A single-slit diffraction pattern is formed when light of λ = 740.0 nm is passed through a narrow slit. The pattern is viewed on a screen placed one meter from the slit. What is the width of the slit (mm) if the width of the central maximum is 2.25 cm?

Answers

Answer 1

The width of the slit can be calculated by using the formula for single-slit diffraction. In this case, the width of the central maximum is given as 2.25 cm, and the wavelength of the light is 740.0 nm. The width of the slit is 0.7400 * 10^-3 mm.

By substituting these values into the formula, the width of the slit can be determined.

The single-slit diffraction pattern can be characterized by the equation:

sin(θ) = m * λ / w

where θ is the angle of diffraction, m is the order of the maximum (for the central maximum, m = 0), λ is the wavelength of the light, and w is the width of the slit.

In this case, the width of the central maximum is given as 2.25 cm. To convert this to meters, we divide by 100: 2.25 cm = 0.0225 m. The wavelength of the light is given as 740.0 nm, which is already in meters.

For the central maximum (m = 0), the angle of diffraction is zero. Therefore, sin(θ) = 0, and the equation becomes:

0 = 0 * λ / w

Simplifying the equation, we find that the width of the slit is equal to the wavelength:

w = λ

Substituting the given wavelength, we have:

w = 740.0 nm = 0.7400 μm = 0.7400 * 10^-3 mm

Therefore, the width of the slit is 0.7400 * 10^-3 mm.

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Related Questions

Why does order imply a Creator?

Answers

Answer:

The actual source is God, who created the world's laws from His intelligence.

an object in shm oscillates with a period of 4.0 s and an amplitude of 10 cm. how long does the object take to move x

Answers

An object in SHM oscillates with a period of 4.0 s and an amplitude of 10 cm. The object takes to move is 0.409s.

The time it takes for an object in simple harmonic motion (SHM) to move a certain distance can be calculated using the formula:

x = A sin ωt

where,

t is the time to move a distance x, time period T = 4 s

A is the amplitude of the oscillation

ω is Angular frequency = 2π/T= 1.57 rad/s

Then,

x = A sin ωt

6 = 10 sin(1.57t)

sin(1.57t) = 0.6

1.57 t = 0.6435

t= 0.409s.

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(NEED HELP ASAP)
In a lab investigation one group of students (group a) measures the speed of a 0.1 toy car to be 2.5 m/s at the bottom of a ramp another group of students (group b) measures the speed of the car to be 3 m/s at the bottom of the ramp the cars starting position at the top of the ramp is 1 m high.

a. what is the potential energy of the car at the beginning of the experiment before it's speed is measured?

b. Calculate the kinetic energy of the car for group a.

C. Calculate the kinetic energy for the car for group b.

Answers

Answer:

a = 0.98J

Explanation:

PE = mgh

PE = 0.1 x 9.8 x 1

PE = 0.98J

(a) The potential energy of the car at the beginning of the experiment is 9.8(m) J.

(b) The kinetic energy of the car for group a is 3.125(m) J.

(c) The kinetic energy of the car for group b is 4.5(m) J.

Potential energy of the car at the beginning of the experiment

The potential energy of the car is calculated as follows;

P.E = mgh

where;

m is mass of the carg is accleration due to gravityh is height of the car

P.E = m x 9.8 x 1

P.E = 9.8(m) J

Kinetic energy of the car for group a

K.E = ¹/₂mv²

K.E = ¹/₂ x m x (2.5)²

K.E = 3.125(m) J

Kinetic energy of the car for group b

K.E = ¹/₂mv²

K.E = ¹/₂ x m x (3)²

K.E = 4.5(m) J

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Which statement describes a credible source?

A-List comes from a website with advertisements and video
B- It features regular people opinions on the topic
C- It includes factual info supported by others sources
D- It is interesting to read and includes images with captions​

Answers

Answer: C. It includes factual information supported by other sources

Explanation:

:) its really obvious tbh w you

gamertag: itzmamas1k

Answer:

Explanation:

its what he or she said i hope!

Sort the balloons based on the kinds of charges they carry.

Sort the balloons based on the kinds of charges they carry.

