A laser with a wavelength of 600 nm is passed through a diffraction grating with 600 lines per mm. How far from the grating must you place a screen with width w = 30 cm (width, not thickness) to just barely see both the left and right m = 2 maxima on the edges of the screen?

Answers

Answer 1

To see both the left and right m = 2 maxima on the edges of the screen, the screen should be placed at a distance of 1.53 m away from the diffraction grating.

Calculating the distance between the screen and the grating:

Let’s find out the angle θ that corresponds to the second-order maximum. The formula for diffraction grating is sin θ = mλ/d Where m = 2, λ = 600 nm = 600 x 10^-9 m, and d = 1/600000 m (since there are 600 lines per millimeter).

Substituting values, sin θ = (2 × 600 × 10^-9)/ (1/600000)= 0.0024So, θ = sin^-1 (0.0024) = 0.14°The horizontal distance between the central maximum and the second-order maximum is given by x = w tan θ= 30 cm × tan (0.14°) = 0.07 cm = 7 x 10^-4 mTo see both the left and right second-order maxima, the screen should be placed at a distance x from the central axis of the diffraction grating. This distance is equal to 2x = 14 x 10^-4 m. So, the total distance from the grating to the screen is given by L = d / sin θ + 2x.

Substituting values, we get L = (1/600000) / 0.0024 + 2 × 7 × 10^-4= 1.53 m. Therefore, the screen should be placed at a distance of 1.53 m away from the diffraction grating to see both the left and right m = 2 maxima on the edges of the screen.

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Related Questions

what is magnetism? explaination​

Answers

Answer:

Magnetism is the force exerted by magnets when they attract or repel each other.

Answer:

Magnetic fields are produced by pivoting electric charges, as per Hyper Physics. Electrons all have a property of angular momentum, or turn.

Explanation:

Hope this helps

4. List 3 detailed examples of Newton's 3rd Law.

Answers

Answer:  If one billiard ball hits another, the second will move with the same force as the first.

A child wants to jump to climb a tree (reaction), he must push the ground to propel himself (action).

A man deflates a balloon; the force with which the air comes out causes the balloon to move from one side to the other.

Explanation:

-Hitting A Wall

-Rowing a boat

-Walking

Explanation:

1.If you hit a Wall with your hands or legs, you get hurt. Why?

Because of Newton's Third Law. You hit the wall with a force and that exact same amount of force is returned by the wall.

2. While Rowing a boat, when you want to move forward on a boat, you paddle by pushing the water backwards, causing you to move forward.

3.While Walking, You push the floor or the surface you are walking on with your toes, And the surface pushes your legs up, helping you to lift your legs up.

Please help!!

If you move 3 meters East and move 4 meters north what is the distance and what is the displacement?

Answers

Answer:

Si un objeto se mueve en relación a un marco de referencia (por ejemplo, si una profesora se mueve a la derecha con respecto al pizarrón, o un pasajero se mueve hacia la parte trasera de un avión), entonces la posición del objeto cambia. A este cambio en la posición se le conoce como desplazamiento. La palabra desplazamiento implica que un objeto se movió, o se desplazó.

Explanation:

El desplazamiento se define como el cambio en la posición de un objeto. Se puede definir de manera matemática con la siguiente ecuación:

\text{desplazamiento}=\Delta x=x_f-x_0desplazamiento=Δx=x  

f

​  

−x  

0

​  

start text, d, e, s, p, l, a, z, a, m, i, e, n, t, o, end text, equals, delta, x, equals, x, start subscript, f, end subscript, minus, x, start subscript, 0, end subscript

x_fx  

f

​  

x, start subscript, f, end subscript se refiere al valor de la posición final.

x_0x  

0

​  

x, start subscript, 0, end subscript se refiere al valor de la posición inicial.

\Delta xΔxdelta, x es el símbolo que se usa para representar el desplazamiento.

