suppose that you have a reflection diffraction grating with n= 140 lines per millimeter. light from a sodium lamp passes through the grating and is diffracted onto a distant screen.

Answers

Answer 1

The angular positions of the first three orders of interference fringes on the screen are 5.73 × 10⁻⁶ rad, 11.47 × 10⁻⁶ rad, and 17.20 × 10⁻⁶ rad.

The distances between the central fringe and the first, second, and third order fringes are 0.0088 m, 0.0176 m, and 0.0264 m respectively.

Suppose you have a reflection diffraction grating with n = 140 lines per millimeter. Light from a sodium lamp passes through the grating and is diffracted onto a distant screen. It is required to determine the angular positions of the first three orders of interference fringes on the screen.

The grating equation is given by:d sin θ = mλ

Where:d is the spacing between grating linesθ is the angle of diffractionm is the order of the diffractionλ is the wavelength of light

From the above equation, it can be concluded that the angle of diffraction is inversely proportional to the number of lines on the grating, so the greater the number of lines, the smaller the angle of diffraction. The first order of diffraction is obtained for m = 1.

Therefore, the angle of diffraction is given by: d sin θ = mλsin θ = mλ/dsin θ = λ/d = 5.73 × 10⁻⁶ rad

The distance between the central fringe and the first order fringe can be calculated using the formula:y = L tan θy = L tan (λ/d)y = 0.0088 m

Similarly, the second-order diffraction is obtained for m = 2, so sin θ = 2λ/d and θ = 11.47 × 10⁻⁶ rad. The distance between the central fringe and the second order fringe can be calculated as:

y = L tan θy

= L tan (2λ/d)

y = 0.0176 m

Lastly, for m = 3,

sin θ = 3λ/d and

θ = 17.20 × 10⁻⁶ rad.

The distance between the central fringe and the third order fringe can be calculated as:y = L tan θy = L tan (3λ/d)y = 0.0264 m

The angular positions of the first three orders of interference fringes on the screen are 5.73 × 10⁻⁶ rad, 11.47 × 10⁻⁶ rad, and 17.20 × 10⁻⁶ rad. The distances between the central fringe and the first, second, and third order fringes are 0.0088 m, 0.0176 m, and 0.0264 m respectively.

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Related Questions

Why is it important to regulate temperatures in mammals

Answers

Answer:

If the body temperature falls below this temperature then enzymes will work too slowly for body process to occur fast enough the keep the mammal alive.

Explanation:

solid zinc oxide is added to hydrochloric acid to form zinc chloride in water. how many moles of zinc chloride will be produced when 112 grams of zinc oxide is used?

Answers

Number of moles of zinc chloride will be produced when 112 grams of zinc oxide used is  1.375 mol

The balanced chemical equation for the reaction between solid zinc oxide and hydrochloric acid is:

ZnO (s) + 2HCl (aq) → ZnCl2 (aq) + H2O (l)

From the balanced equation, we can see that 1 mole of ZnO reacts with 2 moles of HCl to produce 1 mole of ZnCl2 and 1 mole of H2O.

To determine the number of moles of ZnCl2 produced from 112 grams of ZnO, we need to first convert the mass of ZnO to moles using its molar mass. The molar mass of ZnO is 81.39 g/mol (65.38 g/mol for Zn and 16.00 g/mol for O), so:

moles of ZnO = mass of ZnO / molar mass of ZnO

moles of ZnO = 112 g / 81.39 g/mol

moles of ZnO = 1.375 mol

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How can you use the electric field and electric potential concepts to describe the interaction and distribution of electric charges and forces?

Answers

Answer:

The electric field and electric potential are important concepts that can be used to describe the interaction and distribution of electric charges and forces.

Question 2
2. There is 100g mass on your desk to which you apply a 5N force. What is the acceleration
of the 100g mass? (Ignore friction)

Answers

Taking into account the Newton's second law, the acceleration of the 100 g mass is 50 m/s².

Newton's second law

Newton's second law states that this force will change the speed of an object because the acceleration and/or direction will change.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object:

F= m×a

where:

F = Force [N]m = Mass [kg]a = Acceleration [m/s²]

Acceleration in this case

In this case, you know:

F= 5 Nm= 100 g= 0.1 kg (being 1000 g= 1 kg)a= ?

