Coherent light of frequency 6. 32 x 1014 Hz passes through two thin slits and falls on a screen 85. 0 cm away. You observe that the third bright fringe occurs at ±3. 11 cm on either side of the central bright fringe.


(a) How far apart are the two slits?


(b) At what distance from the central bright fringe will the third dark fringe occur?

Answer:wool not nylon

Explanation:

Answer:

A. Wool

Explanation:

The mother can push the 20.0 kg baby carriage a distance of approximately 47.1 meters using a force of 62.0 N.

To determine the distance the mother can push the baby carriage, we need to use the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. In this case, the work done by the mother is given as 2920 J.

The work done can be calculated using the formula: work = force × distance. Rearranging the formula to solve for distance, we have distance = work / force.

Substituting the given values, distance = 2920 J / 62.0 N = 47.1 meters (rounded to one decimal place).

Therefore, the mother can push the 20.0 kg baby carriage a distance of approximately 47.1 meters using a force of 62.0 N.

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The continuous improvement target for plastic frames in 2020 was set at $3.80.

This target was determined as a result of Nearsight Company's efforts to reduce costs through their continuous improvement program. The program aimed to achieve a 5% reduction from the 2019 base costs. In the case of plastic frames, which had a cost of $4.00 in 2019, the target cost was calculated by subtracting the reduction amount of $0.20 from the 2019 cost.

By setting this target, Nearsight Company aimed to streamline their manufacturing processes, identify cost-saving opportunities, and enhance the overall efficiency of producing plastic frames. This would contribute to improved profitability and competitiveness in the eyeglass manufacturing industry.

Therefore, the continuous improvement target for plastic frames in 2020 was $3.80.

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NASA's Europa Clipper will conduct detailed reconnaissance of Jupiter's moon Europa and investigate whether the icy moon could have conditions suitable for life.

The magnetometer investigation aims to confirm that Europa's ocean exists, measure its depth and salinity, and measure the moon's ice shell thickness. It will also study Europa's ionized atmosphere and how it interacts with Jupiter's ionized atmosphere. On February 10, 2021, it was announced that the mission would use a 5.5-year trajectory to the Jovian system, with gravity-assist maneuvers involving Mars (February 2025) and Earth (December 2026). Europa Clipper's main science goal is to determine whether there are places below Europa's surface that could support life. Jupiter's moon Europa shows strong evidence for an ocean of liquid water beneath its icy crust.

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The correct statements is (e) all of the above statements.

A theoretical gas called an ideal gas is one that has plenty of point particles flying around arbitrarily and without being affected by other particles.

The ideal gas notion is advantageous because it complies with the ideal gas law, a condensed equation of state, and is amenable to statistical mechanics analysis.

According to the Ideal Gas Law, the product of the pressure, volume, and temperature of an ideal gas is constant ( PV = nRT) when the number of moles, n, is held constant.

This means that if the temperature of a fixed amount of an ideal gas is increased, the volume and the pressure of the gas will also increase, and the speed of the gas molecules will increase. However, the entropy will increase, not decrease.

So, the correct answer is a. the volume of the gas will increase. b. the pressure of the gas will increase. d. the speed of the gas molecules will increase.

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The potential energy of the ball has increased during energy transfer.

If the ball rolls and stops, the kinetic energy from rolling and friction turns into potential energy.

Potential energy is relative position, kinetic energy is relative to motion.

The main relationship between the two is their ability to transform into each other. That is, potential energy turns into kinetic energy, kinetic energy turns into potential energy, and back again. It's an endless cycle.

Let's look at another example. Suppose there is a book on the table.

When the book is at rest, it has potential energy. However, if you accidentally drop it off the table, that potential energy is converted into kinetic energy, causing the book to move and fall. However, as soon as the book hits the ground, this kinetic energy is converted into potential energy.

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Answer:

22/0.50=44

Explanation:

average speed= distance / time

To make the solute dissolve, thoroughly mix and add a little quantity of solvent after transferring the solute to a container

A solute is a material dissolved in another substance known as a solvent in a homogeneous mixture made of two or more components.

A solute's concentration in a solution is a measure of how much of that solute is dissolved in the solvent and the amount of solvent present, such as salt. Solutes are the best cleaning agents and additives.