Debemos ser cuidados al usar la palabra distancia, ya que hay dos maneras de usar el término en física. Podemos hablar acerca de la distancia entre dos puntos, o podemos hablar de la distancia recorrida por un objeto.

La distancia se define como la magnitud o el tamaño del desplazamiento entre dos posiciones. Observa que la distancia entre dos posiciones no es la misma que la distancia recorrida entre ellas.

Es importante darse cuenta que la distancia recorrida no tiene que ser igual a la magnitud del desplazamiento (es decir, la distancia entre dos puntos). De manera específica, si un objeto cambia de dirección en su trayecto, la distancia total recorrida será mayor que la magnitud del desplazamiento entre esos dos puntos. Ve los ejemplos resueltos a continuación.

You are building a display for a children's science museum in which a uniform, solid sphere of radius 0.123 m starts at rest at the top of a "hill" and rolls, without slipping, down a track and around a loop-the-loop of radius = 1.76 m. You have already determined that the ball has to be moving at a speed no less than 16 m/s at the top of the loop in order to make it around the loop without falling.

Answers

For the display in the children's science museum, we want to demonstrate the physics of a solid sphere rolling down a hill and around a loop-the-loop. The sphere has a radius of 0.123 m and starts at rest at the top of the hill. As it rolls down the track, it gains kinetic energy and rotational energy. However, in order to make it around the loop without falling, the sphere needs to have a minimum speed of 16 m/s at the top of the loop.

To create the display, we can use a model of the hill and loop made out of foam or other materials. We can then place the solid sphere at the top of the hill and give it a gentle push to start it rolling down the track. As it gains speed, it will start to rotate and pick up rotational energy as well. Once the sphere reaches the loop, it needs to have enough kinetic energy to make it around the loop without falling. This means it needs to be moving at a minimum speed of 16 m/s at the top of the loop. We can use a sensor or other measurement device to determine the speed of the sphere as it approaches the loop, and adjust the starting position or initial push as needed to ensure it reaches the minimum speed. Overall, this display will be a great way to teach children about the concepts of kinetic and rotational energy, as well as the physics of rolling and looping objects.

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Identify Variables - help

Identify Variables - help

Answers

In science, variables are factors or conditions that change or affect the outcome of a study. They can be classified into three types: independent variables, dependent variables, and controlled variables. Dependent variables are those that researchers measure to assess the impact of independent variables.

In science, variables are factors or conditions that change or affect the outcome of a study. They can be classified into three types: independent variables, dependent variables, and controlled variables. Identifying variables is critical in any research, as they enable scientists to control the study's conditions, determine cause-and-effect relationships, and achieve accurate results.
Independent variables are those that researchers manipulate to investigate their effect on the dependent variable. They are also called explanatory or predictor variables.

For instance, in a study investigating the effect of different levels of fertilizer on plant growth, the independent variable is the level of fertilizer.
Dependent variables are those that researchers measure to assess the impact of independent variables.

They are also called response variables. In the plant growth study, the dependent variable is the growth rate or size of the plants.
Controlled variables are those that researchers hold constant throughout the study to reduce the impact of extraneous factors on the outcome.

They are also called confounding or intervening variables. In the plant growth study, controlled variables include the type of plant, the amount of water, the light exposure, and the temperature.
In conclusion, identifying variables is crucial in scientific research to achieve accurate results, establish cause-and-effect relationships, and control the study's conditions. Independent, dependent, and controlled variables are the three types of variables used in scientific studies.

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this is confusind so plzzz help me

this is confusind so plzzz help me

Answers

ANSWER: It is a compound

the maximum speed of a 3.00-kg object in simple harmonic motion is 4.00 m/s. the maximum acceleration of the object is 5.00 m/s2. what is the period of simple harmonic motion?

Answers

The period of a 3.00kg object moving in a simple harmonic motion is 5.02s

Simple harmonic motion is a system where the object oscillates around the equilibrium position.

