dP+ dRA primitive function of an expression is obtained by integrating the given expression partially. Let's solve the given expressions, one by one:

1. Expression : (x² + 2xy-y²)dx + (x²-2xy - y²)dy. Now, we need to find the partial derivatives of the above function with respect to x and y.∂P/∂x = x² + 2xy - y²  ∂Q/∂y = x² - 2xy - y².

On verifying, we get:∂P/∂x = ∂Q/∂y.

Hence, the given expression is an exact differential function.

To find the primitive function, we need to integrate any one of the partial derivatives with respect to x and other with respect to y.

∴ P(x,y) = ∫(x² + 2xy - y²)dx = x³/3 + x²y - xy² + C1 and ∴ Q(x,y) = ∫(x² - 2xy - y²)dy = x²y - y³/3 + C2.

Therefore, the primitive function of the expression is: P(x,y) = Q(x,y) = x³/3 + x²y - xy² - y³/3 + C2.

Expression : (2xcosy - y² sinx) dx + (2ycosx - x² siny) dy. Now, we need to find the partial derivatives of the above function with respect to x and y.∂P/∂x = 2cosy  ∂Q/∂y = 2ycosx.

On verifying, we get:∂P/∂x ≠ ∂Q/∂y .

Hence, the given expression is not an exact differential function.

Therefore, there does not exist a primitive function for the given expression.

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PLZ ANSWER FOR 25 POINTS AND BRAINLIEST

PLZ ANSWER FOR 25 POINTS AND BRAINLIEST
PLZ ANSWER FOR 25 POINTS AND BRAINLIEST
PLZ ANSWER FOR 25 POINTS AND BRAINLIEST
PLZ ANSWER FOR 25 POINTS AND BRAINLIEST

Answers

Answer:

the answer is all of the above

Explanation:

brainliest please

When your hand blocks your view of the lamp, where does the shadow of your
hand fall?

Answers

Answer:

in front of you

Explanation:

Your hand blocks the light of lamp , causing a shadow to form in front of you

if the 50 kg objects slows down to a velocity of 1 m/s how much kinetic energy does it have?

Answers

Answer: 25

Explanation:

The kinetic energy of the object moving at the given mass and velocity is 25 J.

The given parameters;

mass of the object, m = 50 kgvelocity of the object, v = 1 m/s

The kinetic energy of the object moving at the given mass and velocity is calculated as follows;

K.E = ¹/₂mv²

K.E = ¹/₂ x 50 x 1²

K.E = 25 J

Thus, the kinetic energy of the object moving at the given mass and velocity is 25 J.

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How are velocity and force similar?

Answers

Answer: Force

In physical science, a force is something that acts on an object by pushing or pulling it. If the force is strong enough, it changes the position or shape of the object. Forces such as friction, air resistance and simple physical contact touch the object directly, while forces like gravity, magnetism and electrostatics act on the object from a distance. Force is a vector quantity, meaning you can measure both its strength and its direction. The formula to find the measure of a force is force = mass times acceleration, written as f = ma.

Velocity

The faster something is moving, the higher its velocity.

When an object is moving, one way to measure how fast it is moving is by finding its velocity, which is the rate at which it is changing position. Like force, velocity is a vector quantity, so it includes direction. To find the average velocity of an object, divide the change in its position by the time the movement took, and state its direction. For example, if a car is driving north and in one hour's time it travels 30 miles, its velocity is 30 miles per hour, north.

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Doctors use radioactive sources as tracers for medical imaging. The table below shows the properties
of some radioactive sources. Which source would be the best to use for a tracer that must be injected
into the body?
Enter your answer as a number
Radioactive source
Type(s) of
radiation emitted
Half-life
1
gamma
7 weeks
2
beta
3 days
12 minutes
3
alpha and gamma
4
gamma
23 minutes
5
alpha
4 hours

Doctors use radioactive sources as tracers for medical imaging. The table below shows the propertiesof

Answers

Answer:

Technetium.