Replacing in Newton's second law:

5 N= 0.1 kg× a

Solving:

a= 5 N÷ 0.1 kg

a= 50 m/s²

Finally, the acceleration is 50 m/s².

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You toss a tennis ball straight upward. At the moment it leaves your hand it is at a height of 1.5 m above the ground, and it is moving at a speed of 7.0 m/s.

(a) How much time does it take for the tennis ball to reach its maximum height? (s)

(b) What is the maximum height above the ground that the tennis ball reaches? (m)

(c) When the tennis ball is at a height of 2.4 m above the ground, what is its speed? (m/s)

Answers

a). 1.2 s

b). 3.81 m

c) v= 6.8 m/s

d) v= 27.05 m/s

What is speed?

Speed is define as the distance per unit time. It is also define as how fast an object is  moving.

According to the question:

Height = 1.5 m , speed = 7.0 m/s.

a)By using 1st equation of motion

\(V = V_{0} + g*t.\\V = 0 \\V_{0} = 7.0 m/s.g = -9.8 m/s^2\\0 = 7 + (-9.8 m/s^2)*t\\t = 1.2 s\)

b.

\(h = 1.5 + V_{0} *t + 0.5g*t^2\\V_{0} = 7.8 m/s\\t = 1.2s , g = -9.8 m/s^2\\h = 3.81 m\)

c.

\(V^2 = V_{0} ^2 + 2g*d\\V_{0} = 7.8 m/s\\g= -9.8 m/s^2.\\d= 2.2-1.5 = 0.7 m\\V = 6.8 m/s\)

d.

\(V^2 = V_{0} ^2 + 2g*h\\V_{0} = 0\\g = +9.8 m/s^2.\\h = 6.8 m\\V = 27.05 m/s\)

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two stars have the same luminosity (energy output per second), but star a is 6 times farther away from us than star b. how much fainter does star a appear compared to star b? x 10^

Answers

If two stars have the same brightness (energy production per second), but star an is six times further away from us than star b, star a will look nine times fainter than star b.

The quantity of light released by an object in a given length of time is known as luminosity in astronomy. The Sun has a brightness of 3.846 1026 watts (or 3.846 1033 ergs per second). An observer's distance from an object has no bearing on the value of luminosity, which is an absolute measurement of radiant power. Astronomers frequently speak about an object's luminosity in terms of solar luminosities, where one solar luminosity is the same as the brightness of the Sun. The brightest stars produce several million solar luminosities of light. With 1017 solar luminosities, supernovae are the most brilliant. A few millionths of the Sun's luminosity characterises the faint brown dwarfs.

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You row a boat perpendicular to the shore of a river that flows at 3 m/s. The velocity of your boat is 4 m/s relative to the water. What is the velocity of your boat relative to the shore?

Answers

Answer:

The velocity vBW of the boat relative to the water is 4.0 m/s, directed perpendicular to the current, as in Figure 3.18.

Explanation:

The boat is perpendicular to the shore. Then the net velocity of the boat with respect to river is 5 m/s. The observer feels like the boat is moving slower than they appear actually.

What is relative velocity ?

Relative velocity is velocity of an object measured with respect to other object which can be of stationary or moving with a speed. Thus speed relative to another object is called the relative velocity.

The relative velocity is what's the speed for an observer but it differs from actual velocity. Sometimes it may slower or faster depending on the object with which a we are relating the speed.

Given that the speed of the boat = 4 m/s

speed of river = 3 m/s.

Both are perpendicular and the net velocity of the boat is :

r = √(3² + 4²) = 5 m/s.

Hence, the velocity of the boat relative to the shore will be 5 m/s.

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how do you determine what wire goes on which terminal when wiring a power cord for a hayward pool pump

Answers

When wiring a power cord for a Hayward pool pump, you can determine what wire goes on which terminal by Disconnect the pump from the electrical supply.and then dentify the wires in the power cord. One wire will be black, and the other wire will be white.

Next, Look at the terminals on the back of the pump motor. There should be two terminals, one labeled "L1" and the other labeled "L2."S

: Connect the black wire from the power cord to the "L1" terminal on the pump motor.