Based on the theorem, there are some formulas:

x(t) = A.cos t (ωt+∅)

x max = A

v max = Aω

a max = Aω²

ω = 2π/T = 2πf

From the question, we got some informations:

m = 3.00kg

v max = 4.00 m/s

a max = 5.00 m/s²

T = ?

We will use the formula for a max and v max to find the value of ω:

v max = Aω

v max = 4.00 m/s

Aω = 4.00 m/s ...(i)

a max = Aω²

5.00 = v max (ω)

5.00 = 4.00ω

ω = 1.25 rad/s ..(ii)

Next, we will use the Period formula:

ω = 2π/T

1.25 = 2π/T

T = 1.6π s

T = 5.02s

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the temperature measured in kelvin (k) is the temperature measured in celsius (c) increased by 273.15. this can be modeled by the equation k

Answers

The temperature in Kelvin (K) is equal to the temperature in Celsius (°C) plus 273.15.

The Celsius and Kelvin temperature scales are two common temperature scales used in science. The relationship between these two scales can be described by a simple equation.

To convert a temperature from Celsius to Kelvin, you add 273.15 to the Celsius temperature. This equation is derived from the fact that the Kelvin scale starts at absolute zero, which is -273.15°C. Therefore, to account for the offset between the two scales, 273.15 is added to the Celsius temperature to obtain the equivalent temperature in Kelvin.

For example, if you have a temperature of 25°C, you can convert it to Kelvin by adding 273.15:

25°C + 273.15 = 298.15 K

So, 25°C is equivalent to 298.15 K.

This equation holds true for any temperature value in Celsius. By adding 273.15 to a Celsius temperature, you obtain the corresponding temperature in Kelvin.

In summary, the equation K = °C + 273.15 represents the conversion between Celsius and Kelvin temperatures, where K represents the temperature in Kelvin and °C represents the temperature in Celsius. Adding 273.15 to a Celsius temperature gives the equivalent temperature in Kelvin.

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Kinematics practice problems Answers: 4. A race car is traveling at +76 m/s when is slows down at -9 m/s2 for 4
seconds. What is his new velocity?
5. An alien spaceship is 500 m above the ground and moving at a constant
velocity of 150 m/s upwards. How high above the ground is the ship after 5
Seconds?

Answers

The new velocity after 4 s is 40 m/s

The height of the spaceship above the ground after 5 seconds is 1,127.5 m

The given parameters for the first question;

initial velocity of the car, u = 76 m/sacceleration of the car, a = - 9 m/s²time of motion, t = 4 s

The new velocity after 4 s is calculated as;

v = u + at

v = 76 + (-9)(4)

v = 76 - 36

v = 40 m/s

(5)

The given parameters;

height above the ground, h = 500 mvelocity of spaceship, u = 150 m/stime of motion, t = 5

The height of the spaceship above the ground after 5 seconds is calculated as;

\(h_y = h_0 + ut - \frac{1}{2}gt^2\\\\h_y = 500 + (150\times 5) - (0.5\times 9.8 \times 5^2)\\\\h_y = 1,127.5 \ m\)

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How many oxygen (O) atoms are in a molecule of SiO2?
O A. 1
OB. 3
C. 4
D. 2

Answers

The answer is D. 2 because O2 means there is 2 atoms of oxygen.

Salmon often jump waterfalls to reach their
breeding grounds.
Starting downstream, 3.02 m away from a
waterfall 0.258 m in height, at what minimum
speed must a salmon jumping at an angle of
36.2° leave the water to continue upstream?
The acceleration due to gravity is 9.81 m/s².
Answer in units of m/s.

Answers

Answer:

easeaseaseas

Explanation:

Answer:

5.93 m/s (2 d.p.)

Explanation:

When a body is projected through the air with initial speed u, at an angle of θ to the horizontal, it will move along a curved path.

