Use the information from the graph to answer the
question.
What is the acceleration of the object?

Use The Information From The Graph To Answer Thequestion.What Is The Acceleration Of The Object?

Answers

Answer 1

The magnitude of the velocity change increases with lengthier acceleration. When acceleration is constant, the change in velocity is directly proportional to time.

What change in acceleration due to linear velocity?

The rate at which the velocity of any moving object changes is measured by acceleration. The velocity change divided by the time represents the acceleration. Both the magnitude and the direction of acceleration are present.

Therefore, An object's motion can be depicted by a velocity-time (or speed-time) graph if it moves in a straight line. The line's gradient is equal to the object's acceleration.

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Related Questions

In general, what is true of very massive stars (those with eight or more solar masses)?
A. They have so much more hydrogen fuel than low-mass stars that it takes them much longer to use it up than stars with less mass.
B. They skip the hydrogen-burning stage altogether and start their lives fusing iron.
C. They go through their hydrogen fuel supply much more quickly than low-mass stars.
D. All of them have already gone supernova.

Answers

Answer:

Most stars take millions of years to die. When a star like the Sun has used up all its hydrogen fuel, it expands into a red giant. It may be millions of kilometers in diameter, being large enough to engulf the planets Mercury and Venus.

After shedding its outer layers, the star collapses into a very dense white dwarf. A teaspoon of matter from a white dwarf would weigh up to 100 tons. Over trillions of years, the white dwarf cools and becomes invisible.

Stars heavier than eight times the mass of the Sun end their lives very suddenly. When they run out of fuel, they expand into red supergiants. They try to stay alive by consuming different fuels, but this only works for a few million years. After that, they produce a huge supernova explosion.

Explanation:

two planets in circular orbits around a star have speeds of v and 2v. (a) what is the ratio of the orbital radii of the planets? (b) what is the ratio of their periods?

Answers

The ratio of the orbital radii of the planets is  4:1.

The ratio of their periods is 8:1.

What is orbital radius and periods in circular motion?

Planetary bodies circle the Sun according to Kepler's three laws. They explain how planets orbit the Sun in elliptical fashion, how they traverse the same amount of space in a given length of time regardless of where they are in their orbit, and how their orbital periods are related to the size of their orbits (its semi-major axis).

An object's orbital radius is the typical distance it travels around a bigger object. An illustration would be that the Sun and Earth are typically 150 million kilometres apart. The orbital radius is also this.

Let the mass of the planet be m and the mass of the star be M.

r = radius of ordit

v = speed

We know that

gravitational attraction = centripital force

GMm/r^2 = mv^2/r

[tex]v = \sqrt{GM/r}[/tex]

Hence

v  ∝ 1/[tex]\sqrt{r}[/tex]

a) Here v₁/v₂ = v/2v = [tex]\sqrt{\frac{r2}{r1\\\ }[/tex]  

squuaring both sides

1/4 = r2/r1

Thus r1/r2 = 4/1

Hence ratio of orbital radii is 4:1.

b) As per keplers law of planetary motion,

T^2 ∝ r^3

[tex]\frac{T_{v} ^{2} }{T_{2v} ^{2} } = \frac{r_{v} ^{3} }{r_{2v} ^{3} }[/tex]

[tex]\frac{r_{v} ^{3} }{r_{2v} ^{3} } = 4^{3} = 64[/tex]

[tex]\frac{T_{v} }{T_{2v}} = \sqrt{64} = 8[/tex]

Thus ratio of time periods is 8:1.

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Si ilumino un objeto verde con luz blanca ¿ de que color se vera ?

Answers

Answer: Un objeto verde aparece negro con cualquier otra luz que no sea verde

Explanation:

a jumbo jet has a mass of 100,000 kg. the thrust for each of its four engines is 50,000 n. what is the jet's acceleration when taking off?

Answers

If a jumbo jet has a mass of 100,000 kg  and thrust for each of its four engines is 50,000 n, so the acceleration is 2 m/s².

What is the acceleration of a jet?

