please help me ?
physics

Please Help Me ?physics

Answers

Answer 1

The wavelength of the first light is 5 x 10⁻⁶.

The wavelength of the second light is 6.5 x 10⁻⁶.

The wavelength of the third light is 4 x 10⁻⁶.

Grating constant, d = 5 x 10⁻⁵m

An optical element having a periodic structure that divides light into several beams that move in different directions is known as a diffraction grating.

It is an alternate method of using a prism to view spectra. Typically, the divided light will have a maximum at an angle when light is incident on the grating.

The expression for the diffraction grating is given by,

nλ = d sinθ

1) sinθ = 10 x 10⁻²/1 = 10⁻¹

So, the wavelength of the light is,

λ = d sinθ

λ = 5 x 10⁻⁵ x 10⁻¹

λ = 5 x 10⁻⁶m

2) sinθ = 13 x 10⁻²/1 = 1.3 x 10⁻¹

So, the wavelength of the light is,

λ = d sinθ

λ = 5 x 10⁻⁵x 1.3 x 10⁻¹

λ = 6.5 x 10⁻⁶m

3) sinθ = 8 x 10⁻²/1 = 8 x 10⁻²

So, the wavelength of the light is,

λ = d sinθ

λ = 5 x 10⁻⁵x 8 x 10⁻²

λ = 4 x 10⁻⁶m

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Related Questions

Name and define the SI unit of magnetic field?​

Answers

Answer:

The tesla is the SI unit for the magnetic field (T). One tesla is the magnetic field in which a charge of one coulomb travelling perpendicular to the magnetic field at a velocity of 1 m/s receives a force of one newton.

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What task can be performed to align and/or clean inkjet nozzles? a. calibration b. fusing c. charging d. cycling

Answers

The task that can be performed to align and/or clean inkjet nozzles is (a.) calibration.


Calibration is the process of adjusting and aligning the nozzles in an inkjet printer to ensure that they dispense ink accurately and uniformly onto the paper. This is important for producing high-quality prints with sharp and vibrant colors.

During the calibration process, the printer software or control panel guides you through a series of steps to align the nozzles. This may involve printing a test pattern and then selecting the best alignment option based on the printed results. The printer will make adjustments to the firing sequence and timing of the nozzles to correct any misalignment issues.

In some cases, inkjet nozzles can also become clogged or dirty, affecting the print quality. Cleaning the nozzles can help remove any dried ink or debris that may be blocking the flow of ink. This can be done through the printer software or control panel by selecting the cleaning option. The printer will perform a cleaning cycle, which typically involves ejecting small amounts of ink through the nozzles to clear any obstructions.

In conclusion, the task that can be performed to align and/or clean inkjet nozzles is calibration. This process ensures accurate ink dispensing and can be done through the printer software or control panel by following the alignment instructions. Additionally, if the nozzles become clogged or dirty, cleaning can be performed to remove any obstructions and improve print quality.

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At the center, 6 unmarked red balls are interspersed with 4 blue balls marked with plus signs. A green cloud with 2 concentric white lines surrounds the center, with 2 small green balls marked with minus signs on the inner white line and 2 small green balls marked with minus signs on the outer white line. How many neutrons does this atom have? 4 6 10 14

Answers

Answer:

10

Explanation:

Amu denotes for unified atomic mass.

it is mostly used to define the atom's mass and molecules.

we know that

One unit of amu is 1 ÷ 12 of the mass of a nuclide 12C

And 1 u = 1.660 538 921 × 10-27 kg

In the inside we can found that there is 10 nucleons so here the alss of the atoms would be 10 amu  

Answer:

guy above me is right

Explanation:

_____ is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force

Answers

By definition, Weight is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force.

Weight is called the action exerted by the force of gravity on the body.

The mass (amount of matter that a body contains) of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.

The formula that allows you to calculate the weight of any body is:

P = m×g

where:

P = weight measured in N. m = mass measured in kg. g = acceleration of gravity measured in m/s². The acceleration of gravity g is the same for all objects that fall due to gravitational attraction, regardless of their size or composition. For example, as an approximate value on Earth, g = 9.8 m/s².

Then, the weight of an object is the force of gravity on the object, that is, the weight will vary according to the force of gravity that acts on it. So the correct answer is:

Weight is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force.