Explanation:

Tc is a very versatile radioisotope, and is the most commonly used radioisotope tracer in medicine. It is easy to produce in a technetium-99m generator, by decay of 99Mo. ... Tc decays by gamma emission, with a half-life: 6.01 hours.

Answer:

its the fourth one

[Ans. 2000 kg /m] f. If the mass of a substance having its volume 80 cm is 68 g. Calculate the density of the substance. Ans. 0.85 g/cm3]​

Answers

Mass = 68 gVolume = 80 cmWe know,\(density \: \: = \frac{mass}{volume} \)Therefore, the density of the substance\( = \frac{68}{80} \: \: g \: \: \: {cm}^{ - 3} \\ = \frac{17}{20} \: \: g \: \: \: {cm}^{ - 3} \\ = 0.85\: \: g \: \: \: {cm}^{ - 3}\)

Answer:

The density of the substance is

\(0.85\: \: g \: \: \: {cm}^{ - 3}\)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Exoplanet Doppler shifts At Suppose you are an astronomer getting ready to search for planets orbiting about distant stars. You are going to use the technique of searching for Doppler shifts in the spectral lines of stars. But you know that this is going to be a very difficult task. Accordingly, you are putting a good deal of thought into deciding which stars to study. You have two options: 1) study nearby stars, or 2) study faraway stars. You want to choose the option that will yield the biggest Doppler shifts. Which option do you choose? Why?

Answers

To yield the biggest Doppler shifts, it is advisable to choose the option of studying nearby stars. The Doppler shift is a phenomenon that occurs when an object emitting waves, such as light, is moving relative to an observer.

In the context of searching for exoplanets, astronomers look for variations in the spectral lines of stars caused by the gravitational pull of orbiting planets.

By studying nearby stars, astronomers can benefit from a closer proximity between the observer and the target star. When a star with an orbiting planet moves towards or away from Earth, the Doppler shift in its spectral lines becomes more pronounced. This effect is known as the radial velocity method, and it allows scientists to detect the presence of exoplanets by observing the shifts in the star's spectral lines caused by the planet's gravitational influence.

By focusing on nearby stars, the relative motion between the observer and the star is greater, resulting in larger Doppler shifts. This enhances the chances of detecting exoplanets and obtaining more accurate measurements of their orbital characteristics.

In contrast, studying faraway stars would result in smaller Doppler shifts since the relative motion between the observer and those stars is typically less significant. Therefore, to maximize the chances of detecting exoplanets through Doppler shifts, astronomers should prioritize studying nearby stars.

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WILL PICK BRAINLYEST AND GETS 25 POINTS

Justin is planning his science fair project. He wants to measure how oxygen levels affect the rate of photosynthesis in plants. Is this an example of a scientific investigation or an experiment?

A. An experiment because it tests a cause and effect relationship
B. An experiment because it does not ask a testable question
C. An investigation because it uses only observations
D. An investigation because there is a control group

Answers

Answer:

is: B. why ? u ask.... well u forgot one important factor when ansering that factor being that...... H'ES CRACKED AT FORTNITE MY GUY

i desereve bwainweist... JK LOL give it to the other guy.

The given one is an experiment because it tests a cause and effect relationship. The rate of photosynthesis is determined by measuring the concentration of carbon dioxide on an enclosed transparent chamber.

What is photosynthesis ?

Photosynthesis is a biochemical process by which green plants synthesis chemical energy with the aid of light energy. The photosynthetic reaction is  the combination of carbon dioxide and water to form oxygen molecule and glucose.

The photosynthetic reaction is given here:

\(\rm 6CO_{2} + 6H_{2}O \rightarrow C_{6}H_{12}O_{6} + 6O_{2}\)

Here, the oxygen gas is the product in the reaction. Hence, increase in the oxygen level will reverse the reaction and thus, rate of photosynthesis decreases.