Connect the white wire from the power cord to the "L2" terminal on the pump motor. Note that some pumps may have different terminal markings, so it's important to refer to the manufacturer's instructions for your specific pump.

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why is one year on earth 365 days but one year on mercury 88 days

Answers

Something about going around the earth at different speeds

what causes things to attract to a balloon

Answers

Answer:

friction

Explanation:

when things like hair and the balloon run they loose some electrons to the other this makes onne object positive and negative causing them to attract

If I connect an inductor (L) to a capacitor (C), I will get an LC oscillator circuit with some natural frequency omega. If I were to quadruple the capacitance of the circuit, what would be the new natural frequency

Answers

The new natural frequency would be ω/2.

we know that,

\(f = \frac{1}{2 pi \sqrt{LC} }\) = ω.       -> equation 1

now, when capacitance is quadrupled,

\(f' = \frac{1}{2 pi \sqrt{L ( 4C )} }\)

\(f' = \frac{1}{2 pi (2)\sqrt{LC} }\).           -> equation 2

substituting value of equation 1 in equation 2 , we get,

\(f' = \frac{w}{2}\)

Hence, the new natural frequency of the circuit is ω/2.

what do you mean by frequency ?

The resonant frequency for a particular circuit is the frequency at which this equality stands true. Where L is the inductance in henries and C is the capacitance in farads, this is the  LC circuit's resonant frequency.

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What phytophotodermatitis caused by?

Answers

Phytophotodermatitis happens when certain plant chemicals cause the skin to become inflamed following exposure to sunlight.

Answer:

Phytophotodermatitis is induced by the action of long wavelength ultraviolet radiation (UVA) on a plant chemical called furocoumarins (psoralens) on the skin surface. Contact with the plant, fruit or vegetable may have been brief and unnoticed.

Explanation:

if one oscillation has 2.0 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes?

Answers

The ratio of their amplitudes is 2.

How to calculate ratio of amplitude?

The distance between the center line (or the still position) and the top or bottom of a wave's crest or trough is known as the amplitude ().

Distance between the wave's resting position and its highest displacement is known as amplitude. Frequency is the quantity of waves that pass by a particular place each second. Period: the amount of time needed for a wave cycle to finish.

The relation between energy and amplitude is as follows:

\(\begin{aligned}&E_1=\frac{1}{2} K A_1^2 \\&E_2=\frac{1}{2} K A_2^2\end{aligned}\)

As, we know , one oscillation has 3.0 times the energy of a second one of equal frequency and mass i.e.,

\(\begin{aligned}&E_1=3 E_2 \\&\text { So, } \frac{1}{2} K A_1^2=2\left(\frac{1}{2} K A_2^2\right) \\&A_1^2=2 A_2^2 \\&\frac{A_1^2}{A_2^2}=2\end{aligned}\)

Therefore the ratio of amplitude  is 2 .

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Using science terms like force, mass, energy, and inertia, describe how you could get an object to fly a further distance in a catapult?

Answers

i need the same question

A baseball team has 25 players. The average mass of a player is 84.4 kg. If this team is riding a bus that is travelling at 26.9 m/s, how much momentum does the team (without the bus) truly have?

What's the Solution?

Answers

The baseball team (without the bus) has a momentum of 56,819 kg*m/s.

The momentum of an object is defined as the product of its mass and velocity. To calculate the momentum of the baseball team, we need to find the total mass of the team and the velocity of the team relative to the ground (which is the velocity of the bus since the team is riding on it).

The total mass of the team is given by:

mass of team = number of players x average mass per player

mass of team = 25 players x 84.4 kg/player = 2,110 kg

The velocity of the team relative to the ground is the same as the velocity of the bus, which is given as 26.9 m/s.

Therefore, the momentum of the baseball team is:

momentum = mass x velocity

momentum = 2,110 kg x 26.9 m/s

momentum = 56,819 kg*m/s.

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Consider an isolated system moving through empty space. The system consists of objects that interact with each other and can change location with respect to one another. Which of the following quantities can change in time?
a. the angular momentum of the system
b. the linear momentum of the system
c. both the angular momentum and linear momentum of the system
d. neither the angular momentum nor linear momentum of the system

Answers

Both the angular momentum and linear momentum of the system can change in time. So the correct option is C.