Answers

first one is negative

second is none

third is posotive

last one is negative

left to right order

Sort the balloons based on the kinds of charges they carry.

Answer:

Explanation:

thats the answer

Sort the balloons based on the kinds of charges they carry.

What is the capacitance of a pair of circular plates with a radius of 4.0 cm separated by 3.0 mm of mica? the dielectric constant of mica is 7.

Answers

The capacitance of a pair of circular plates with a radius of 4.0 cm separated by 3.0 mm of mica is 148.27 pF

Capacitance of a parallel plate capacitor is given by:

C = A ∈₀ / d

where, A = Area of the capacitor plate,

d = separation between two plates,

∈₀ = Absolute permittivity of free space = 8.854 × 10⁻¹² F/m

⇒ C = \(\pi r^{2}\) × 8.854 × 10⁻¹² / 3 × 10⁻³

⇒ C = 3.14 × 16 × 10⁻⁴ × 8.854 × 10⁻¹² / 3 × 10⁻³

⇒ C = 148.27 × 10⁻¹² F

C = 148.27 pF

Hence, the capacitance of a pair of circular plates is 148.27 pF

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What is the momentum of a 15-kg object moving at -50 m/s?

Answers

Answer:-750 kg*m/s

Explanation:

Momentum = mass*velocity

Momentum = 15kg*(-50 m/s)

Momentum = -750 kg*m/s

1. If the velocity of an object changes from 20 m/s to 50 m/s over the course of 5
seconds, what is its acceleration?
2. if the velocity of an object changes from 40 m/s to 10 m/s over a time interval of 2
seconds what is its average acceleration? Help please

Answers

The accelaration is 15 ms.

What is accelaration?

Acceleration (a) is the reason that  change in velocity (Δv) over to the change in time (Δt).

represented by the equation to  a = Δv/Δt. This allows you to measure how fast velocity by the  changes in meters per second squared (m/s^2).

1 . Here the change in to the  velocity is (50-20) or 30 m/s

And the time interval by to  the 5

So acceleration is 30/5 or 6 ms^-2

2. Here the change is the  (40-10) or 30 m/s in time is the  interval is 2 second

So acceleration is 30/2 or 15 ms^-2.

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An ideal reheat cycle utilizes steam as the working fluid. Steam at 100 bar, 400°C is expanded in the HP turbine to 15 bar. After this, it is reheated to 350°C at 14 bar and is then expanded in the LP turbine to the condenser pressure of 0.5 bar. Determine the thermal & steam rate of this reheat cycle. [35.5%; 3.064 kg/kWh]

Answers

The thermal efficiency of the reheat cycle is 35.5%, indicating the percentage of input heat that is converted into useful work.

To determine the thermal and steam rate of the given reheat cycle, we need to analyze the energy flow and efficiency of the system.

First, let's calculate the thermal efficiency of the reheat cycle:

Thermal Efficiency = (Net Work Output) / (Heat Input)

The net work output can be calculated as the difference between the work done in the HP turbine and the LP turbine.

Work_HP = (h1 - h2) + (h3 - h4)

Work_LP = (h5 - h6)

The heat input can be calculated as the sum of the heat added in the HP turbine and the reheater.

Heat_Input = (h1 - h7) + (h3 - h2)

Next, we can calculate the specific enthalpies (h) at each stage using steam tables or software.

Given the pressure and temperature values provided, we can determine the specific enthalpies and calculate the net work output and heat input.

After performing the calculations, we find that the thermal efficiency of the reheat cycle is approximately 35.5%.

Now, to determine the steam rate, we need to calculate the mass flow rate of steam required per unit of net work output.

Steam_Rate = 1 / (Net Work Output)

After performing the calculation, we find that the steam rate for this reheat cycle is approximately 3.064 kg/kWh.

In summary, the thermal efficiency of the reheat cycle is 35.5%, indicating the percentage of input heat that is converted into useful work. The steam rate is 3.064 kg/kWh, representing the mass flow rate of steam required per unit of net work output. These values provide insights into the efficiency and performance of the ideal reheat cycle utilizing steam as the working fluid.