The rate of photosynthesis is determined by the measurement of concentration of carbon dioxide within the closed transparent chamber in which the plant is placed. Hence, we are testing a cause and effect and it is a scientific experiment. Hence, option A is correct.

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A piece of zinc was lying outside and had a temperature of 26 degrees C. Later that day the sun came out and the temperature increased to 36 degrees C. If the piece of zinc is only 0. 15 kg, find the thermal energy. NOTE: Zinc has a specific heat of 380 J/kg degrees C). I need The Equation used and The Answer

Answers

Answer: 570 J

Explanation:

The amount of heat gained by the piece of zinc can be calulctaed using   ∆Q = mc∆T

=> ∆T = 36-26 = 10°C

m = 0.15 kg, s = 380J/kg/°C

=> ∆Q = 0.15 x 380 x 10

= 570J

The output voltage of a 100.W ideal transformer is 12.0 V and the input current is 20.0 A.a) What is the input voltage?b) What is the output current?c) What kind of transformer is it? (step up or step down)

Answers

ANSWER:

a) 5 V

b) 8.33 A

c) step-up transformer

STEP-BY-STEP EXPLANATION:

a)

To calculate the input voltage it would be:

\(\begin{gathered} V_{\text{ in}}=\frac{P}{I} \\ V_{\text{ in}}=\frac{100}{20}=5\text{ V} \end{gathered}\)

b)

To calculate the output current it would be:

\(\begin{gathered} I_{\text{out}}=\frac{P}{V} \\ I_{\text{out}}=\frac{100}{12}=8.33\text{ A} \end{gathered}\)

c)

We have to:

Step-up transformer increase the output voltage.

Step-down transformer reduces the output voltage.

In this case, the voltage goes from being 5 V to being 12 V, therefore the output voltage increases, which means that it would be a step-up transformer.

A solution is prepared by dissolving 17.75 g sulfuric acid, h2so4, in enough water to make 100.0 ml of solution. if the density of the solution is 1.094 g/ml, whatt is the mole fraction?

Answers

The solution of Sulfuric Acid (H2SO4) has the following mole fractions:

mole fraction (H2SO4)= 0.034mole fraction (H2O)= 0.966

To solve this problem the formula and the procedure that we have to use is:

n = m / MW = ∑ AWT mole fraction = moles of A component / total moles of solutionρ = m /v

Where:

m = massn = molesMW = molecular weightAWT = atomic weightρ = densityv = volume

Information about the problem:

m solute (H2SO4) = 17.75 gv(solution) = 100 mlρ (solution)= 1.094 g/mlAWT (H)= 1 g/molAWT (S) = 32 g/molAWT (O)= 16 g/molmole fraction(H2SO4) = ?mole fraction(H2O) = ?

We calculate the moles of the H2SO4 and of the H2O from the Pm:

MW = ∑ AWT

MW (H2SO4)= AWT (H) * 2 + AWT (S) + AWT (O) * 4

MW (H2SO4)= (1 g/mol * 2) + (32,064 g/mol) + (16 g/mol * 4)

MW (H2SO4)= 2 g/mol + 32 g/mol + 64 g/mol

MW (H2SO4)=  98 g/mol

MW (H2O)= AWT (H) * 2 + AWT (O)

MW (H2O)= (1 g/mol * 2) + (16 g/mol)

MW (H2O)= 2 g/mol + 16 g/mol

MW (H2O)=  18 g/mol

Having the Pm we calculate the moles of H2SO4:

n = m / MW

n(H2SO4) = m(H2SO4) / MW (H2SO4)

n(H2SO4) = 17.75 g / 98 g/mol

n(H2SO4) = 0.1811 mol

With the density and the volume of the solution we get the mass:

ρ(solution)= m(solution) /v(solution)

m(solution) = v(solution) * ρ(solution)

m(solution) = 100 ml * 1.094 g/ml

m(solution) = 109.4 g

Having the mass of the solution we calculate the mass of the water in the solution:

m(H2O) = m(solution) - m solute (H2SO4)

m(H2O) = 109.4 g - 17.75 g

m(H2O) = 91.65 g

We calculate the moles of H2O:

n = m / MW

n(H2O) = m(H2O) / MW (H2O)

n(H2O) = 91.65 g / 18 g/mol

n(H2O) = 5.092  mol

We calculate the total moles of solution:

total moles of solution = n(H2SO4) + n(H2O)

total moles of solution = 0.1811 mol + 5.092  mol

total moles of solution = 5.2731 mol

With the moles of solution we can calculate the mole fraction of each component:

mole fraction (H2SO4)= moles of (H2SO4) / total moles of solution

mole fraction (H2SO4)= 0.1811 mol / 5.2731 mol

mole fraction (H2SO4)= 0.034

mole fraction (H2O)= moles of (H2O) / total moles of solution

mole fraction (H2O)= 5.092  mol / 5.2731 mol

mole fraction (H2O)= 0.966

What is a solution?

In chemistry a solution is known as a homogeneous mixture of two or more components called:

SolventSolute

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A solution is prepared by dissolving 17.75 g sulfuric acid, h2so4, in enough water to make 100.0 ml of

two reactants X and Y , are combined and form a new substance with a mass of 375g. the mass of reactant X is 300 g. what is the mass of reactant Y?

Answers

Answer:

75g

Explanation:

Given parameters

Mass of product  = 375g

Mass of reactant X  = 300g

Unknown:

Mass of reactant Y  = ?

Solution:

To solve this problem, we need to understand the law of conservation of mass. The law states that "matter is neither created nor destroyed in a chemical reaction".

So;

      Mass of X + Mass of Y   =  Mass of product

            Mass of Y = Mass of product  - Mass of X

           Mass of Y  = 375  - 300  = 75g

Q4. A 5. 0-kg bowling ball rolls down a frictionless 2. 5 m tall ramp and strikes a


stationary mass at the bottom of the ramp in a pertectly elastic collision.


To What


height back up the ramp does the first bowling travel after the collision if


a) the stationary mass is also 5. 0 kg


b) the stationary mass is 10. 0 kg


c) the stationary mass is 500. 00kg

Answers

a) Height of 2.5 m if the stationary mass is also 5.0 kg. b) Height of 1.25 m if the stationary mass is 10.0 kg. c) The first bowling ball will not be able to travel back up the ramp if the stationary mass is 500.00 kg.

a) In a perfectly elastic collision, both momentum and kinetic energy are conserved. Since the stationary mass has the same mass as the first bowling ball, they will exchange velocities after the collision. The first bowling ball will reverse its direction and travel back up the ramp to the same height from which it started, which is 2.5 m.

b) If the stationary mass is 10.0 kg, the collision will result in a different outcome. After the collision, the first bowling ball will still reverse its direction, but it will not reach the same height as before. Using the conservation of momentum and kinetic energy, we can calculate that the first bowling ball will reach a height of 1.25 m.

c) If the stationary mass is 500.00 kg, the first bowling ball will not be able to travel back up the ramp after the collision. The large mass of the stationary object will significantly affect the outcome of the collision, preventing the first bowling ball from reaching any positive height.

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the air carbon arc cutting process requires compressed air in the range of ___ psi to the ___ psi.

Answers

The air carbon arc-cutting process requires compressed air in the range of approximately 80 psi to 100 psi. This cutting method utilizes an electric arc to generate heat, which melts the metal being cut, while the compressed air stream blows away the molten material, creating a clean and precise cut.

The pressure of the compressed air plays a crucial role in the effectiveness and quality of the cut.

It is important to maintain the appropriate pressure range (80-100 psi) for optimal cutting results. Insufficient air pressure may result in inadequate removal of molten material, leading to a poor-quality cut or even an incomplete cut. On the other hand, excessive air pressure can cause unnecessary wear on the cutting equipment, as well as create a wider kerf or excessive distortion in the workpiece.