In an isolated system moving through empty space, the total linear momentum and the total angular momentum of the system are conserved quantities. This means that if no external forces act on the system, the total linear momentum and total angular momentum of the system will remain constant over time.

However, the individual objects within the system can change their position and velocity with respect to one another, and therefore their individual linear and angular momentum can change. These changes will be compensated by opposite changes in the linear and angular momentum of the other objects in the system, such that the total linear momentum and total angular momentum of the system remain constant.

This conservation of momentum is a fundamental principle of physics known as the law of conservation of momentum, and it has important applications in fields such as mechanics, astrophysics, and quantum physics.

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Can anyone help me with this question please .
I’ll mark as brainliest
No links

Can anyone help me with this question please . Ill mark as brainliest No links

Answers

Answer:

A

Explanation:

The wavelength is the spatial time of an occasional wave, the distance over which the wave's shape rehashes.

Hope this helped!!

Answer:

wavelength

Explanation:

a bowling ball is held motionless and then released. The ball hits a pin 3 s after it is released. The ball hits the pin with a speed of 6 m/s. Did the ball acceleration?

Answers

Answer:

Yes, the ball did accelerate. Acceleration is the change in velocity over time.

Since the ball was initially motionless and then hit the pin with a speed of 6 m/s after 3 seconds, its velocity changed and therefore it accelerated.

The acceleration can be calculated using the formula a = (v_f - v_i) / t, where v_f is the final velocity (6 m/s), v_i is the initial velocity (0 m/s), and t is the time (3 s). Plugging these values into the formula gives an acceleration of a = (6 - 0) / 3 = 2 m/s^2.

Please mark it as Brainiest answer! =D

1- All the components of the sympathetic and parasympathetic nerve pathways: a stimuli, nerve impulse, sensory neuron, interneuron, preganglionic motor neuron, chain ganglia or cranial nerve ganglia, postganglionic motor neuron, and effector organ and response
2- A diagram showing the direction of the nerve impulse along the pathway
3-Pictures and titles that help describe the pathway of the nerve impulse
4- Each pathway must include three reactions to the motor impulse (increase in heart rate or decrease in saliva—see page 3 and 4 for more options)

Answers



The sympathetic and parasympathetic nerve pathways are two divisions of the autonomic nervous system. These pathways are responsible for regulating involuntary functions such as heart rate, digestion, and respiratory rate.

In order for these pathways to function, a stimulus is needed to trigger a response. This stimulus can be internal or external. Once the stimulus is detected, a nerve impulse is sent through a sensory neuron to the central nervous system where it is processed by an interneuron.

The processed signal is then sent through a preganglionic motor neuron to either a chain ganglia or cranial nerve ganglia, depending on the location of the effector organ. From here, the signal is transmitted to a postganglionic motor neuron which sends the signal to the effector organ. The effector organ then responds to the signal, either increasing or decreasing its activity depending on the pathway that is activated.

Here is a diagram that shows the direction of the nerve impulse along the pathway:
[Insert diagram here]
To help you understand the pathway of the nerve impulse, here are some pictures and titles that describe each step of the process:

1. Stimulus Detection: This image shows an example of an external stimulus being detected by a sensory neuron.

2. Interneuron Processing: This image shows an interneuron in the central nervous system processing the signal received from the sensory neuron.

3. Preganglionic Motor Neuron: This image shows a preganglionic motor neuron sending the signal to the chain or cranial nerve ganglia.

4. Postganglionic Motor Neuron: This image shows a postganglionic motor neuron transmitting the signal to the effector organ.

5. Effector Organ Response: This image shows the effector organ responding to the signal received from the postganglionic motor neuron.

Now, for the reactions to the motor impulse. The sympathetic and parasympathetic pathways have different effects on the effector organs. Here are three possible reactions for each pathway:

Sympathetic Pathway:
1. Increase in heart rate
2. Dilated pupils
3. Decrease in saliva production

Parasympathetic Pathway:
1. Decrease in heart rate
2. Constricted pupils
3. Increase in saliva production.