From the question, we are told that

A jumbo jet has a mass of mj = 100,000 kg

The thrust is given F = 50,000 N

Due to  four engines  4 x F

Ft  =  4  x  50,000 n = 200000N

Acceleration = Ft/m

Substituting values = 2N/kg

N = kg. m/s²

So, a = 2 kg. m/s²/kg

Therefore, jet's acceleration when taking off is 2 m/s².

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write a general expression for the frequency of any note the violinist can play in this manner, in terms of the fundamental frequency f1 and the n, the number of antinodes on a standing wave.

Answers

A standing wave with one antinode in a string means fundamental mode of vibration  being formed at the lowest frequency.

Frequency = f

String length = l

We need to drive a formula of the speed of the wave

Using formula of fundamental frequency

f = v / λ

We know that,

λ = 2L

f = v / 2L

Where, v = speed of wave

λ = wavelength of the wave

f = frequency

The frequency of the wave is v / 2L

Therefore, the lowest frequency at which a standing wave is possible because standing can occur only at a fundamental frequency and at odd harmonics --> the lowest frequency.

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a spinning figure skater pulls his arms in as he rotates on the ice. as he pulls his arms in, what happens to his angular momentum l and kinetic energy k?

Answers

It reduces the moment of inertia denoted by (I). This moment of inertia is directly proportional to (MR)² Where M = mass & R = distance from the rotational axis. Since the net external torque is absent, angular momentum (L) remains unchanged as L= I.W, and Kinetic energy or angular speed increases.

What is a Moment of Inertia?

The amount that is expressed by a body's ability to resist angular acceleration is calculated as the product of each particle's mass and the square of its distance from the rotational axis.

What is Torque?

The rotational counterpart of linear force is torque. The moment of force is another name for it. It illustrates how a force can cause a change in the body's rotational motion.

Hence, the net external torque is absent, angular momentum (L) remains unchanged as L= I.W, and Kinetic energy or angular speed increases.

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a particular accelerator can accelerate electrons to an energy of 32 gev. what is the de broglie wavelength of these electrons?

Answers

the de broglie wavelength of these electrons is 1.227   A˚

 V=32 volts

de-Broglie wavelength of electron     λ= 2meV​ h

​ ∴    λ= 2(9.1×10 −31)(1.6×10 −19 )(100)​ 6.6×10 −34

​ Or     λ= 5.4×10 −10

6.6×10 −34

  m⟹   λ=1.227×10 −10

m=1.227   A˚

De Broglie wavelength is a term used to describe the wavelength () that is connected to an item in relation to its momentum and mass. The de Broglie wavelength of a particle is often inversely related to its force. A particle's de Broglie wavelength reveals the length scale at which wave-like characteristics are significant for that particle. The letters or dB are frequently used to denote the De Broglie wavelength. The de Broglie wavelength for a particle with momentum p is given by the formula: dB = hp, where h is the Planck constant.

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Why did the big bang not produce a significant proportion of elements heavier than helium?

Answers

By the time helium could survive, the temperature had become too low for heavier elements to form.

A Big Bang event is a physical theory that explains how the universe expands from a dense and hot initial state. [1] Various cosmological models of the Big Bang describe the evolution of the observable universe from the earliest known epochs to subsequent large-scale forms.These The model comprehensively explains a wide range of observed phenomena, including light element abundance, cosmic microwave background (CMB), and large-scale structure. The general uniformity of the universe, known as the flatness problem, is explained by cosmic inflation. This is a sudden and very rapid expansion of space at the initial moment. But physics currently lacks a generally accepted theory of quantum gravity that can successfully model the early states of the Big Bang.

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What is the wavelength of an electromagnetic wave if its frequency is 5.0 x 10 14 Hz?

Answers

The wavelength of 6 x 10⁻⁷m is expected when frequency is 5 x 10¹⁴.

If the equations are different, the impact is huge. And the accumulation of matter consistent with the existence of life is wrong. That's one reason why it isn't. The Anthropic Principle states that in a universe incompatible with life, no life is arguing about it. When there are many universes, we occupy only the universe that nourishes us.