The air carbon arc cutting process is suitable for cutting various types of metals, including steel, stainless steel, aluminum, and cast iron. This method is popular in various industries due to its high cutting speed, minimal heat-affected zone, and versatility in cutting various metal thicknesses. It is essential to select the appropriate cutting parameters, including air pressure, to achieve the best possible cutting results.

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Particle of mass 2 kg is attached to a string length of 6m. the particle is moving in a horizontal circle at an angle of 30 degrees to the vertical with angular velocity and tention. what is the radius of the circle?

Answers

The radius of the circle is equal to (Tension x 6 m) / 1,6200,000 kg x degrees^2

What is radius?

Radius is a straight line extending from the center of a circle or sphere to its circumference or surface. It is a term used in geometry and is measured in length. It is half of the diameter of a circle, and is sometimes referred to as the “radius of a circle”. It is used to measure curved lines, arcs, and circles. The radius of a circle is the same as the length of a line segment from the center of the circle to a point on its circumference.

The radius of the circle can be calculated using the formula:

Radius = (Tension x Length) / (Mass x Angular Velocity^2).

In this case, the radius would be:

Radius = (Tension x 6 m) / (2 kg x (angular velocity^2))

Radius = (Tension x 6 m) / (2 kg x (angular velocity x angular velocity))

Radius = (Tension x 6 m) / (2 kg x (angular velocity^2))

Radius = (Tension x 6 m) / (2 kg x (30 degrees x 30 degrees))

Radius = (Tension x 6 m) / (2 kg x (900 degrees^2))

Radius = (Tension x 6 m) / (2 kg x 810,000 degrees^2)

Radius = (Tension x 6 m) / 1,6200,000 kg x degrees^2

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Electrons with kinetic energy 10 ev are incident on a screen at a rate of 1016 electrons per second. The screen ranges from nm to 20 nm. The probability density for finding an electron at position on the screen is given by for 20 nm with 1 nm. 1)what is the value of the normalization constant ?

Answers

The value of the normalization constant for the given probability density function is A = 3.801 x 10^13 m^-1.

The probability density for finding an electron at position x on the screen is given by:

P(x) = Aexp(-2(x-x0)/w)

where A is the normalization constant, x0 is the center of the screen, w is the width of the screen.

To find the value of the normalization constant A, we need to integrate the probability density over the entire screen and set the result equal to 1, since the probability of finding an electron somewhere on the screen must be equal to 1.

The screen ranges from 0 nm to 20 nm, so we have:

∫(0 to 20 nm) P(x) dx = 1

Substituting the expression for P(x), we get:

∫(0 to 20 nm) Aexp(-2(x-x0)/w) dx = 1

To solve this integral, we can make the substitution u = (x-x0)/w, which gives:

∫(-x0/w to (20-x0)/w) A×exp(-2u) w du = 1

Simplifying, we get:

Aw[-(1/2)×exp(-2u)]|(-x0/w to (20-x0)/w) = 1

Evaluating the limits of integration and simplifying, we get:

Aw(exp(x0/w)-exp((x0-20)/w))/2 = 1

Since we know the values of w and x0, we can solve for A:

A = 2/[(20 nm)×(exp(-10 nm/w)-exp(-30 nm/w))]

Using the given values of kinetic energy and the de Broglie wavelength formula λ = h/p, where h is Planck's constant and p is the momentum of the electron, we can calculate the de Broglie wavelength of the electrons:

λ = h/p = h/sqrt(2me×KE)

where m is the mass of the electron, e is the charge of the electron, KE is the kinetic energy of the electron.

Substituting the given values, we get:

λ = 6.626 x 10^-34 J s / sqrt(2×(9.109 x 10^-31 kg)(1.602 x 10^-19 C)(10 eV))

λ = 0.386 nm

Since the screen ranges from 0 nm to 20 nm with a step size of 1 nm, there are 21 intervals on the screen. We can use the value of the normalization constant A to calculate the probability density for each interval:

P(x) = Aexp(-2(x-x0)/w)

where w = 1 nm and x0 = 10 nm (since the screen ranges from 0 to 20 nm).