Add a little quantity of solvent after transferring the solute to a container ideally a volumetric flask,

Which most precisely measures the volume of the solution indicated on the flask. To make the solute dissolve, thoroughly mix.

Hence the above process should be followed to dissolve, and thoroughly mix.

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Answer:

the height of the potential energy is 3,200 J

Explanation:

The computation of the kinetic energy is shown below:

Kinetic energy = 1 ÷ 2 × mass × velocity^2

= 1 ÷ 2 × 4 kg × 40 m/s^2

= 3,200 J

Hence the height of the potential energy is 3,200 J

One statement that is not true is that UV radiation is a type of electromagnetic radiation. It is also a type of ionizing radiation. UV radiation is actually a form of non-ionizing radiation.

UV radiation, or ultraviolet radiation, is a type of electromagnetic radiation that falls between visible light and X-rays on the electromagnetic spectrum. It is often categorized into three types: UVA, UVB, and UVC. Unlike ionizing radiation, such as X-rays and gamma rays, which have enough energy to remove tightly bound electrons from atoms or molecules, UV radiation lacks the necessary energy to ionize atoms or molecules. Instead, it primarily interacts with the outermost electrons of atoms or molecules, leading to chemical reactions and causing biological effects.

UV radiation is commonly associated with sunlight and has various effects on living organisms and materials. It can cause sunburn, premature aging of the skin, and an increased risk of skin cancer. Exposure to excessive UV radiation can also damage the eyes and impair the immune system. It is important to protect oneself from excessive UV exposure by wearing sunscreen, protective clothing, and sunglasses.

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The heat capacity of the bomb calorimeter, excluding the water is 1.3 ×\(10^{3}\)

Given data

mass of water ( Mwater ) = 1000 g

Specific heat of water ( (water ) = 4.184 3 / g. oc

Change in temperature ( T ) = 3. 60 C

mass of benzoic acid ( m ) = 0.7521 9

Heat of combustion of benzoic acid ( q ) =- 26.42 k3/g

Heat capacity of bomb calorimeter ( Ccal ) = ?

First , we will find out how much heat released in the reaction .

q rn = m x a

Now , we will calculate the heat capacity of bomb

calorimeter  C ( cal )

q rn = ( ( mwater ) X ( Cwater ) * ΔT ) + ( Ccal * ΔT )

- 19870 J = - (1000 g ) x ( 4. 18 4 3 x ( 3.60 ) ) + ( Ccal x 3.60 )

( 1000g ) * ( 4:284 3 /8 9 ) x ( 3.60 " c ) ) + ( Ceal * 3.60 ( ) = 198 70 ]

15062 + Ccal 3. 60 = 19870 j

Ccal 3.60  = 4807. 6 j

Ccal =  4807. 6 J/ 3.60   = 1335.43 j/degree Celsius

Ccal = 1. 3 x \(10^{3}\) kj /degree Celsius

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Answer:

natural is the answer

Friction is a natural force which exist

Answer:

An electric chemical cell is not always needed to have a power circuit. But every other part is.

Answer:

On Waves. Quantum mechanically, an electron can be described by a wave function oscillating in space and time that has mean values equal to the expectation values of observables corresponding to given operators. ... Electrons are fermions. They are charged particles. in short the quantum theory

i hope its helpful !

Answer:

0.10

Explanation:

I know because I got it right

Answer:

0.10 cm3

Explanation:

Answer:

C.

Explanation:

Because the speed pf the boat will depends of the driver.

The most scientific guess (hypothesis) based on what is known about the behavior of galaxies is that Galaxies are continuously moving away from each other. This hypothesis can be tested using Hubble's Law.

Hubble's law indicates that almost all galaxies are moving apart from one another because the universe as a whole is expanding. Choose any two galaxies at arbitrarily, and they're most likely traveling apart from each other.

Hubble discovered that galaxies move away from us at a rate proportionate to their distance: more distant galaxies move away faster than closer ones. The accompanying graphic shows Hubble's classic graph of measured velocity vs. distance for neighboring galaxies.

The graph shows a linear relationship between galaxy velocity (v) and distance (d).

The equation for the above linear relationship is:

                                          v = H₀ x d

Where:

H₀ is the expansion rate

v = velocity of the galaxy; and

d = distance.

Using the above formula, the astronomer can measure or test to know whether indeed the new galaxy is moving relative to the Milky Way galaxy and at what rate.