Therefore, trigonometry can be used to resolve the body's initial velocity into its vertical and horizontal components:

\(\textsf{Horizontal component of $u= u \cos \theta$}\)\(\textsf{Vertical component of $u= u \sin\theta$}\)

As the projectile is modeled as moving only under the influence of gravity, the only acceleration the projectile will experience will be acceleration due to gravity.

Constant Acceleration Equations (SUVAT)

\(\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}\)

When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.

If the salmon jumps at an angle of 36.2° then:

\(\textsf{Horizontal component of $u= u \cos 36.2^{\circ}$}\)\(\textsf{Vertical component of $u= u \sin36.2^{\circ}$}\)

Resolving horizontally

The horizontal component of velocity is constant, as there is no acceleration horizontally.

Resolving horizontally, taking → as positive:

\(s=3.02 \quad u=u \cos 36.2^{\circ} \quad v=u \cos 36.2^{\circ} \quad a=0\)

\(\begin{aligned}\textsf{Using} \quad s & =ut+\dfrac{1}{2}at^2\\\\3.02 & = (u \cos 36.2^{\circ})t+\dfrac{1}{2}(0)t^2\\3.02 & = (u \cos 36.2^{\circ})t\\\implies t&=\dfrac{3.02}{u \cos 36.2^{\circ}}\end{aligned}\)

Resolving vertically

Acceleration due to gravity = 9.81 ms⁻²

Resolving vertically, taking ↑ as positive and using the found expression for t:

\(s=0.258 \quad u=u \sin 36.2^{\circ} \quad a=-9.81 \quad t=\dfrac{3.02}{u \cos 36.2^{\circ}}\)

\(\begin{aligned}\textsf{Using} \quad s & =ut+\dfrac{1}{2}at^2\\\\0.258 & = (u \sin 36.2^{\circ})\left(\dfrac{3.02}{u \cos 36.2^{\circ}}\right)+\dfrac{1}{2}(-9.81)\left(\dfrac{3.02}{u \cos 36.2^{\circ}}\right)^2\\0.258&=3.02 \tan36.2^{\circ}-4.905\left(\dfrac{9.1204}{u^2 \cos^2 36.2^{\circ}}\right)\\0.258-3.02 \tan36.2^{\circ}&=-\dfrac{44.735562}{u^2 \cos^2 36.2^{\circ}}\\u^2&=-\dfrac{44.735562}{(0.258-3.02 \tan36.2^{\circ})(\cos^2 36.2^{\circ})}\\u^2&=35.18849443\\ u&=5.931989079\end{aligned}\)

Therefore, the minimum speed at which the salmon should leave the water is 5.93 m/s (2 d.p.).

PLEASE HELP ME!
A student notices that when calcium chloride is placed in water, the test tube feels warm. What kind of reaction has taken place?


A. Combustion Reaction


B. Endothermic Reaction


C. Exothermic Reaction


D. Endergonic Reaction

Answers

Answer:

C. Exothermic Reaction

Explanation:

Let's go through the choices

A. Combustion - Combustion is a highly exothermic / redox reaction which produces light and heat (i.e basically it bursts into flames). In the description, the only reaction is that it feels warm, hence this is not the answer.

B. Endothermic - Recall that endothermic reactions absorbs heat and thus cools the surroundings thereby making test tube feel cooler. this is obviously not the case so this is not the answer.

C. Exothermic - Recall that exothermic reactions releases heat and thus causes the surroundings thereby making the test tube feel warmer (or hotter in some cases). This describes our situation so THIS IS THE ANSWER.

D. Endergonic reactions require an input of energy from an external source that is adsorbed by the reaction (for example if heat was applied by an external source). In this case, there is no mention of additional energy sources. Hence this is probably not the answer.

difference between basic units and derived unit​

Answers

Answer:

Basic units=those units of measurement which do not depend upon any other units are called basic units. Example length, mass, time, current etc.

Derived units=those units which are expressed in terms of fundamental units are called derived units. Example area, volume, density etc.

A car travels 4 km due north and then 2 km due west going from town A to town B. The distance traveled by the car is __ km.