Substituting the values of A, w, and x0, we get:

P(x) = 3.801 x 10^13 × exp(-2×(x-10)/1)

So the value of the normalization constant A is:

A = 2/[(20 nm)×(exp(-10 nm/w)-exp(-30 nm/w))] = 3.801 x 10^13 m^-1.

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the thermodynamic quantity that combines enthalpy and entropy is:

Answers

The thermodynamic quantity that combines enthalpy and entropy is Gibbs free energy. It is given by the equation: ΔG = ΔH - TΔS.

The thermodynamic quantity that combines enthalpy and entropy is Gibbs free energy. The Gibbs free energy is a thermodynamic function that determines the degree to which a reaction is spontaneous. The Gibbs free energy is given by the equation:ΔG = ΔH - TΔS where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the absolute temperature, and ΔS is the change in entropy.

The thermodynamic quantity that combines enthalpy and entropy is Gibbs free energy. It is given by the equation: ΔG = ΔH - TΔS.ΔG = Change in Gibbs free energy ΔH = Change in enthalpy T = Absolute temperature ΔS = Change in entropy

Gibbs free energy is a thermodynamic quantity that represents the energy available to do work in a system at constant temperature and pressure. It is a combination of the enthalpy and entropy of a system. It is a measure of the amount of free energy that is available to do work. This quantity is important in chemical thermodynamics, where it is used to determine the feasibility of a chemical reaction. The Gibbs free energy equation is given as ΔG = ΔH - TΔS, where ΔH is the change in enthalpy, T is the absolute temperature, and ΔS is the change in entropy. The Gibbs free energy can be used to predict whether a chemical reaction will occur spontaneously or not. If ΔG is negative, the reaction will occur spontaneously, and if ΔG is positive, the reaction will not occur spontaneously.

In summary, Gibbs free energy is a thermodynamic quantity that combines the enthalpy and entropy of a system. It is used to determine the feasibility of a chemical reaction and to predict whether a reaction will occur spontaneously or not. The Gibbs free energy equation is given as ΔG = ΔH - TΔS.

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When a marble is at rest what happened

Answers

The marble will stay in place until another force pushes it

Answer: the marble will remain in place at a constant velocity of zero

Explanation:

Newton's first law states that a body at rest will remain at rest, and a body in motion will remain in motion in a straight line at a constant velocityunless acted upon by an outside force

what type of stars can collapse in a supernova explosion and become neutron stars

Answers

Answer:

red supergiants can

Which is an example of the state of subdivision of the reactants affecting the rate of reaction?
Select the correct answer below:
a.the smaller the piece of wood, the faster it burns
b. food spoils more quickly on the kitchen counter than in the fridge
a reaction slows down as it proceeds
c. calcium reacts with water moderately, sodium reacts with water explosively

Answers

The correct answer is a. "The smaller the piece of wood, the faster it burns."

The state of subdivision of the reactants refers to the physical form or size of the reactant particles. It can have a significant impact on the rate of a chemical reaction. When the reactants are in a more finely divided or smaller state, there is a larger surface area available for reaction compared to when the reactants are in larger or bulk form.

In this case, the state of subdivision refers to the size of the wood pieces. Smaller pieces have a larger surface area exposed to oxygen, which increases the rate of reaction (burning).

Hence, The example of the state of subdivision of the reactants affecting the rate of reaction is:
a. the smaller the piece of wood, the faster it burns.

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Insert tab A into slot B" is something you might read in the assembly instructions for pre-fabricated bookshelves. Suppose that tab A varies in size according to a Normal distribution with a mean of 30 mm. And a standard deviation of 0. 5 mm. , and the size of slot B is also Normally distributed, with a mean of 32 mm. And a standard deviation of 0. 8 mm. The two parts are randomly and independently selected for packaging. What is the probability that tab A won’t fit into slot B?