If our universe had 4 spatial dimensions (on our life scale), the equation would be 1/R. But every time we pass the jackhammer, we are reminded that our scale only has three spatial dimensions. The inverse square equation is not about the forces that follow it. The equations are about the nature of space (not space-time, just space, by the way).

E=hv

E=hc/y

v=c/y

y=c/v

y=3 x 10⁸/5 x 10¹⁴=6 x 10⁻⁷m

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a thin lens has a focal length of 25.0 cm. (a) find the location of the image (in cm from the lens) formed by the lens when an object is placed p1

Answers

The distance when location of image is -27.8cm is 248.21 cm behind the lens and when location of image is -23.6 cm it is 421.43 cm front of lens.

What is formula for distance of images?

The Lens formula in optics describes the relationship between the distance of an object (o), the distance of an image I and the focal length (f) of the lens. Both convex and concave lenses may be made with the same lens formula. These lenses are really thin. For a spherical mirror, the focal length, image distance, and object distance are all related by the lens equation, often known as the lens formula.

Using lens formula we know that  

v = uf/u + f

f = 25 cm

a) given u = -27.8

Thus v = -27.8 x 25/ 25+ (-27.8) =  248.21 from lens behind the lens.

The image will be real, inverted and large.

b) given u =  -23.6

Thus v =  -23.6 x 25/ 25+ ( -23.6) =  421.43 from lens front the lens.

The image will be virtual,upright and enlarge.

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Complete question is:

A thin lens has a focal length of 25.0 cm (a) Find the location of the image (in cm from the lens) formed by the lens when an object is placed p1 27.8 cm in front of the lens. (Enter a negative distance if the image is in front of the lens.) cm from the lens Choose the correct description of the image. (Select all that apply.) inverted reduced virtual enlarged upright (b) Find the location of the image (in cm from the lens) formed by the lens when an object is placed p2-23.6 cm in front of the lens. (Enter a negative distance if the image is in front of the lens.) cm from the lens Choose the correct description of the image.

in lasik surgery, a laser is used to reshape the cornea of the eye to improve vision. the laser produces extremely short pulses of light, each containing 1.0 mj of energy.
A) In each pulse there are 9.7?1014 photons. What is the wavelength of the laser?
B) Each pulse lasts only 20 ns. What is the average power delivered to the eye during a pulse?

Answers

The wavelength of the laser is 19.4 nm and the average power delivered to the eye during a pulse is  50000 W.

(a) The energy of a laser pulse in terms of number of photons is =

= E = N X (hc / λ)

Where,

λ = wavelength

N = Number of photons in each laser pulse

h = Planck constant

c = Speed of light

We need to find the wavelength, then re-arrange the equation

= λ = N X (hc / E)

Converting the unit the energy from J to eV, we have,

= E = 1 X 10⁻³ [ 1 eV / 1.6 X 10⁻¹⁹ ]

= E = 6.25 X 10¹⁵ eV

Replacing,

= λ = N X (hc / E)

= λ = [ ( 9.7 X 10¹⁴ X 4.136 X 10⁻¹⁵ X 3 X 10⁸ ) /  6.25 X 10¹⁵ ]

= λ = 19.4 nm

(b) Energy = E = 1 mJ

Time = t = 20 ns

Thus, average power = p =

= p = E/t

= p = 1 X 10⁻³ / 20 X 10⁻⁹

= p = 0.05 X 10⁶

= p = 50000 W

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two bodies of equal mass are separated by a distance r. if you double the distance between them the new gravitational force will be

Answers

1/4 of the old gravity influence would remain.

Newton's universal principle of gravitation states that the attracting force among any two components is equal to the square of the length that separates them and equal to the ratio of their masses.

Gravitational pull is the term for something like the pressure which the planet exerts upon the object. Illustrations of movement caused by gravitational influence include the downward force of flow of water, the downward movement liquid flowing water, and the upward motion of a ball when it is tossed. Every two mass-containing items are attracted to one another by the gravitational force.

Since the force of gravity rarely aims to push masses apart, it is referred to as appealing since it constantly seeks to draw them towards.

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How do you find the scale factor of a dilation from a center point?

Answers

The scale factor of dilation from center point is found by conjugating the equation.