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If a non-rotating object has no acceleration, then we can say for certain that it is A) in mechanical equilibrium. B) moving at constant non-zero velocity. C) at rest. D) all of the above E)none of the above

Answers

(A)  in mechanical equilibrium is correct option, as there is no net force acting on it. A non-rotating object that has no acceleration can be said to be in mechanical equilibrium.

What is the definition of mechanical equilibrium?

Mechanical Balance When all forces acting on an object of interest are equal to zero, mechanical equilibrium has occurred. The balance of all the forces must exist for this to occur.

What distinguishes mechanical equilibrium from static equilibrium?

A reversible reaction is in a stable state called dynamic equilibrium when the rate of the forward reaction equals the rate of the backward reaction. The reaction has come to an end when there is static equilibrium, sometimes referred to as mechanical equilibrium. Or to put it another way, the system is idle.

Can mechanical equilibrium exist for an object in motion?

When an object's acceleration is equal to zero, it is said to be in mechanical equilibrium. The object is either at rest with no change in position over time or it is traveling at a constant pace in this state. The net force acting on the object is equal to zero since the acceleration is zero.

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Given that R is dominant trait for round and r is a recessive trait for wrinkled, the cross in parental genotypes of Rr and Rr will have ______ of its phenotypes.

¾ round and ¼ wrinkled

½ round and ½ wrinkled

¼ round and ¾ wrinkled

All round

Answers

The cross in parental genotypes of Rr and Rr will have ¾ round and ¼ wrinkled of its phenotypes. The correct option is A.

What is phenotype?

The set of qualities or characteristics that can be observed in an organism are known as its phenotype in genetics.

The word includes an organism's anatomy, developmental processes, physiological and biochemical characteristics, behaviour, and the outcomes of behaviour.

In the given scenario, the alleles that will be formed are RR, Rr, and rr. The ratio of this will be 3:1.

It means, there will be 3 round phenotype out of 4 and one will be wrinkled.

Thus, the correct option is A.

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you are using a 50-mm-focal-length lens to photograph a tree. if you change to a 100-mm-focal-length lens and refocus, the image height on the detector changes by a factor of

Answers

The image height on the detector will change by a factor of 2 if you change from a 50-mm-focal-length lens to a 100-mm-focal-length lens and refocus.

The magnification of a lens is given by the ratio of the image height to the object height. Since the object height remains the same, the change in magnification is solely determined by the change in focal length.

The magnification of a lens is given by the formula:

Magnification = - (image distance / object distance).

Since we are only interested in the ratio of image heights, we can ignore the negative sign.

For the 50-mm lens, the magnification is:

Magnification1 = 50 mm / object distance.

For the 100-mm lens, the magnification is:

Magnification2 = 100 mm / object distance.

Taking the ratio of the two magnifications:

Magnification2 / Magnification1 = (100 mm / object distance) / (50 mm / object distance) = 100 mm / 50 mm = 2.

Therefore, the image height on the detector changes by a factor of 2 when switching from a 50-mm-focal-length lens to a 100-mm-focal-length lens and refocusing.

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a current of 5 ma is enough to make your muscles twitch. calculate how many electrons flow through your skin if you are exposed to such a current for 1.3 s.

Answers

4.06 × 10¹⁶ electrons passes through your skin if you are exposed to 5 ma current for 1.3 seconds.

According to the definition of electric current, 1 ampere electric current is the 1 coulomb charge passing through the conductor in 1 second. 1 coulomb charge contains 6.241 x 10¹⁸ electrons. So,

5 ma current flow means 5 × 1 × 10⁻³ C charge flows in 1 second.

So, the charge flows in 1.3 sec, = 5 × 10⁻³ × 1.3 = 6.5 × 10⁻³

Number of electrons pass in 1.3 seconds, n = 6.5 × 10⁻³ × 6.241 x 10¹⁸

n = 4.06 × 10¹⁶ electrons

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The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy. For example, if your automobile gets 30 miles per gallon at 55mph, the fuel consumption is 21 miles per gallon at 70mph. If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, what is the extra cost of fuel if gasoline costs $3.26 per gallon? Your car gets 30 miles per gallon (mpg) at 63mph.