Answers

0.017 is the probability that tab A won’t fit into slot B

What is probability?

Probability is related to possibility. Random event generation is the subject of this branch of mathematics. Values ​​range from 0 to 1. Probabilities are built into mathematics to predict the likelihood of certain events.

P(tab A won't fit into slot B) = P (A>B)

                                                = P( A-B > 0)

Given that, A ≈ N(30,0.5)   B ≈ N(32, 0.8)

Here,

E (A-B) = 30-32 = -2

V(A-B) = V(A) + V(B) = (0.5)² + (0,8)²

                                   = 0.89

SD (A-B) = \(\sqrt{0.89}\)

So, (A-B) ≈ N (-2, 0.9433)

P( A-B > 0) = 1 - P(A-B ≤ 0)

= 1 - P [(A - B +2 / 0.9433) ≤ (+2 / 0.9433)]

= 1 - P (Z₁ ≤ 2.12)

= 1 - 0.98300

= 0.017

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Which of these is an example of a longitudinal wave?

Answers

Answer:

D. Sound waves

Explanation:

The following options are missing:

A. radio wave

B. X-rays

C. Light waves

D. Sound waves

There are two kinds of waves: longitudinal and transverse.

In longitudinal waves, the vibrations are parallel to the direction of wave travel. Examples of longitudinal waves include: sound waves  and ultrasound waves.

In transverse waves, the vibrations are at right angles to the direction of wave travel. All electromagnetic waves (e.g. light waves, microwaves, radio waves and X-rays) are transverse waves.

The market price of a house is $125,000, and the home buyer borrows $100,000. Two points are equal to $2,000. Group of answer choices True False

Answers

The given statement The market price of a house is $125,000, and the home buyer borrows $100,000. Two points are equal to $2,000 is true.

Two points equaling $2,000 is a common convention in real estate transactions. Points, also known as loan origination fees, are typically calculated as a percentage of the loan amount. In this case, two points amount to $2,000 on a $100,000 loan.

If the home buyer is borrowing $100,000 and two points equal $2,000, it aligns with the given information. Therefore, the statement is true.

Points, in the context of real estate, refer to fees charged by lenders at the time of closing a mortgage loan. Each point is typically equal to 1% of the loan amount. These points are paid upfront by the borrower and are considered a form of prepaid interest.

The purpose of points is to lower the interest rate on the mortgage loan. By paying points, the borrower can reduce the overall interest expense over the life of the loan. Generally, each point paid upfront can lower the interest rate by a certain percentage, often referred to as "buying down" the rate.

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Para que ángulo el alcance es igual a la altura máxima en un lanzamiento de proyectil ideal sobre un plano horizontal. Translation: For which angle the range equals the maximum height in an ideal projectile launch on a horizontal plane. a) 45º b) 60º c) 76º d) 90º

Answers

Answer:

76°

Explanation:

In projectile,

Maximum height = \(\frac{u^{2}sin^{2} \theta }{2g}\) and range = \(\frac{u^{2}sin2\theta }{g}\)

u = velocity of the body

\(\theta\) = angle of launch

g = acceleration due to gravity

If the range equals the maximum height in an ideal projectile launch on a horizontal plane, this means;

\(\frac{u^{2}sin^{2} \theta }{2g} = \frac{u^{2}sin2\theta }{g}\)

since \(sin2\theta = 2sin\theta cos\theta\)

\(\frac{u^{2}sin^{2} \theta }{2g} = \frac{u^{2}2sin\theta cos\theta }{g}\\\frac{sin\theta}{2} =2cos\theta \\sin\theta = 4cos\theta\\\frac{sin\theta}{cos\theta} = 4\\tan\theta = 4\\\theta = tan^{-1} \\4\theta = 75.9^{0}\)

The angle at which the range equals the maximum height in an ideal projectile launch on a horizontal plane is approximately 76°

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A water-skier is pulled behind a boat by a rope that is at an angle of 13° and has a tension of 490 N. The water-skier has a mass of 49 kg.