Dilation is a transform used to change the size of an object. Dilation is used to make objects larger or smaller. This transformation produces an image that is identical to the original shape.

However, there is a difference in the size of the shape. Dilation should stretch or shrink the original shape. This transformation is denoted by the term "scaling factor".

[tex]\alpha +mR+\beta \pi R^2=0\\\\dw^2.dt^2+M=0---(center)[/tex]

Enlarging an image by dilation is called enlargement.

When dilation creates a smaller image, it is called contraction.

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the moon has a mass of 1×1022 kg, and the gravitational field strength at a distance r from the planet is 0.001 n/kg. what is the gravitational force exerted on the moon while it is in orbit around the planet?

Answers

The gravitational force exerted on the moon while it is in orbit around the planet is 1 × 10¹⁹ N.

Given:

Mass of the moon (m) = 1 × 10²² kg

Gravitational field strength (g) = 0.001 N/kg

The gravitational force is given by:

Gravitational force (F) = mass of the moon (m) ×  gravitational field strength (g)

F = 1 × 10²²  ×  0.001

F = 1 × 10²² ×  0.001

F = 1 × 10¹⁹ N

Hence, The gravitational force exerted on the moon while it is in orbit around the planet is 1 × 10¹⁹ N.

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three guns are aimed at the center of a circle, and each fires a bullet simultaneously. the directions in which they fire are 1200 apart. two of the bullets have the same mass of 4.5 x 10-3 kg and the same speed of 324 m/s the other bullet has an unknown mass and a speed of 575 m/s. the bullets collide at the center and mash into a stationary lump. what is the unknown mass of the third bullet?

Answers

The bullet's undetermined mass is m1 = 1.458 x 103. Mass, in physics, quantitative measure of inertia, a fundamental property of all matter.

Newton's equations of motion state that when a body of mass m is subject to a net external force, the body's momentum changes and is represented by:

f = p/dt

Where:

P is the body's linear momentum.

As a result, the total momentum of the body remains constant in the absence of any external forces, i.e.

Calculation:

m2 = m3 = 4.5 x 10-3 kg

v2 = v3 =  575 m/s

The equal masses must move at angles of to each other in order for momentum to be zero in the y-direction.

θ1=180°, θ2=60°, θ3=-60°

Consequently, based on the conservation of momentum in the x-direction:

m₁ ₓ v₁ ₓ cos180° + m₂ ₓ v₂ ₓ cos60° + m₃ ₓ v₃ ₓ cos(-60°) = 0

m₁ ₓ 575m/s ₓ cos180° + 4.5 x 10-3 kg ₓ 324 m/s ₓ cos60° + 4.5 x 10-3 kg ₓ 324 m/s ₓ cos(-60°) = 0

-m1 ₓ 575m/s + 1.458 ₓ 0.5 + 1.458 ₓ 0.5 = 0

-m1 ₓ 575m/s + 0.729 + 0.729 = 0

-m1 ₓ 575m/s + 1.458 = 0

m1 = 1.458 ₓ 10⁻³

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If the earth is flat or a sphere, how to we prove it?

Answers

The earth is a sphere and the way, we can prove it , is attached in answer.

What is the prove that the earth is sphere?When looking at tall Chicago buildings from over Lake Michigan, ships in the ocean, or the sunset, you can see it twice if you observe it while lying down and then immediately get up. The plain truth is that there wouldn't be a horizon beyond which objects could disappear if the earth were flat. You could therefore view the Rocky Mountains in addition to the entirety of Chicago from across Lake Michigan.You may create a triangle with three 90 degree angles by walking 10,000 kilometers straight down the surface of the planet, turning 90 degrees to your right, walking another 10,000 kilometers, and then turning right again. This will bring you back to where you started. Any student of geometry will tell you that this is impossible on a flat surface.

This are the two practical prove of spherical shape of earth.

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What is the difference between infrared and radiation?

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The key difference between infrared radiation and ultraviolet radiation is that the wavelength of infrared radiation is longer than that of visible light, whereas wavelength of ultraviolet radiation is shorter than the wavelength of visible light.