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One source error is __________, and one of its solutions is having a lie scale inserted into the assessment. a. social desirability bias b. deliberate deception c. response bias d. response set please select the best answer from the choices provided a b c d

Answers

One source error is deliberate deception and one of its solutions is having a lie scale inserted into the assessment.]

What is the error?

An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.

The discrepancy between the calculated value and the correct value is referred to as an "error" in statistics.

When a person is completely aware of what they are doing, they are engaging in deception. They are concealing the truth and making a deliberate decision to tell someone something that is false.

When describing a magic trick, such as a sleight of hand, the term deception can also be used.

When there are repetitive questions that ask the same questions over and over with different formats to check if the responses are constant over time, lie scales are utilized.

Hence one source error is deliberate deception and one of its solutions is having a lie scale inserted into the assessment.

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How many solutions does the equation sin 2x = 1.55 - 2x^2
have? Use Newton's method to find them.

Answers

We can conclude that the given equation $\sin(2x) = 1.55 - 2x^2$ has one solution $x \approx 0.673$. The given equation is: $$\sin(2x) = 1.55 - 2x^2$$.

Use Newton's method to find the solutions to the equation: To use Newton's method, we need to get an initial approximation value $x_0$. To do this, we can plot the given equation and try to find the intersection point of the equation and the $y$-axis. Graphing the two functions on the same graph, we get: Graph of $\sin(2x)$ and $1.55 - 2x^2$ on the same axes.

It appears that the intersection point is close to $x_0=0.7$. Therefore, we will use $x_0=0.7$ for Newton's method. The recursive formula for Newton's method is:

$$x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}$$Where $f(x) = \sin(2x) - 1.55 + 2x^2$ and $f'(x) = 4x - 2\cos(2x)$.

We plug in $x_0=0.7$ and get:$$x_1 = 0.7 - \frac{\sin(1.4) - 1.55 + 2(0.7)^2}{4(0.7) - 2\cos(1.4)} = 0.657$$

We continue the process and get:$$x_2 = 0.673$$$$x_3 = 0.673$$

Thus, we can conclude that the given equation $\sin(2x) = 1.55 - 2x^2$ has one solution $x \approx 0.673$.

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Why will air sink if it is colder than the air around it? ​

Answers

Answer:

The molecules in hot air are moving faster than the molecules in cold air.

research on addictive drugs most clearly indicates that:
a. the medical use of morphine to control pain typically leads to addiction.
b. most of America's ex-smokers were able to kick the habit on their own.
c. addictions to narcotic drugs can't be overcome without professional treatment programs.
d. relationship dependencies have the same addictive characteristics as drug dependencies.

Answers

Correct answer is c. Research on addictive drugs most clearly indicates that addictions to narcotic drugs, including morphine, can't be overcome without professional treatment programs. Narcotic drugs are highly addictive, and the withdrawal symptoms can be severe and even life-threatening. Therefore, it's crucial to seek professional help to manage addiction to these drugs.

While some individuals may be able to quit smoking on their own, addiction to narcotic drugs is a much more significant challenge and requires professional support. Relationship dependencies, on the other hand, have similar psychological effects, but they are not the same as drug dependencies.Narcotic drugs are highly addictive and can lead to physical dependence, withdrawal symptoms, and other health problems. Professional treatment programs, such as medication-assisted treatment, behavioral therapy, and support groups, can help individuals manage their addiction, reduce the risk of relapse, and improve their overall health and well-being.

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Describe how a student should carry out an experiment to determine the specific heat capacity of water.

Answers

Answer:

Use an insulated beaker full of water. The insulation reduces heat loss. Use a top pan balance to measure the mass of the empty beaker and then the beaker and water. Calculate the mass of the water by subtracting. Measure the temperature of the water before heating using a thermometer. Use a heater with an ammeter connected in series to measure the current in the heater and a voltmeter in parallel with the heater to measure the pd. Record the time the heater is on and measure the end temperature of the water. Use E = I × V × t  to determine energy supplied to the Water. Use ΔE = m × c × ΔΘ to determine the specific heat capacity of the water.

One of the first constellations, I Was early seen as strength in the sky. The Pleiades, found on my shoulder, Tamely follow my lead. Far bolder Are my horns with a famous star long dead And my piercing eye of orange-red. A cluster of stars joined by gravity's pull Brighten my face. I am ------, the ----!