What are the magnitudes of the x- and y- components of the tension?

What is the normal force acting on the skier?

Answers

Answer:

normal force= 480.2 x component=477.4  y component= 110.4

Explanation:

I'm sorry I just did this today in class but i think normal force has to be equal to mg or the mass * gravity of the person and that would be 480.2 newtons. I multiplied 9.8 (gravity) by the mass of 49g

I think for the x and y components you can make a triangle with the angled string and then use sohcahtoa to solve for the tension. I used cos(13) = x/490 to solve for x component and then I used the pythagoran theroem to get the remaining side which would be : a^2 + 477.4^2 = 490^2

hope this can help and that it is correct. good luck

The magnitudes of the x- and y- components of the tension is 477.44N and 110.23N

The normal force acting on the skier is 480.2N

The magnitude of the x- and y- components of the tension is expressed as:

x = Tcos 13°y = T sin  13°

Given the following

Tension T = 490N

x = 490 cos13° = 477.44N

y = 490sin13° =  110.23N

Hence the magnitudes of the x- and y- components of the tension is 477.44N and 110.23N

The normal force acting on the skier is equal to the weight.

N = W = mg

N = W = 49 * 9.8

N = W = 480.2N

Hence the normal force acting on the skier is 480.2N

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Answer in complete sentences. You are heating up soup in a pan on the stove, while stirring the soup with a metal spoon. Although the spoon only touches the soup, and never touches the bottom of the pan, it becomes hot and burns your hand. Describe how the heat is transferred from the hot burner on the stove to the metal spoon. Be specific and give as much detail as you can. (6 points)

Answers

The heat is convicted through the soup. The soup heats up as the spoon is in the soup making the spoon hot. its like saying pouring hot water into a cup and its hot on your hand its convecting through the glass and heating up

Joshua's Subaru Forrester was detected exceeding the posted speed limit of60 kilometers per hour, how many kilometers per hour would h ehave been traveling over the limit if he had covered the a distance o f1 0 kilometers in 0.1 hours? If you want to express this value as a velocity, what other information would you need to provide?

Answers

6.2137119 miles per hour is equal to 10 km/h. (8 digits rounded) Speed is measured in kilometers per hour.

What additional information is needed for velocity that is not needed for speed?Distance must be known in order to calculate velocity, but not the other way around. Speed does not take into account the direction in which an object is moving, whereas velocity does. Velocity does not take into account the amount of time it took an object to traverse; speed does.According to the equation v = s/t, velocity (v) is a vector quantity that quantifies displacement (or change in position, s), over change in time (t). Speed (or rate, r) is a scalar number that represents the amount of time (t) spent travelling over the distance (d), as shown by the equation r = d/t.An object's velocity is its rate of movement in a specific direction. These cars' velocities may be comparable despite their speeds.

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the acceleration due to gravity near the surface of the moon is about one-sixth of the value near the earth's surface. if a rock were dropped from equal heights on the moon and earth, the time it would take the rock from the moon to hit the ground would be

Answers

The expression for time it would take the rock from the moon to hit the ground, \(t_m = \sqrt{6} t_e\).

The acceleration due to gravity near moon's surface is about one-sixth of the value near the earth's surface.

The Newton's second law says,

\(s = ut +\dfrac{1}{2}a t ^2\)

This means acceleration is inversely proportional to square of time.

\(\dfrac{a_e}{a_m} = \dfrac{t_m^2}{t_e^2}\)

where, \(a_e\), \(a_m\) is the acceleration at earth and moon respectively.

and, \(t_e\), \(t_m\) is the time at earth and moon respectively.

\(a_m = \dfrac{1}{6} a_e\)

Hence, \(t_m = \sqrt{6} t_e\).

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