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If the boat goes from 30 km/h to 50 km/h over the next 4 h, what is its acceleration?
Please help me

Answers

Answer:

The acceleration is 5km/h

Explanation:

Given

Initial Velocity (u) = 30km/h

Final Velocity (v) = 50km/h

Time (t) = 4h

Required

Determine the acceleration

This question will be answered using the first equation of motion;

\(v = u + at\)

Substitute values for u, v and t

\(50 = 30 + a * 4\)

\(50 = 30 + 4a\)

Subtract 30 from both sides

\(50 - 30 = 30 - 30+ 4a\)

\(20 = 4a\)

Divide both sides by 4

\(\frac{20}{4} = \frac{4a}{4}\)

\(5 = a\)

\(a = 5\)

Hence;

The acceleration is 5km/h

Write forty million in scientific notation.

Answers



Answer: 4 x 106

That’s how you write forty million in scientific notation.

Answer:

40,000,000 ⇒ scientific notation

= 4 × \(10^{7}\)

Calculate the Kinetic energy of an object with a mass of 15kg while sitting on a shelf that is 20m high.

Answers

Kinetic energy is energy of motion. If the object is sitting still, then it has no kinetic energy. It doesn't matter what its mass is, or how high the shelf is.

KE = 0

How many protons, neutrons, and electrons are there, respectively, in an atom of o-17?.

Answers

In an atom of O-17, proton and electron is 8, and neutrons is 9.

The atomic number, sometimes referred to as nuclear charge number, of a chemical element is the charge number of an atomic nucleus. For conventional nuclei, this is comparable to the proton number, or the number of protons found in the nucleus of each atom of that element.The atomic number of oxygen is 8. Therefore, an atom needs 8 protons in order to be referred to as an oxygen atom. For instance, an atom will no longer be oxygen if it has 9 protons and will now be fluorine. Any atom that lacks 8 protons is not an oxygen atom. For an atom to be neutrally charged, the number of protons and electrons within it must match. Therefore, there should be 8 electrons in all. However, depending on the isotope, the neutron count can change. An oxygen isotope is a distinct variety of oxygen. For instance, oxygen-15, which has 7 neutrons, is a possibility. The neutron count for oxygen-16 would be 8, for oxygen-17 it would be 9, and so on.

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To polish leather shoes, people use shoe polish. What does this tell you about the surface of leather?

Answers

Answer: Polish creates a thin layer of wax on the surface of the leather which protects the leather from getting wet and undergoing wear and tear. It also has a lubricating effect on the leather keeping it supple and preventing the leather from drying out and cracking

What is the magnitude of the x-component of force ?

What is the magnitude of the x-component of force ?

Answers

ANSWER

EXPLANATION

If force F keeps the object in equilibrium

Answer:

See below

Explanation:

Find the x components of all of the forces shown, add them together, the x-component of the force F will be exactly opposite ( same magnitude but 180 degrees different)

30 cos 55  +     40 cos 205   +   50 cos 320  =  19.26    <====x component sum of all of the forces shown

F  (the x component of ) will be   Either    - 19.26   At zero degrees

                                                                 Or 19.26 at 180 degrees

Name one benefit and one risk of each biotechnology practice:
Genetic engineering:
Cloning:
Artificial selection:
PLEASE!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Genetic Engineering:

Benefits: More nutritious food, less use of pesticides, increased supply of food with reduced cost and longer shelf life, faster growing plants and animals

Risk: Creating foods that can cause allergic reaction or that are toxic, Unexpected ir harmful genetic changes, genes moving from one GM plant or animal to anotherplant or animal that is not genetically engineered

Cloning:

Benefits: accelerated reproduction of farmers productive livestock to better produce safe and healthy foods, reproduction of the healthiest animals, minimizing the use of antibiotics, growth hormones and chemicals

Risks: Unwantedhealty effects, defects, premature aging and problems with the immune system

Artificial Selection:

Benefits: no safety issues as those brought by genetic engineering, cheap for agricultural businesses, morally accepted, produce crops with higher yield

Risks: Removes variation, makes organism susceptible to diseasesor changes in environment, unable to control genes inherited by offspring

Answer:

Genetic Engineering  

Benefits  

-Ability to create food that is resistant to pests, cold, and disease.  

-Greater food production volume and increased vitamins.  

Risks  

-Concerns about long-term health risks.  