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Answer:

You only have  12 Seconds to Pitch

A baseball game usually lasts 3 hours long

The record of most home runs in a baseball match by one person is 4

Explanation:

I hope this helps u

Gravitational force between two masses m, and m, is represented as F = Gm₂ m₂ / r^2 where r = xi+yj + zkG, m, m₂ are nonzero constants and let's assume that I = 0

a) Calculation:For F = Gm₂ m₂ / r^2.

Using r = xi+yj + zk and let r^2 = x^2 + y^2 + z^2∴ F = Gm₂ m₂ / (x^2 + y^2 + z^2), Where G, m, m₂ are nonzero constants. Divergence of F = ∇ · F= 1/r^2(d/dx(r^2Fx) + d/dy(r^2Fy) + d/dz(r^2Fz))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)^(3/2)) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)^(3/2)) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)^(3/2)))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2))= 1/r^2(Gm₂ m₂ [2x(x^2+y^2+z^2)-3x^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2y(x^2+y^2+z^2)-3y^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2z(x^2+y^2+z^2)-3z^2]/(x^2+y^2+z^2)^(5/2))= 1/r^2(Gm₂ m₂ [(2x^2+2y^2+2z^2-3x^2)/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3y^2]/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3z^2]/(x^2+y^2+z^2)^(3/2)])= 1/r^2(Gm₂ m₂ [x^2+y^2+z^2]/(x^2+y^2+z^2)^(3/2))= 0.

Curl of F = ∇ × F= i(d/dy(Fz) - d/dz(Fy)) - j(d/dx(Fz) - d/dz(Fx)) + k(d/dx(Fy) - d/dy(Fx))= i(d/dy(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ y/(x^2+y^2+z^2))) - j(d/dx(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ x/(x^2+y^2+z^2))) + k(d/dx(Gm₂ m₂ y/(x^2+y^2+z^2)) - d/dy(Gm₂ m₂ x/(x^2+y^2+z^2)))= i(Gm₂ m₂ [-2xz]/(x^2+y^2+z^2)^(5/2)) - j(Gm₂ m₂ [-2yz]/(x^2+y^2+z^2)^(5/2)) + k(Gm₂ m₂ [(x^2+y^2-2z^2)]/(x^2+y^2+z^2)^(5/2))

b) Calculation:The line integral of F along a curve C can be evaluated by the following formula∫C F.dr = ∫∫ ( ∇ x F) ds, Where r is the position vector of the curve, s is the scalar parameter representing the curve, and the integral is evaluated from the initial point to the final point.

Using the curl of F obtained in part a) and for the surface with ∂S as C∫C F.dr = ∫∫ ( ∇ x F) ds= ∫∫ curl(F) ds= ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds...[1]

Let's consider the surface S as a plane perpendicular to the z-axis of the form ax+by+c=0 and the curve C as the intersection of the plane and the cylinder x^2 + y^2 = a^2.

Let's choose the unit normal to the surface S as k (along the z-axis).

The curl of F is a vector field perpendicular to the plane and along the direction of k.

Thus the integral can be written as∫C F.dr = ∫∫ ( ∇ x F) . k ds= ∫∫ (x^2+y^2-2z^2) ds...[2]

Now let's evaluate the integral over the given plane ax+by+c=0. We can write x = t, y = (c-at)/b and z = 0, where t is the scalar parameter along the line of intersection of the plane and the cylinder (x^2 + y^2 = a^2).

Since the curve C is on the cylinder of radius a, we have x^2+y^2 = a^2 ⇒ t^2+(c-at)^2/b^2 = a^2On solving for t, we have t = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2].

Substituting t in x and y, we get the curve C in the x-y plane as a function of the scalar parameter s asx = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2]y = (c-at)/b= (c-(bc±ab √(a^2-b^2-c^2))/[a^2+b^2])/b.

Now we can evaluate the integral over the curve C, which is along the intersection of the plane and the cylinder.

Integral over C (x^2+y^2-2z^2) ds= ∫t₁^t₂ [(t^2 + [(c-at)^2]/b^2 - 2(0)^2)^(1/2)] dt= ∫t₁^t₂ [(a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2]^(1/2) dt.

Now we can choose the value of t₁ and t₂ such that the square root in the integrand is minimized (so that the integral is path-independent).