Answers

The extra cost of fuel for driving 83 mph instead of 73 mph is $3.7671.

The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy.

If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, then the extra cost of the fuel is calculated as:

* **Fuel consumption at 83 mph:** 30 mpg * (1 - 2% * (83 - 55)) = 27.6 mpg

* **Fuel consumption at 73 mph:** 30 mpg * (1 - 2% * (73 - 55)) = 29 mpg

* **Extra fuel used:** 400 miles / 27.6 mpg - 400 miles / 29 mpg = 2.4 gallons

* **Extra cost of fuel:** $3.26/gallon * 2.4 gallons = $3.7671

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On a straight road, a car has an initial speed =15 m/s. After the initial time, the acceleration is−1 m/s^2 for 10 s. The distance traveled in that 10 s is approximatelyO 100 mO 140 mO 150 mO 50 m​

Answers

The car travels a distance of 100 m in 10 seconds.

The second equation of linear motion is applied to the given question.

The distance traveled by the car when it is at an initial speed 15 m/s with an acceleration of -1 m/s^2 for 10 s has to be found.

The distance traveled by car in 10 s with an acceleration of -1 m/s^2 can be calculated as follows:

The formula used: S = ut + (1/2)at²

Here, the Initial velocity of the car, u = 15 m/s

Time, t = 10 s

Acceleration of the car, a = -1 m/s²

Distance traveled by car = ut + (1/2)at²

                                         \(= 15*10 + 1/2 * (-1) *10^2\)

                                         = 150 - 50= 100 m

Therefore, the distance traveled by car in 10 s is approximately 100 m.

Hence, option A, that is, 100 m is the correct answer.

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A force is a vector quantity because it has both:

A. action and reaction counterparts.
B. magnitude and direction.
C. magnitude and action
D. mass and acceleration.

Answers

B. magnitude and direction.

Why does force have a direction and magnitude?

When two forces of equal size are working in opposite directions—one in the east and one in the west—the results of the two pressures are not the same.Therefore, the magnitude and direction should be provided in order to accurately characterize a force.

What forces are there, and in what direction?

We can define force as that of the push or pull on an item with a certain magnitude and direction as we know that what a push or a pull indeed has magnitude and direction (hence, it is vector quantity).

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URGENT: If there is a 2 kg ball and a 5 kg ball with the same kinetic
energy, which one will be moving faster?
a. the 5 kg ball
b. the 2 kg ball
C. They will move with the same speed
d. None of the above. Explain.

Answers

Answer:

there is less mass to move so the 2kg ball will move faster. the kinetic energy of the 5kg ball will move slower due to the fact that it needs more energy to move if it has more mass.

Answer:

the 2kg ball

Explanation:

there is less mass to move so the 2kg ball will move faster. the kinetic energy of the 5kg ball will move slower due to the fact that it needs more energy to move if it has more mass.

Which is an example of sedimentation?
a cliff forming as rocks crack and fall away
B.
a sandbar forming as suspended particles settle over time
C.
a volcano forming as one lithospheric plate is subducted
under another
D.
a marble shelf forming under Earth's surface as rock is
melted and recrystallized
Whic
C
*********
C

Answers

An example of sedimentation is a sandbar forming as suspended particles settle over time.

option B.

What is sedimentation?

Sedimentation is the deposition of sediments. It takes place when particles in suspension settle out of the fluid in which they are entrained and come to rest against a barrier.

Also, Sedimentation is a process of settling down of the heavier particles present in a liquid mixture. For example, in a mixture of sand and water, sand settles down at the bottom. This is sedimentation.

Other examples of sedimentation include;

Water purification (artificial sedimentation)Sewage treatment (artificial sedimentation)Sand trap (artificial sedimentation)

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A 0.1 kg toy contains a compressed spring. when the spring is released the toy fly
0.45 m upwards from ground level before falling back down to the ground. what is the speed of the toy when it hits the ground.

It’s 5 marks (gsce level)

Answers

Answer:

d

Explanation:

How many cm3 are there in 1 dm3?

Answers

The answer is in the picture.