Answers

Answer:

6km

Explanation:

4km + 2km = 6km

a 1000-kg car traveling north at 15 m/s collides with a 2000-kg truck traveling east at 10 m/s. the occupants, wearing seat belts, are uninjured, but the two vehicles move away from the impact point as one. what is the velocity of the wreckage just after impact?

Answers

In this scenario, the 1000-kg car and 2000-kg truck are colliding and the resulting wreckage has a combined mass of 3000 kg, the velocity of the wreckage just after impact is 11.67 m/s.  

The combined velocity of the two vehicles after the collision can be calculated by applying the law of conservation of momentum.

The law of conservation of momentum states that the momentum of a system remains constant if there are no external forces acting upon it.

Momentum (p) is equal to the mass (m) multiplied by velocity (v), so p = mv.

The momentum of the 1000-kg car traveling north at 15 m/s is 15000 kg m/s, and the momentum of the 2000-kg truck traveling east at 10 m/s is 20000 kg m/s.

After the collision, the momentum of the combined wreckage is the sum of the two vehicles' momentums, or 35000 kg m/s.

As the combined mass of the wreckage is 3000 kg, the velocity of the wreckage just after impact is

35000/3000

= 11.67 m/s.

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ga flip coil serves to measure the strength of a magnetic field. it consists of a small coil of many turns connected to a sensitive ammeter. the coil is placed face on in the magnetic field and then suddenly flipped over. how does this indicate the presence of the magnetic field?

Answers

The GA flip coil serves as an effective tool to measure the strength of a magnetic field. It consists of a small coil with numerous turns connected to a sensitive ammeter, which can detect small changes in current.

The ga flip coil is a useful tool for measuring the strength of a magnetic field. This device consists of a small coil with many turns that is connected to a sensitive ammeter. The coil is placed face-on within the magnetic field and then quickly flipped over. When the coil is flipped, it cuts through the magnetic field lines, generating a voltage in the coil due to Faraday's law of induction. This voltage causes a current to flow through the ammeter, which is proportional to the strength of the magnetic field. Therefore, by measuring the current with the sensitive ammeter, we can determine the strength of the magnetic field. This technique is especially useful for measuring the magnetic field of small and localized regions, such as near a magnetic pole or in a small laboratory setup. Overall, the ga flip coil is a valuable tool for scientists and engineers to study the properties and behavior of magnetic fields in various applications.
This change in magnetic flux induces an electromotive force (EMF) in the coil according to Faraday's Law of Electromagnetic Induction. The induced EMF generates a current in the coil, which is detected by the sensitive ammeter. The presence of the magnetic field is indicated by the ammeter registering a change in current when the coil is flipped. By measuring the change in current and considering the coil's properties, such as the number of turns and its area, one can determine the strength of the magnetic field. The GA flip coil's quick and straightforward measurement process makes it a valuable tool for assessing magnetic fields in various applications.

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1. Which of the following wave characteristics is the same for any electromagnetic wave traveling through empty space?
A. frequency
B. period
C. speed D. wavelength

Answers

Answer: Electromagnetic waves are members of a family of waves with common properties called the electromagnetic spectrum. All electromagnetic waves: are transverse waves; can travel through a vacuum; travel at exactly the same speed in a vacuum, the speed of light, 300,000,000 m/s.

Explanation:

it is clear that the electromagnetic wave are transverse waves. similar to the wavelength. so it is the letter D.

the electric cell of internal resistance 0.5ohms delivers a current of 2 amperes when a resistance of 3 ohm is connected across it, find the electromotive force of the cell. Show all workings​

Answers

Answer:

7 volts

Explanation:

Applying,

E = IR+Ir................ Equation 1

Where E = electromotive force of the cell, I = current. R = External resistance, r = internal resistance.

From the question,

Given: I = 2 amperes, R = 3 ohm, r = 0.5 ohm

Substitute these values into equation 1

E = (2×3)+(2×0.5)

E = 6+1

E = 7 volts

Why was Mistahimaskwa worried about Treaty 6?