-Lack of regulation.  

Cloning  

Benefits  

-Ability to increase endangered animal populations.  

-Possibility of eliminating diseases and defective genes.  

Risks  

-Shorter lifespan for cloned animals.  

-Greater chance of health issues for cloned animals.  

Artificial Selection  

Benefits  

-Allows for selection of desired traits.  

-Ability to create better versions of organisms.  

Risks

-Loss of genetic diversity.  

-Increased chance of diseases that can shorten lifespan.

Explanation:

do you think humans might be useful as index fossils in the future. Explain.

Answers

INDEX FOSSILS

Index fossils are fossils that are used to help determine the relative age of rock layers and sedimentary strata. They are typically small, widely distributed organisms that lived for a relatively short period of time and are characteristic of a specific geological period. Index fossils are useful because they can help geologists and paleontologists to determine the relative age of rock formations and to understand the Earth's geological history.

It is unlikely that humans would be useful as index fossils in the future, as the time period during which humans have existed on Earth is relatively short compared to the age of the Earth as a whole. In addition, humans are not small, widely distributed organisms like many of the commonly used index fossils. Instead, humans are large, highly adapted organisms that have a wide range of habitats and are found on most of the continents.

However, it is possible that artifacts or other remains associated with human activity could be used as index fossils in the future. For example, the presence of certain types of tools or other materials might be used to help determine the relative age of a site or to understand the environmental conditions and human activity in a particular region at a specific point in time.

Hope This Helps You!

What is the law that is responsible for having the same number and type of atoms present in the reaction at the beginning and at the end?.

Answers

The law of conservation of mass is responsible for having the same number and kind of atoms at the beginning and end of the reaction.

It states that matter is neither created nor destroyed in a closed system. That is, when a chemical reaction takes place, the amount of each element in the starting material and product must be the same. For example, carbon atoms in coal become carbon dioxide when burned. A carbon atom changes from a solid structure to a gas, but its mass remains the same.

Mass Conservation Formula-

⇒ Mass of Reactants = Mass of Products

The law of conservation of mass is of great importance in the study and practice of chemical reactions. If a scientist knows the quantities of a particular reaction and the identities of the reactants, they can predict the number of products produced.

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On Earth, when a box slides across a horizontal board, the board exerts a frictional force of magnitude Fo on the box. The board and the box are moved to a planet with twice the radius but one-third the mass of Earth. When the box slides across the board, the frictional force exerted by the board on the box is now a. 1/12F b. 1/6F
c. 2/3F0
d. F0

Answers

When the box slides across the board, the frictional force exerted by the board on the box is now 1/6F. The correct option is b.

What is frictional force?

The force that opposes the motion of two objects in touch with one another is known as the frictional force.

The normal force between the two surfaces and the coefficient of friction both affect the frictional force that the board applies to the box.

The weight of the box, which in turn depends on the gravitational acceleration and the mass of the box, determines the normal force.

The gravitational acceleration (g) on the new planet will be one-third of what it is on Earth because the planet's mass is one-third that of Earth. The planet's radius, however, is twice as large as Earth's.

On Earth:

N_Earth = m * g_Earth

On the new planet:

N_NewPlanet = m * g_NewPlanet

N_NewPlanet / N_Earth = (m * g_NewPlanet) / (m * g_Earth)

_NewPlanet / N_Earth = g_NewPlanet / g_Earth

N_NewPlanet / N_Earth = (1/3) / 1 = 1/3

The frictional force (F) is proportional to the normal force:

F_NewPlanet = μ * N_NewPlanet

F_Earth = μ * N_Earth

F_NewPlanet = μ * (1/3) * N_Earth

As a result, on the new planet, the board's frictional force on the box is one-sixth of what it is on Earth.

Thus, the correct option is b.

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A rock is dropped into a canyon that is 0.3 km deep. Determine the time it takes the rock to hit the bottom of the canyon?

Answers

Answer:

rock of mass m is dropped to the ground from a height h. A second rock, with mass 2m, is dropped from the same height. When the second rock strikes the ground, what is its kinetic energy? (a) Twice that of the first rock, (b) four times that of the first rock, (c) same as that of the first rock, (d) half as much as that of the first rock, (e) impossible to determine.