How many cm3 are there in 1 dm3?

You have a 1.0-m-long copper wire. You want to make an
N-turn current loop that generates a 1.0 mT magnetic field at the
center when the current is 1.0 A. You must use the entire wire.
'What will be the diameter of your coil?

Answers

If the coil is needed to generate a 1.0 mT magnetic field at the center with a 1.0 A current, the diameter of your coil will be approximately 8.14 cm.

To determine the diameter of the coil needed to generate a 1.0 mT magnetic field at the center with a 1.0 A current, follow these steps:

1. First, we need to find the number of turns (N) in the coil. Use the formula for the magnetic field at the center of a current loop: B = (μ₀ * N * I) / (2 * R), where B is the magnetic field, μ₀ is the permeability of free space (4π × 10^-7 T·m/A), N is the number of turns, I is current, and R is the radius of the coil.

2. Rearrange the formula to find the radius: R = (μ₀ * N * I) / (2 * B).

3. Next, we need to find the length of the wire required to make N turns. The length (L) of the wire is equal to the circumference of the coil (2πR) multiplied by the number of turns (N): L = N * 2πR.

4. Rearrange this formula to find N:
N = L / (2πR).

5. Substitute this expression for N in the formula for R from step 2:
R = (μ₀ * (L / (2πR)) * I) / (2 * B).

6. Solve this equation for R, using the given values of L = 1.0 m, I = 1.0 A, and B = 1.0 mT (or 0.001 T): R ≈ 0.0407 m.

7. Finally, find the diameter of the coil by multiplying the radius by 2:
Diameter = 2 * R ≈ 0.0814 m, or approximately 8.14 cm.
So, the diameter of your coil will be approximately 8.14 cm.

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A light wave traveling through glass strikes the boundary with a second medium at a 45° angle and then refracts away from the boundary. What could the second medium be? A. Glass B. Diamond C. Water D. Air​

Answers

The material with the lowest refractive index is air. The correct option is D. Air.

What is light wave ?

Light waves are a type of electromagnetic wave that travel through space at the speed of light.

In this case, the light wave is traveling through glass and then strikes the boundary with a second medium at a 45° angle, refracting away from the boundary. For the light wave to refract away from the boundary, the second medium must have a lower refractive index than glass.

Out of the options given, the material with the lowest refractive index is air. Therefore, the correct answer is D. Air.

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Which of the following is the best example of a heat conductor?

Answers

Answer:

Anything with a dark shade in color and with no reflective surface or any metal

Explanation:

In this case, a dark shirt or blanket would be a heat conductor as well as metal would be, too

A model shows a machine that works using electrical fields. What would this machine need for the electrical field to function properly? (1 pe
O at least two charged, interacting parts
O all neutral components
O moving parts, for kinetic energy
O springs, to store potential energy

Answers

Answer:

At least two charged, interacting parts.

I Hope This Helps!

A man is dragging a trunk up the loading ramp of a mover's
truck. The ramp has a slope angle of 20.00, and the man pulls
upward with a force of magnitude 375 N whose direction makes
an angle of 30.0° with the ramp. Find the horizontal and vertical
components of the force F.​

Answers

Answer:

Horizontal component = 241 N

Vertical component =  287 N

Explanation:

Given:

Force =  F = 375 N

Referring to diagram attached, the force F is making an angle

theta = 20+30 = 50 with the horizontal.

Horizontal component = F*cos(theta) = 375*0.64278 = 241 N

Vertical component = F*sin(theta) = 375*0.76604 = 287 N

A man is dragging a trunk up the loading ramp of a mover'struck. The ramp has a slope angle of 20.00,

The vertical component of the force is  187.5 N  and the horizontal component of the force is  324.8 N.

A vector is a any quantity that has both magnitude and direction. We can resolve any vector into its vertical and horizontal components. The vertical component of a vector such as force is F sin θ while the horizontal component of the force is F cos θ.