Answers

The given passage describes the Taurus constellation. A cluster of stars joined by gravity's pull brighten my face. I am Taurus, the bull.

The following is the answer:

One of the first constellations, I was early seen as strength in the sky. The Pleiades, found on my shoulder, tamely follow my lead. Far bolder are my horns with a famous star long dead and my piercing eye of orange-red. A cluster of stars joined by gravity's pull brighten my face. I am Taurus, the bull.

The Taurus constellation is one of the oldest-known constellations, and it has been recognized since ancient times. Taurus is one of the twelve zodiac signs and is located in the northern hemisphere between Aries to the east and Gemini to the west. The constellation is a member of the Perseus family of constellations, which also includes Cassiopeia and Andromeda.

The brightest star in Taurus is Aldebaran, which is located at the bull's right eye. Aldebaran is a red giant star and is also one of the brightest stars in the sky. Another notable feature of the Taurus constellation is the Pleiades star cluster, which is located on the bull's shoulder.

The Pleiades is one of the most recognizable star clusters in the sky, and it has been known since ancient times. The Taurus constellation is associated with various mythological stories from different cultures and has been an essential part of human civilization's history.

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what minimum speed must you give the pail at the highest point of the circle if no water is to spill from it?

Answers

The minimum speed that must be given to the pail at the highest point of the circle if no water is to spill from it can be determined using the equation for centripetal acceleration.

Centripetal acceleration is given by the equation a = v²/r, where v is the speed, and r is the radius of the circle.

At the highest point of the circle, the centripetal acceleration must be equal to the acceleration due to gravity, g, in order for no water to spill from the pail.

Setting the two equations equal to each other and solving for v gives:

v²/r = g

v² = g*r

v = √(g*r)

Therefore, the minimum speed that must be given to the pail at the highest point of the circle if no water is to spill from it is √(g*r), where g is the acceleration due to gravity, and r is the radius of the circle.

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the peak wavelengths of stars, what are blackbody radiators, are determined by

Answers

The light's peak wavelength gets shorter as it emits more light. Black-body radiation is the thermal electromagnetic radiation that a black body emits when it is in thermodynamic equilibrium with its surroundings.

It possesses a distinct, continuous spectrum of wavelengths that are inversely correlated with intensity and solely dependent on the body's temperature, which is considered to be homogeneous and constant for the purposes of computations and theory.

A black body's intensity falls along with its temperature, and its peak shifts to longer wavelengths. The traditional Rayleigh-Jeans law and its ultraviolet catastrophe are displayed for comparison. If a hole is cut in the wall of a fully insulated container that is thermally equilibrated internally, the hole will still radiate black body radiation as long as it doesn't significantly affect the equilibrium.

Many common things will spontaneously release thermal radiation that can be roughly compared to black-body radiation.

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A spring had a spring constant of 48N/m. The end of the spring hangs 8m above the ground. How much weight can be placed on the spring so that the end of the spring is 2m above the ground

Answers

Answer:

28.8kg

Explanation:

h1=8m

h2=2m

h2-h1=6m

k=48 N/m

g=10m/(s^2)

w=F

10m=6*48

m=28.8kg

A spring had a spring constant of 48N/m. The end of the spring hangs 8m above the ground. How much weight

A note of frequency 200Hz has a velocity of 400m/s. What is the wave length of the note ​

Answers

\(\lambda=\frac{v}{f}=\frac{400}{200}=2[m]\)

what is the speed of a 0.145 kg object moving with a momentum of 5.80 ns? group of answer choices 36.0 m/s 40.0 m/s 1.19 m/s 0.841 m/s

Answers

The speed of the object is 40.0 m/s.

The momentum of an object is defined as the product of its mass and velocity. Mathematically, momentum (p) is given by:

p = m × v
where m is the mass of the object and
v is its velocity.

In this case, the momentum is given as 5.80 ns (newton-seconds) and the mass of the object is 0.145 kg. To find the velocity (speed) of the object, we can rearrange the equation to solve for v:

v = p / m

Substituting the given values, we have:

v = 5.80 ns / 0.145 kg

Calculating the result, we find:

v ≈ 40.0 m/s

Therefore, the speed of the object is approximately 40.0 m/s.