If a  rock is dropped into a canyon that is 0.3 km deep, then the time taken by the rock to hit the bottom of the canyon would be 7.82 seconds.

What are the three equations of motion?

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2 × a × t²

v² - u² = 2 × a × s

Keep in mind that these calculations only apply to uniform acceleration.

As given in the problem, if a rock is dropped into a canyon that is 0.3 km deep.

By using the second equation of motion given by Newton,

S = ut + 1/2at²

300 = 0 + 0.5 × 9.8 × t²

t² = 300 / 4.9

t = 7.82 seconds

Thus,  the time taken by the rock to hit the bottom of the canyon would be 7.82 seconds.

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In "The Horned Toad," why does Grandma move in with the narrator's family?A. She fell down and injured her hip.B. She had a fight with Uncle Manuel and Aunt Toni.C. She got sick with typhoid and could not take care of herself anymore.D.She is moving from house to house within the family to find the place she likes best. what is the radical number for 62 Type your answer en espaol in a complete sentence:Dnde lees t un libro en tu casa o apartamento? great philosopher was concerned primarily with ethical questions, such as what makes a good life. He believed that mental illness was heaven-sent. He believed it to be a blessing, and therefore no treatment was required. If it takes 37 hours and 4 minutes to complete 185 assignments, how long would it take to complete 45 assignments? (Explain your answer). You are the controller for a corporation which owns several investments in debt securities, mainly in 10-year bonds. You know that each long-term investment must be classified as either a held-to-maturity or an available-for-sale security. This current year, market interest rates for similar bonds rose sharply, which caused the fair market value of the portfolio to decline substantially. You also know that the corporation does not intent to hold the 10-year bonds it currently owns to maturity. Additionally, each year you earn a bonus which is based on a percentage of net income.In your initial post, describe the criteria you would use to classify the 10-year bonds. Be sure to elaborate your response by explaining your reasoning. Also, assess whether or not the classification of these investments would affect your annual bonus in any way. Directions: Write a paragraph about your favorite hobby.*Your paragraph must include the following:at least one prefixat least one suffixat least one contractionat least one compound word Inductively coupled argon plasma does not suffer from many of the interferences encountered with flame atomic spectroscopy. Which of the statements below are NOT advantages of plasma over flame?a)Plasma is twice as hot as conventional flame.b)Formation of analyte oxides and hydroxides is negligible.c)Atomization is more complete and signal is enhanced.d)Analyte residence time in the plasma is about twice as long as in flame.e)None. All of these statements are true. growth and decay the demand for gas in a particular country doubles every 6 years. how long will it take for demand to triple? round to the nearest hundredth of a year. by its nature ___ invariably involves the estimation and acceptance of risk when a wave strikes a new medium, three things can happen: reflection, transmission, and absorption. consider a wave propagates in air and is transmitted through a piece of paper. does increasing the frequency increase the amplitude of a sound wave transmitted through the piece of paper Re-read pgs. 69-71. Rewrite this scene from your first person Point of View. If you had been Nick in the car, whatwould have been your response? THIS IS NOT A ONE SENTENCE RESPONSE. I want you to imagine you are acharacter with in the story, incorporate your ideas and thoughts of Gatsby. Your re-write should be 7-9 sentencesminimumPlease help me Im begging write a letter to friend telling her About your telling her how you are preparing for your school's careers day 158) Find all possible values of ab given that a + b = a^4 + b^4 = 16 What was a direct result of the 2010 census? When being admitted to a mental health facility, a young male adult tells the nurse that the voices he hears frighten him. The nurse knows that clients tend to hallucinate more vividly at what point in their routine?1. Before meals2. After going to bed3. During group activities4. While watching television Q- fill in the blank with the correct verb form in bracket ( direct and indirect speech )1 . Vinay told me that he ____________late ( will be / would be / had be ) Find a vector function r(t), that represents the curve of intersection of the two surfaces. the cylinder x2 y2=36 and the surface z=4xy When editing medical reports, you cannot change the ________ of the report or alter the meaning in any way. suppose capital one is advertising a 60-month, 5.99 pr motorcycle loan. if you need to borrow $8000 to purchase your dream harley-davidson, what will your monthly payment be?