Answers

Mistahimaskwa, also known as Big Bear, was a Cree leader who lived in what is now Canada during the late 19th century. He was worried about Treaty 6, a treaty that was signed between the Canadian government and several First Nations in 1876.

Mistahimaskwa was concerned about the implications of the treaty for the traditional way of life of his people. The treaty granted the Canadian government control over vast tracts of land, including areas that were important for hunting and fishing. In exchange, the government promised to provide certain goods and services to the First Nations signatories. Mistahimaskwa was skeptical about the government's promises, and he feared that the treaty would result in the loss of his people's independence and autonomy. He also believed that the treaty would lead to conflicts between different First Nations groups, as they competed for resources and territory. Ultimately, Mistahimaskwa's fears were borne out, as the treaty failed to protect the rights and interests of the First Nations signatories. Many of the promises made by the government were not kept, and the treaty contributed to the displacement and marginalization of Indigenous peoples in Canada.

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what is faster?
A. train
B. bus
C. airplane
D. boat

Answers

Answer:

airplane

Explanation:

Answer:

a plane would go by far the fastest

Explanation:

it would be airplane ,train, boat, bus

Explain why two objects with the same mass, when dropped from the same height, may not reach the ground at the same time

Answers

This is because the Earth gives the same acceleration to everything, objects with different masses will still hit the ground at the same time if they are dropped from the same height.

What is Acceleration?

Acceleration is defined as the rate of change of velocity of an object, which is a vector quantity as well as direction, with respect to time. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

Two objects of equal mass cannot reach the ground at the same time when they have different sizes, shapes or densities, as these factors can affect their air resistance and terminal velocity so that they travel at different speeds.

Thus, this is because the Earth gives the same acceleration to everything, objects with different masses will still hit the ground at the same time if they are dropped from the same height.

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what are the 4 stages of planetary development for a terrestrial planet like earth?

Answers

The four stages of planetary development for a terrestrial planet like Earth are 1. accretion, 2. differentiation, 3. cratering, 4. tectonics.

The four stages of development of terrestrial planet are explained below:

1. Accretion: The gravitational attraction between tiny particles in the solar nebulae allowed them to clump together, creating planetesimals that collided and combined to create planets.

2. Differentiation: During this stage, denser materials such as iron sank to the center of the planet to form the core, while lighter materials such as silicates rose to the surface to create the crust.

3. Cratering: During this stage, the planet was heavily bombarded by comets and asteroids, causing craters and other impact features to form. This stage lasted for about the first billion years of Earth's existence.

4. Tectonics: Plate tectonics emerged during this phase, which is marked by volcanism, mountain formation, and the movement of continents.

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Refer to the following series circuit: + R R, = 17.2 V R, = 52 1:11 V = 15V R, 1 I Calculate the total power developed in the circuit. P= Choose... watts Choose... 15 120 98 Submit Answer Skip C Notes​

Refer to the following series circuit: + R R, = 17.2 V R, = 52 1:11 V = 15V R, 1 I Calculate the total

Answers

Series connection

R=R1+R2=10+5=15\(\Omega\)V=15V

Now

\(\\ \rm\Rrightarrow P=\dfrac{V^2}{R}\)

\(\\ \rm\Rrightarrow P=\dfrac{15^2}{15}\)

\(\\ \rm\Rrightarrow P=15W\)

Please help!!! I really need a solution to this question ASAP

Please help!!! I really need a solution to this question ASAP

Answers

Answer:

Please find attached the plot of distance against time created with Microsoft Excel

Explanation:

The table of the information about the train journey is presented here as follows;

\(\begin{array}{ccc}Station&Distance \ travelled/\,km&Time \taken \, / \, minutes \\Ayton&0&0\\Beeston&20&30\\Seatown&28&45\\Deeville&36&60\\Eton&44&70\end{array}\)