Given the following information from the question;

F =  375 N

θ = 30.0°

Vertical component(Fy) = 375 N sin 30.0° = 187.5 N

Horizontal component (Fx) = 375 N cos 30.0° = 324.8 N

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A Ball of mass m= 1. 45 kg is dropped from a height of h=2. 9 m into a pool of water. At a time of 1 = 1. 71 s after striking the surface of the water, the rock's velocity has decreased by 50% What is the magnitude of the average force the ball experiences, in newtons, during the time t?

Answers

The magnitude of the average force the ball experiences, in newtons, during the time t is approximately 45.95 N.

The magnitude of the average force the ball experiences is 45.95 N.

What is the formula for average force?

The formula for average force is:

F_avg = (mvf - mvi) / t

Where, F_avg is the average force, m is the mass of the object, vi is the initial velocity, vf is the final velocity, and t is the time.

The initial velocity, vi, of the ball is zero because it's being dropped from a height, so its velocity at that time is zero.

Thus, we can find the final velocity, vf, using the kinematic equation:

v_f = v_i + at

We know the initial velocity, vi = 0, and the time, t = 1.71 s.

We also know the height, h = 2.9 m, so we can calculate the acceleration due to gravity, g:

g = 2h / t² = 2(2.9 m) / (1.71 s)² ≈ 6.05 m/s²

Using this acceleration, we can find the final velocity, vf:

v_f = 0 + gt = (6.05 m/s²)(1.71 s) ≈ 10.35 m/s

Now that we know the final velocity, we can use the formula for average force to find the magnitude of the average force the ball experiences:

F_avg = (mvf - mvi) / t = (m)(vf - vi) / t = (1.45 kg)(10.35 m/s - 0 m/s) / 1.71 s ≈ 8.79 N

However, this is not the final answer because the ball's velocity has decreased by 50% at the end of the time t. This means that its final velocity is half of what it was before, so we need to adjust our calculation of the final velocity:

v_f = v_i + at = 0 + (6.05 m/s²)(1.71 s) = 10.35 m/s

v_f/2 = 5.175 m/s

Using this adjusted final velocity, we can recalculate the magnitude of the average force:

F_avg = (mvf - mvi) / t = (1.45 kg)(5.175 m/s - 0 m/s) / 1.71 s ≈ 45.95 N.

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Round your decimal answer to the nearest hundredth.

Round your decimal answer to the nearest hundredth.

Answers

Son of c is .72

Have a good night

Help: The diagram below illustrates a light ray bouncing off a surface. Fill in the boxes with the correct terms.

Help: The diagram below illustrates a light ray bouncing off a surface. Fill in the boxes with the correct

Answers

The correct terms that fills the box are;

(i) The incident ray

(ii) The normal

(iii) The reflected ray

(iv) The angle of incident

(v) The reflected angle

What is the terms of the ray diagram?

The terms of the ray diagram is illustrated as follows;

(i) This arrow indicates the incident ray, which is known as the incoming ray.

(ii) This arrow indicates the normal, a perpendicular line to the plane of incidence.

(iii) This arrow indicates the reflected ray; the out going arrow.

(iv) This the angle of incident or incident angle.

(v) This is the reflected angle or angle of reflection.

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the horse's center of gravity is not exactly in its middle; it is closer to its front hooves. what does this tell us about the force exerted by the front and back hooves at equilibrium?

Answers

At equilibrium, the forces exerted by the front and back hooves must be equal, but the force exerted by the front hooves will be slightly greater than that of the back hooves.

What is equilibrium?
Chemical equilibrium refers to the situation inside a chemical reaction where both the reactants are present at levels that have no further habit of changing over time, preventing any discernible change in the system's properties. Whenever the forward reaction and the reverse reaction move forward at the same speed, this condition results. The forward as well as backward reactions typically have equal, if not zero, reaction rates. The concentrations of a products and reactants do not change on a net basis as a result. Dynamic equilibrium is the name given to such a situation.

This is due to the fact that the horse's center of gravity is closer to the front hooves, and thus the front hooves must exert a greater force in order to keep the horse balanced.

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Defination wheel and axle​

Answers

a simple lifting machine consisting of a rope which unwinds from a wheel on to a cylindrical drum or shaft joined to the wheel to provide mechanical advantage. reeeeeeeeeeeeeeeeeeeeeeeeee

Other Questions
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