The electromagnetic spectrum is the range of frequencies of electromagnetic radiation and their respective wavelengths and photon energies.

Ultraviolet radiation is more energetic than infrared. They have shorter wavelength and higher frequency.

Infrared waves have a wavelength 1000 times longer than ultraviolet waves and lower energy and frequency.

The majority of the infrared radiation on the earth comes from the sun. It is widely used in the night vision goggles.

Ultraviolet rays cause skin tanning and burns. Hot materials that are in space also emit UV radiations.

The question is incomplete. The complete question is, what is the difference between infrared radiation and ultraviolet radiation?

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Although not limited by the nec®, if a 15-amp residential circuit is to be loaded only up to its rating, how many outlets can be put on the 120-volt circuit if the outlets are rated at 120 va per outlet?

Answers

Either 15- or 20-amp receptacles can be powered by a 20-amp circuit. Receptacles connected to a branch circuit with a 30 amp rating.

An electric circuit is a path that current can travel. An electric circuit is made up of a battery or generator, an apparatus that provides power to the charged particles that make up the current, an apparatus that uses the current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines. Two fundamental laws that quantitatively describe the operation of electric circuits are Kirchhoff's laws and Ohm's law. Circuits in parallel and series. Electric circuits can be divided into a number of categories. Direct current only flows in one direction in a circuit. An alternating-current circuit transmits current that pulses back and forth repeatedly every second, much like the majority of domestic circuits.

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while sparring, katie punches arman in the shoulder. which statement is true about the forces katie and arman exert on each other?

Answers

Katie exerts a force on Arman's shoulder and Arman exerts a force on Katie's hand. It's the third law of motion, of equal and opposite reaction.

What is Newton's third law of motion?

If object A applies a force to object B, then object B must apply a force to object A in the opposite direction and of equal strength. This law illustrates a symmetry in nature whereby forces always occur in pairs and whereby no, body can exert a force without also being subjected to one.

What is Motion?

Motion is the shift in an object's location in relation to its environment over a specific amount of time.

What is Force?

An influence that can alter an object's motion is known as a force. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe forces.

Hence, Katie exerts a force on Arman's shoulder and Arman exerts a force on Katie's hand. It's the third law of motion, of equal and opposite reaction.

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A bicycle has a kinetic energy of 124 J. What kinetic energy would the bicycle have if it had
a) twice the mass and was moving at the same speed?
b) the same mass and was moving with twice the speed?
c) one-half the mass and was moving with twice the speed?
d) the same mass and was moving with one-half the speed?
e) three times the mass and was moving with one-half the speed?

Answers

Answer:

a) twice the mass and was moving at the same speed?

c) one-half the mass and was moving with twice the speed?

Explanation:

New KE = 248 Joules. Thus, in case of the same speed and twice the mass, the new kinetic energy will be 248 Joules.

Answer: i think A and C

Explanation:

What happens to rocks when temperature rises or decreases?

Answers

Rock expands and contracts as a result of temperature variations (with cold). The rock's structure deteriorates as this keeps happening over and over. It disintegrates with time.

What is Heat?

Heat is the energy that moves from one thing to another when temperatures are different. Heat passes from the hotter to the colder body when two bodies with differing temperatures are brought together. Usually, but not always, this energy transfer results in a rise in the heat of the colder body and a fall in the temperature of the hotter body.

By switching from one physical situation (or phase) to the other, such as melting from a solid to a liquid, sublimation from a solid to a vapor, boiling from a liquid to a vapor, or changing through one stable state to another, a substance can absorb heat without increasing in temperature.

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if the old radiator is replaced with a new one that has longer tubes made of the same material and same thickness as those in the old unit, what should the total surface area available for heat exchange be in the new radiator to achieve the necessary heat exchange rate at the recommended temperature gradient?

Answers

Total surface area = 3/2 * area of an old radiator.

Solution:

K = [tex]\frac{Qd}{A*changeinT}[/tex]

change in T =  ΔT  

Therefore New Area  ( A ) = 3/2 * area of the old radiator.