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HELP PLEASEEE

12) A 200 kg weight is suspended by two ropes, each 60° above horizontal as shown below. What is the tension in each rope?

NUMBER 12

HELP PLEASEEE 12) A 200 kg weight is suspended by two ropes, each 60 above horizontal as shown below.

Answers

When the weight and angles are given then the tension in both the ropes are calculated as 116.27 N each.

What is meant by static equilibrium?

If an object is held stationary, then all the forces must balance and this is called static equilibrium.

In classical mechanics, a particle is said to be in mechanical equilibrium if  net force on that particle is zero. A physical system made up of many parts is in mechanical equilibrium if net force on each of its individual part is zero.

As ΣFx=0

So, −T1cos60°+T2cos60°=0

Then, T1=T2(cos60°/cos60°)

As, ΣFy=0

So, T1sin60°+T2sin60°−200=0

Then, T2cos60°/cos60°(sin60°)+T2sin60°−200=0

T2 *0.86 +T2 * 0.86- 200= 0

1.72 T2= 200

We get, T2= 116.27 N

T1=T2cos60°/cos60°

So, T1 = 116.27 N

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Review the following situations and determine whether each is an elastic collision or an inelastic collision. Choose the situations that are elastic collisions. Select all that apply.
A. Momentum is conserved; kinetic energy is not.
B. A moving hockey puck strikes one at rest; the objects exchange velocity.
C. Momentum and kinetic energy are conserved.
D. A collision between a volleyball and a basketball occurs; there is no deformation.
E. After a collision, objects are stuck together, moving together.

Answers

Answer:

Your answer would be D.

How does a change in the solar constant impact the absorption of shortwave radiation and the emission of longwave radiation by the earth-atmosphere system?.

Answers

Solar constant never change, and hence there is no change in shortwave as well as longwave radiation by the earth's atmosphere

Solar constant is the rate at which the solar energy from the sun intercepts the earth's surface. It's value is 1,338watts per square meter.

Long wave radiation is a type of radiation emitted from earth whose wavelength ranges from 4 to 30 micrometers. While shortwave radiation is the radiant energy which is produced by the sun whose wavelength ranges from infrared to ultraviolet through visible.

We know that solar constant never change (constant), and the amount of shortwave that reaches the earth's atmosphere is called solar constant. As the solar constant does not change, there will be no change in shortwave as well as longwave radiation by the earth's atmosphere.

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How many hours will it take you to go 13 miles at a speed of 4 miles per hour?

A)1.3
B) 1.625
C)3.25
D)2.17

Answers

Answer:

C) 3.25

Explanation:

4•3=12

4•.25= 1

So add those together and you get 13.

C)3.25 is the answer

what element has 3 protons and 4 electrons?

Answers

Answer:

Li⁻

Explanation:

# of protons = # element on the Periodic Table.

# of protons (+) + # of electrons (-) = overall charge

3 protons is the 3rd element on the Periodic Table: Lithium

All elements on the Periodic Table have a neutral charge. Lithium neutral has 3 protons and 3 electrons.

We are given 4 electrons; 3 + -4 = -1 charge overall.

Therefore, our ion is Li⁻

Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.

Answers

The star is moving away from Earth at a velocity of 1.8 x 106 m/s.

The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.

The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.

The velocity of a star moving away from Earth can be determined using the equation:

v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).

In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.

The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.

Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.

Therefore, velocity of star 1.8 x 106 m/s.

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6. Check your understanding; Use the equation for acceleration to determine the acceleration for
the following two motions

6. Check your understanding; Use the equation for acceleration to determine the acceleration forthe following

Answers

Answer:

#A

Initial=u=0m/sFinal=8m/s=vTime=4s=t

Acceleration=a

\(\\ \tt\hookrightarrow a=\dfrac{v-u}{t}=\dfrac{8}{4}=2m/s^2\)

#B

Initial=u=8m/sFinal=v=0m/sTime=4s=t

\(\\ \tt\hookrightarrow a=\dfrac{0-8}{4}=\dfrac{-8}{4}=-2m/s^2\)

Answer(s):

Practice A: 2 m/sPractice B: -2 m/s

Solution for Practice-A:

We know that:

Formula: Acceleration = v₁ - v₂/tv₁ = Final velocityv₂ = Starting velocityt = Time

Solution:

v₁ - v₂/t => 8 - 0/4 => 8/4=> 2/1=> 2 m/s

Hence, the acceleration is 2 m/s for practice A.