From the table data, the distance against time plot can be created by entering the data into a spreadsheet such as Microsoft Excel, then selecting a Chart option in the Ribbon under the Insert Menu after selecting the data

Please help!!! I really need a solution to this question ASAP

A group of 5th graders left school at 8:00 am on a field trip to a science museum 90 miles away. What is the average speed of the bus if they arrived at the museum at 10:00 am?

what time are you dividing to the distance? thanks! :)

Answers

Answer:

45

Explanation:

when plate movement rocks to break its called

Answers

It is called a fault

a photon having 55 kev scatters from a free electron at rest. what is the maximum energy (in kev) that the electron can obtain?

Answers

The maximum energy that the electron can obtain is approximately 29.2 keV.

What is an electron?

An electron is a subatomic particle that has a negative electric charge. Electrons are found outside the atomic nucleus in shells or orbitals and play a crucial role in determining the chemical properties of an element. Electrons are involved in chemical reactions, electrical conductivity, and thermal conductivity. They are also involved in the transfer of electrical energy in electronic devices such as computers, smartphones, and televisions. Electrons have a mass of approximately 9.11 x 10^-31 kg, which is much smaller than the mass of the other subatomic particles, such as protons and neutrons.

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Use the information from the graph to answer the
What is the total displacement of the object?
question.
m
Velocity vs. Time
Velocity (m/s)
40
30
20
10
0
Time (s)
0
5
10
15
20
25

Use the information from the graph to answer theWhat is the total displacement of the object?question.mVelocity

Answers

Answer:

The total displacement 560 m

Explanation:

 Given:

t₀ = 0 s

t = 25 s

V₀ = 10 m/s

V = 35 m/s

___________

D - ?

Acceleration:

a =  (V - V₀) / (t - t₀) = (35 - 10) / (25 - 0) = 25 / 25 = 1.0 m/s²

The total displacement:

D = V₀·t + a·t² / 2

D = 10·25 + 1.0·25² / 2 ≈ 560 m

What are the latitude and longitude coordinates for Location C? 1) 50N, 68S 2) 50N, 68W 3) 50S, 68E 4) 50S, 68W Which is farther- the distance between Location B and the Equator or the distance between Location C and the Equator? 1) Location B and the Equator 2) Location C and the Equator 3) Locations B and C are the same distance from the Equator 4) Cannot discern from the information provided

Answers

The latitude and longitude coordinates for Location C are given as 50S, 68W. Therefore, the correct answer is 4) Cannot discern from the information provided.

Latitude and longitudinal lines are shown on a globe of Earth as parallel and vertical lines. To determine which distance is farther, we need to compare the distance between Location B and the Equator with the distance between Location C and the Equator.

However, the latitude and longitude coordinates for Location B and the specific direction or coordinates of the Equator are not provided. Without this information, it is not possible to determine which distance is farther between Location B and the Equator or Location C and the Equator.

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A brick with a mass of 1 kg is lifted to the top of a 4 m high roof. It slips off the roof and falls to the ground. Calculate the gravitational potential energy of the brick at the top of the roof and on the ground once it has fallen.

Answers

The magnitude of potential energy at the top will be 39.2 J and it will be zero on ground because kinetic energy is maximum.

Gravitational Potential Energy

Gravitational potential energy of an object is the product of its mass and the height attained under the influence of acceleration due to gravity.

Given that a brick with a mass of 1 kg is lifted to the top of a 4 m high roof. It slips off the roof and falls to the ground.

The parameters involved are

m = 1 kgh = 4 mg = 9.8 m/s²

The gravitational potential energy of the brick at the top of the roof will be;

GPE = mgh

GPE = 1 × 9.8 × 4

GPE = 39.2 J

The gravitational potential energy of the brick on the ground will be zero because all the potential energy of the brick must have been converted to kinetic energy once it has fallen.

Therefore, the gravitational potential energy of the brick at the top of the roof will be 39.2 J and on the ground will be zero.

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