If you need faster cooling rates, replacing the rubber hoses with silicone hoses is one option. These can withstand higher heat, are less likely to break over time, and last longer. Apart from that, you can also upgrade the radiator fan and shroud to help with cooling. The radiator is an important component of the engine's cooling system.

Its main role is to spread the antifreeze/water mixture around the fins, letting off some of the engine's heat while drawing in the cool air before it passes through the rest of the engine. Replacing your home's radiator has a variety of benefits, and many properties will benefit from this.

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A 65-kg swimmer pushes on the pool wall and accelerates at 6 m/s^2. The friction experienced by the swimmer is 100 n. What is the magnitude of the force that the swimmer applies on the wall?.

Answers

For a 65-kg swimmer to push against the pool wall, there is a force of 490N applied, and the swimmer accelerates at a speed of 6 m/s2. The swimmer encounters 100 n of friction.

According to Newton's second law,

sum Force = mass × acceleration

Fm - Ff = ma

Fm is the moving force

If s the frictional force = 100N

mass = 65kg

acceleration = 6m/s²

Required

Moving force Fm

Substitute the given force into the expression and get Fm

Fm -100 = 65(6)

Fm -100 = 390

Fm = 390+100

Fm = 490N

Hence the force that will cause two carts to move is 490N.

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compared to a giant iceberg, a hot cup of coffee has group of answer choices more internal energy and higher temperature. a greater specific heat and more internal energy. higher temperature but less internal energy.

Answers

Compared to a giant Iceberg, a hot cup of coffee has higher temperature but less internal energy.

As we know that a cup of coffee is at a very higher temperature as compared to the idea because the Iceberg is a negative temperature.

But the Iceberg is supposed to have a higher internal energy in comparison through the coffee cup because the internal energy of a substance depends on its mass.

The internal energy of a substance is given by,

U = nC∆T

So, as we can see that the internal energy of the iceberg depend on the mass of the Iceberg which is very very larger than the coffee cup.

So we can upload that the coffee cup has higher temperature but less internal energy than the Iceberg.

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What is frequency of sound wave of wavelength 1.7 m and speed 340m S?

Answers

The frequency of the sound wave is found to be 200Hz.

The wavelength of the sound wave is 1.7 M and it is travelling with a speed of 340m/s.

The relationship between the frequency of a wave, speed of the wave and the wavelength of the wave is given by,

v = fy

Where,

V is the speed of the wave,

f is the frequency of the wave,

y is the wavelength of the wave.

Now, assigning all the values to the respective terms,

We get,

340 = f(1.7)

f = 200 Hz.

So, the frequency of the sound wave is 200Hz.

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given a double slit apparatus with slit distance 1 mm, what is the theoretical maximum number of bright spots that i would see when i shine light with a wavelength 500 nm on the slits?

Answers

The maximum number of the bright spots that you would see when i shine light with a wavelength of 500 nm = 4001

From the question we are told that

The  slit distance is : 1mm : [tex]10^{-3}[/tex] m

The  wavelength is  : 500 nm : [tex]500 * 10^{-9}[/tex] m

Generally the condition for interference is  

n * ∧ = d * sinФ

Where n is the number of fringe(bright spots) for the number of bright spots to be maximum  (Ф = 90)

=> sin 90 = 1    

So n = d/∧

substituting values

n = [tex]10^{-3}[/tex] / [tex]500 * 10^{-9}[/tex]

= 2000

given there are two sides when it comes to the double slit apparatus which implies that the fringe would appear on two sides so the maximum number of bright spots is mathematically evaluated as

n(max) = 2*n + 1

= 4001

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An object attached to a spring vibrates with simple harmonic motion as described by the figure below.uploaded imageFor this motion, find the following.(a) the amplitude(b) the period(c) the angular frequency(d) the maximum speed(e) the maximum acceleration(f) an equation for its position x in terms of a sine function (Do this on paper. Your instructor may ask you to turn in this work.)

Answers

A. The graph provided is a Displacement-Time Graph. The x-axis provides the displacement made by the object and the y-axis gives the time taken by the object to travel.

The amplitude of an object is defined as the maximum displacement made by the object. From the graph provided, the maximum displacement made by the object is 2cm.