Solution for Practice B:

We know that:

Formula: Acceleration = v₁ - v₂/tv₁ = Final velocityv₂ = Starting velocityt = Time

Solution:

v₁ - v₂/t => 0 - 8/4 => -8/4=> -2/1=> -2 m/s

Hence, the acceleration is -2 m/s for practice B.

Hoped this helped!

light cannot _ around objects ​

Answers

Answer:

mark me Brainliest

Explanation:

light cannot travel around objects

Answer:

Translucent objects allow light to pass through them but they distort it.

Explanation:

Example: frosted or stained glass. Opaque objects do not allow light to pass through them. Example: brick walls, human beings.

If a train approaches you (sitting in the bench ) at a velocity of 35 m/s, what frequency will you hear as it sounds its whistle at 188 Hz? speed of sound= 345 m/sA) 188 HzB) 170.7 HzC) 209.2 HzD) 202.7 Hz

Answers

Given:

The speed of the train is,

\(v_s=35\text{ m/s}\)

The actual frequency of the whistle is,

\(f=188\text{ Hz}\)

The speed of sound in air is,

\(v=345\text{ m/s}\)

To find:

The frequency heard by the observer

Explanation:

The apparent frequency when the train approaches the observer is given by,

\(\begin{gathered} f_{apparent}=f\frac{v}{v-v_s} \\ =188\times\frac{345}{345-35} \\ =188\times\frac{345}{310} \\ =209.2\text{ Hz} \end{gathered}\)

Hence, the frequency heard by you is 209.2 Hz.

How can you describe the differences between waves?

Answers

Waves can be classified into two main types, which are mechanical and electromagnetic waves. They difference cab be described based on the way they move through space and matter.

Mechanical waves are those that require a medium to travel through, whereas electromagnetic waves don't require a medium. Based on this, we can tell the difference between waves.

A wave is a disturbance that propagates through space and matter, transferring energy from one location to another without transporting matter.

Mechanical waves are classified as either transverse or longitudinal waves based on the orientation of their wave motion.

Electromagnetic waves are classified based on their frequency and wavelength, and they are divided into seven categories: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

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Two structural members A and B are bolted to a bracket as shown. Knowing that both members are in compression and that the force is P = 10 kN in member A and Q = 35 kN in member B, determine by trigonometry the magnitude and direction of the resultant of the forces applied to the bracket by members A and B.
The magnitude of the resultant of the forces applied to the bracket by members A and B is kN.
The direction of the resultant of the forces applied to the bracket by members A and B is ⦪ °.

Answers

The magnitude of the resultant of the forces applied to the bracket by members A and B is 37.8 kN. The direction of the resultant of the forces applied to the bracket by members A and B is 77.5°.

To determine the magnitude and direction of the resultant force applied to the bracket, we can use trigonometry. Let's break down the given forces into their horizontal and vertical components.

For member A, the force P = 10 kN is applied at an angle of 30° with the horizontal. Therefore, its horizontal component is P * cos(30°) = 10 kN * cos(30°) = 8.66 kN, and its vertical component is P * sin(30°) = 10 kN * sin(30°) = 5 kN.

For member B, the force Q = 35 kN is applied at an angle of 60° with the horizontal. Thus, its horizontal component is Q * cos(60°) = 35 kN * cos(60°) = 17.5 kN, and its vertical component is Q * sin(60°) = 35 kN * sin(60°) = 30.4 kN.

Next, we can sum up the horizontal and vertical components of the forces to find the resultant. The horizontal component is the algebraic sum of the horizontal components of forces A and B: 8.66 kN + 17.5 kN = 26.16 kN. The vertical component is the algebraic sum of the vertical components of forces A and B: 5 kN + 30.4 kN = 35.4 kN.

Using these horizontal and vertical components, we can calculate the magnitude of the resultant force using the Pythagorean theorem: R = sqrt((horizontal component)^2 + (vertical component)^2) = sqrt((26.16 kN)^2 + (35.4 kN)^2) = 37.8 kN.