This can be done by choosing the value of t that gives the minimum value of (a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2 over the range of t from t₁ to t₂.

On differentiation with respect to t and equating to 0, we get the value of t = bc/(a^2+b^2).

Substituting this value of t in the integrand, we get the minimum value of the square root in the integrand to be |c| √(a^2+b^2)/|b|.

Thus the integral over C is given by∫C F.dr = ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds= ∫∫ (x^2+y^2-2z^2) ds= ∫t₁^t₂ |c| √(a^2+b^2)/|b| dt= |c| √(a^2+b^2)/|b| (t₂-t₁).

Now we can see that the integral is path-independent as it depends only on the end points t₁ and t₂ and not on the path taken to reach them.

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Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

From the question

mass = 10 kg

acceleration = 2 m/s²

We have

Force = 10 × 2

We have the final answer as

Hope this helps you

Answer:

they havve to stay in water to survive

Explanation:

So their are sea animals

Answer:

rs 900

Explanation:

the process is given

Answer:

\(a = 0\ m/s^2\)

Explanation:

The acceleration of a body is defined as the change in velocity of an object, with respect to time. So, in order to produce and acceleration in any object, the velocity of that object must change. And, if the velocity of the object is not changing with respect to time, then the object is said to have a uniform motion. The acceleration of the object in such uniform motion is always zero. Because the change in velocity is zero.

\(acceleration = change in velocity/time\\acceleration = 0 / time\\acceleration = 0 m/s^2\)

Since, the car in this case is moving with a constant speed. Therefore, its acceleration will also be zero.

a = 0 m/s²

30 seconds are spent holding an 80-N weight 2 meters off the ground. This will demand 5.3 W of power. Hence the correct option is (d).

The power required to hold an object can be calculated using the formula: Power = Force x Distance / Time.

Given:

Force = 80 N

Distance = 2 m (vertical displacement)

Time = 30 seconds

Putting the values in the formula:

Power = 80 N x 2 m / 30 sec

Power = 160 J/30 sec

Power = 5.3 W

Therefore, the answer is d. 5.3 W.

In physics, power is a measure of the rate at which energy is being transferred or transformed. It is defined as the amount of work done per unit time, and is usually measured in Watts (W).Power is an important physical concept that appears in many areas of physics, including mechanics, thermodynamics, electromagnetism, and many others. In mechanics, for example, power is used to calculate the rate at which work is being done, which is essential for understanding the behavior of objects in motion. In thermodynamics, power is used to describe the rate at which heat is being transferred between two systems, which is essential for understanding the behavior of thermodynamic systems.

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I assume you mean the plane \(x+2y+3z=1\). Its area over the region

\(R = \left\{(x,y) ~:~ x^2 + y^2 \le 6\right\}\)

is given by the integral

\(\displaystyle \iint_R dA = \iint_R \sqrt{1 + \left(\frac{\partial f}{\partial x}\right)^2 + \left(\frac{\partial f}{\partial y}\right)^2} \, dx \, dy\)

where \(z=f(x,y) = \frac{1 - x - 2y}3\).

We have

\(\dfrac{\partial f}{\partial x} = -\dfrac13\)

\(\dfrac{\partial f}{\partial y} = -\dfrac23\)

so that the area element is

\(dA = \sqrt{1 + \left(-\dfrac13\right)^2 + \left(-\dfrac23\right)^2} \,dx\,dy = \dfrac{\sqrt{14}}3\,dx\,dy\)

Then we have

\(\displaystyle \iint_R dA = \frac{\sqrt{14}}3 \iint_R dx \, dy\)

and the remaining integral is exactly the area of the disk \(x^2+y^2\le6\). Its radius is √6, so its area is π (√6)² = 6π. So the area of the surface is

\(\displaystyle \iint_R dA = \frac{\sqrt{14}}3 \cdot 6\pi = \boxed{2\sqrt{14}\pi}\)

Answer:

I think the law of inertia

Answer:

A E and F are the correct answers

Explanation:

Answer:

A E F are correct

Explanation:

Answer:

hello! Jaesuk~Sakai here!

Explanation:

The four group 3 elements are scandium, yttrium, lanthanum and actinium. “lanthanide” refers to the elements between lanthanum and lutetium. That term does not encompass scandium and yttrium. Scandium and yttrium act pretty much identically to lanthanides.

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