Hence, as per the definition of Amplitude, the Amplitude of the object is 2cm.

The Amplitude of the object depends on the displacement made by the object. The maximum displacement is made when the object moves to an extreme position in an oscillation.

B. The object in a Simple Harmonic Motion moves from mean position to extreme positions. As the object moves from mean position to extreme position and reaches back to mean position, one oscillation or one cycle is said to be completed.

The graph represents the positive displacement when it moves to extreme position and the negative displacement as it returns from the extreme position.

The graph provided shows that for a complete one cycle or oscillation, the time taken is 4seconds.

Hence, as per the definition of Time period, the time period is 4 seconds. Therefore, the time period as ω = 2[tex]\pi[/tex]/T.

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) a rifle bullet is fired at an angle of 30e below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. how far from the base of the cliff does it strike the level ground below?

Answers

Horizontal distance the base of the cliff does it strike the level ground below traveled is  138.564 m (r1/r2 = 1/3.)

Here Vertical component of Velocity = 800*sin(30) = 400 m/sec

s = ut + 0.5*g*t62

80 = 400t + 4.9t^2

t = 0.2 sec

Horizontal Component of velocity = 800*cos(30) = 692.82 m/sec

Therefore, Horizontal distance traveled = 692.82*0.2 = 138.564 m

When we give something a beginning velocity, we call that thing a projectile, and gravity has an impact on that thing. Horizontal range is the length of the horizontal axis for a projectile. It would also move before returning to the original vertical position. The horizontal range then depends on the launch angle (theta), initial velocity (V 0), and gravitational acceleration. When we throw or project an object, it becomes a projectile and is in motion. When a projectile moves, only one acceleration is present, and it is directed vertically. The acceleration brought on by gravity, in other words (g). Both the X-Axis and the Y-Axis can be used with the motion equations separately.

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The diffusion coefficient of oxygen in blood has been measured to be 2.0 x 10-5 cm 2 /s.
(A) How long would it take an oxygen molecule in blood to travel 1 meter if it did so by diffusion rather than by being transported by the circulatory system? Consider the diffusion occurring in three dimensions.
(B) How long would it take an oxygen molecule to diffuse across a capillary that has a diameter of 40 μm? Consider the diffusion occurring in three dimensions.

Answers

The oxygen molecule will take 8.33 X 10⁷ s to diffuse in blood to travel a distance of 1 m and it will take 1.33 X 10⁷ s for oxygen molecule to diffuse across a capillary that has a diameter of 40 μm.

(a) The diffusion coefficient of oxygen in blood = D = 2 X 10⁻⁵ cm²/s

The distance moves by an oxygen molecules in blood = x = 1 m = 100 cm

Time taken by the blood to diffuse = t

The expression for the diffusion in three dimension is:

= t = x² / 6D

= t = 100 X 100 / 6 X 2 X 10⁻⁵

= t = 8.33 X 10⁷ s

(b) The diffusion coefficient of oxygen in blood = D = 2 X 10⁻⁵ cm²/s

The distance moves by an oxygen molecules in blood = x = 40 μm  

Time taken by the blood to diffuse = t

The expression for the diffusion in three dimension is:

= t = x² / 6D

= t = 40 X 40 / 6 X 2 X 10⁻⁵

= t = 1600 / 12 X 10⁻⁵

= t = 133.33 X 10⁵

= t = 1.33 X 10⁷ s

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How do you find the elastic potential energy of a stretched spring?

Answers

It is the potential energy stored in spring when it is stretched or deformed. It is equal to force multiplied by displacement. This energy is stored in the spring by virtue of its position. It is the work done to stretch the spring.

When spring is stretched, it undergoes displacement. It comes to its equilibrium position when force is removed. So, it exerts an equal and opposite force When it is stretched. Work is done by this force that is stored in the form of potential energy.

Since potential energy = force × displacement

and, force = spring constant × displacement

So, potential energy = spring constant × [tex](displacement)^{2}[/tex]

P.E. = k ×[tex]x^{2}[/tex]

Where,

k = spring constant

x = displacement caused due to stretching

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