To find the direction of the resultant force, we can use trigonometry again. The angle θ can be determined by taking the inverse tangent of the ratio of the vertical component to the horizontal component: θ = atan((vertical component) / (horizontal component)) = atan(35.4 kN / 26.16 kN) = 58.2°.

However, since both members A and B are in compression, we need to consider the force directions in the opposite sense. Therefore, the angle θ is 180° - 58.2° = 121.8°. However, since the angle is measured counterclockwise from the positive x-axis, the direction of the resultant force is 360° - 121.8° = 238.2°. To express it in the range of 0° to 360°, we subtract 180° from it: \(238.2° - 180° = 58.2°\).

Therefore, the magnitude of the resultant of the forces applied to the bracket by members A and B is 37.8 kN, and the direction is 58.2°.

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A cannonball is launched horizontally from the top of a 166 m
cliff with an original speed of 35.9 m/s.

Determine the horizontal displacement (in m) of the cannonball.

Answers

The horizontal displacement of the cannonball  is  65.75 meter.

What is speed?

Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

original speed: u= 35.9 m/s.

acceleration due to gravity: g = 9.8 m/s².

Initial height of the cannonball = 166 m.

Hence,  the horizontal displacement of the cannonball = u²/2g

= 35.9²/(2×9.8) meter

= 65.75 meter.

so, the displacement of the cannonball  is  65.75 meter.

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The index of refraction for a particular silica fiber is n=1.44. If you shine light on the fiber at an angle of θ i = 38 degrees from the air, what would the refracted angle be? How would your answer change if the diamond were immersed in water (that is, the light was coming from a region with n=1.33)?

Answers

When light passes from air to a silica fiber with an index of refraction of 1.44, and the incident angle is 38 degrees, the refracted angle can be calculated using Snell's law.

The refracted angle in this case would be approximately 24.2 degrees. If the light were coming from a region with an index of refraction of 1.33 (such as water), the refracted angle would be different.

Snell's law relates the angles of incidence and refraction to the indices of refraction of the two media involved. It can be expressed as n1sin(θi) = n2sin(θr), where n1 and n2 are the indices of refraction of the two media, θi is the angle of incidence, and θr is the angle of refraction.

For the first scenario, where the light is coming from air and entering a silica fiber with n = 1.44, and the incident angle is θi = 38 degrees, we can solve Snell's law for the refracted angle. Plugging in the values, we get:

1sin(38) = 1.44sin(θr)

sin(θr) = (1*sin(38))/1.44

θr ≈ 24.2 degrees

Therefore, the refracted angle in this case would be approximately 24.2 degrees.

For the second scenario, where the light is coming from a region with n = 1.33 (such as water) and entering the silica fiber with n = 1.44, the refracted angle would be different. The specific value of the refracted angle would depend on the incident angle, which is not provided in the question. However, we can determine that the refracted angle would be smaller compared to the first scenario because water has a lower index of refraction than air. This means that light would bend less when entering the fiber from water compared to air.

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A 90 kg halfback runs north and is tackled by a 120 kg opponent

running south at 4 m/s. The collision is perfectly inelastic. Just after the

tackle, both players move at a velocity of 2 m/s north. Calculate the

velocity of the 90 kg player just before the tackle

Answers

Perfect inelasticity governs the collision. Both athletes go north at a speed of 2 m/s just after the tackle. Prior to the tackle, the 90 kg athlete was moving at a speed of 6 m/s south.

In an inelastic collision, momentum is preserved, hence we may apply the equation: (m1 * v1) plus (m2 * v2) equals (m1 + m2) * vf.

The following is the result of substituting the above values: (90 kg * v1) + (120 kg * (-4 m/s)) = (90 kg + 120 kg) * 2 m/s

When we simplify the equation, we obtain: 90v1 - 480 = 210 90v1 = 690\sv1 = 7.67 m/s They move at a speed of -4 m/s. As a result, the player weighing 90 kg was moving at the following speed right before the tackle: south

Nevertheless, the question specifically asks for the northward velocity shortly before the tackle, therefore we must adjust the sign:

North: v1 = -11.67 m/s plus 2 m/s equals -9.67 m/s

Prior to the tackle, the 90 kg athlete was moving at a speed of 6 m/s south.

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Convert 10.3 m/s to rotations per minute (rpm)

Answers

98.35 rpm would be the correct answer
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