A nylon rope used by mountaineers elongates 1.10 m under
the weight of an 65.0-kg climber.
If the rope is 45.0 m in length and 7.0 mm in diameter, what is
Young’s modulus for this material? (Express your answer using two
significant figures).

Answers

Answer 1

The value of Young's modulus will be 6.78*10^8 N/m^2

Linear elastic solid materials have a mechanical characteristic called Young's modulus (Y), which is also referred to as the elastic modulus. It explains how strain (proportional deformation) and stress (force per unit area) interact with one another in a material.

The stiffness of a solid or its resistance to elastic deformation under stress is measured by the Young's modulus (E or Y). It connects strain (proportional deformation) along an axis or line to stress (force per unit area).

Given elongation delta L=1.10 m

Mass of A=65.0 kg,

L=45.0 m

D=7 mm

radius =  r=7/2=3.5 mm

Since we know the Young's Modulus (Y) Can be defines as [tex]Y=\frac{\text { stress }}{\text { strain }}=\frac{\mathrm{F} / \mathrm{A}}{\Delta l / L}[/tex]

Now, (4/{L)=(1.10 m/45.0 m)=0.0244

[tex]\begin{aligned}\ \frac{F}{A}=\frac{M g}{A} & =\frac{65 \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{\pi r^2} \\& =\frac{65 \mathrm{~g} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{3.14 \times\left(3.5 \times 10^{-3}\right)^2} \\& =\frac{65 \times 9.8}{3.14 \times 12.25 \times 10^{-6}} \mathrm{~N} / \mathrm{m}^2 \\& =\frac{637}{38.465} \times 10^6 \mathrm{~N} / \mathrm{m}^2 \\\frac{F}{A} & =16.56 \times 10^6 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]

Therefore, the value of Young's modulus will be

[tex]$$\begin{aligned}& Y=\frac{F / A}{\Delta l / L}=\frac{16.56 \times 10^{-6} \mathrm{~N} / \mathrm{m}^2}{0.0244}=\left(678.688 \times 10^6\right) \mathrm{N} / \mathrm{m}^2 \\& Y=6.78 \times 10^8 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]

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Related Questions

A sports car of mass m has the same kinetic energy as an SUV with a mass 3m as each is driven along the same road. Which vehicle, if either, has the largest momentum and what is the difference in their momenta, if any? Express your result as a percentage.


a. The car has about 42% greater momentum than the SUV.

b. The car has about 33% greater momentum than the SUV.

c. The SUV has about 73% greater momentum than the car.

d. Since their kinetic energies are the same, their momenta are the same. The difference is zero percent.

e. The SUV has about 66% greater momentum than the car

Answers

Option (a) is correct- The car has about 42% greater momentum than the SUV.

What is momentum ?

As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.

What is mass?

Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.

Therefore, Option (a) is correct- The car has about 42% greater momentum than the SUV.

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Eileen is holding a pillow with a mass of 0.30 kg when Stephanie decides she wants it and tries to pull it way from Eileen. If Stephanie pulls horizontally on the pillow with a force of 10.0 N and Eileen pulls with a horizontal force of 11.0 N, what is the magnitude of the net acceleration of the pillow

Answers

The magnitude of the net acceleration of the pillow is 3.333 m/s^2 .

How do you determine the magnitude of the net acceleration?

To determine the magnitude of the net acceleration of the pillow, we can use Newton's Second Law of Motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration:

Fnet = ma

where

Fnet = net force acting on the pillow

m = mass of the pillow (0.30 kg)

a = acceleration of the pillow

Fnet = FStephanie - FEileen = 10 N - 11 N = -1 N

So, the net force acting on the pillow is -1N

Now, we can use Newton's Second law to find the acceleration of the pillow

a = Fnet/m = -1 N / 0.3 kg = -3.333 m/s^2

Therefore, the magnitude of the net acceleration of the pillow is 3.333 m/s^2 .

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what is displacement?​

Answers

Answer:

The Difference Between the final and initial position of a point trajectory

Answer:

If an object moves relative to a reference frame

Explanation:

If a professor moves to the right relative to a whiteboard, or a passenger moves toward the rear of an airplane then the object's position changes.

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hello please help i’ll give brainliest

Answers

Answer:

B. Large mountain ranges

A 1.5 kg ball falls onto a floor. Just before it strikes the floor, its velocity is 12 m/s. The ball bounces up with a velocity of 10 m/s. Find the impulse on the ball.

Answers

Answer:33Ns

Explanation:

If a net force of 10. Newtons acts on a 6.0-kilogram mass for 8.0 seconds, the total change of momentum of the mass is

Answers

The object's momentum will vary by an amount equal to 80 N-s.

Describe momentum.

The relationship between a particle's mass and velocity determines its momentum. Having both a force and motion, it has both a direction and a magnitude. The force exerted on a particle is equal to the rate at which its momentum is gaining momentum over time, according to Isaac Newton's second equation of motion.

Newton's second law states that if a steady force acts on a particle for a predetermined period of time, the impulse, which is the result of the force and the intervals (the impulse), is equal to the change in momentum.

The time it would take a constant action to bring a particle to rest, on the other hand, is the measure of a particle's momentum.

According to the details in the query,

The system's starting momentum is 0.

F = ma

a = F/m

a = 10/6

a = 1.67 m/s²

utilize the motion equation,

v = u + at

v = u + (1.67)(8) (8)

v = 13.33 m

The momentum will then be,

p = mv

p = 6 × 13.33

p = 80 N-s.

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If an airplane were traveling westward with a thrust force of 450 N and there was a headwind (drag) of 200 N, what would the resulting net force be on the airplane

Answers

The net resultant force on the airplane, based on the data provided in the question, is 250 N.

How can the net force that results be calculated?

Calculate the resultant force by deducting the larger force's size from of the smaller force's magnitude. The direction of the smaller force and the resulting force are identical. The resulting force is useful because it allows us to think about the several forces as as if they were one. To measure the effects of different forces on a thing, in other words.

Given data -

Thrust force = 450 N

headwind (drag) = 200 N

Net force = 450 - 200

Net force = 250 N.

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If 53 kg Boulder fall of the cliff what is the force which it will hit the ground? Is she correct?

Answers

Answer:

F = 520 N

Explanation:

We've got m = 53 kg and a = g = 9.81 m/s^2. So to find the force we must do the following:

F = mg

F = (53kg)(9.81 m/s^2)

F = 520 N

How much work is needed to overcome friction in a machine
depends on the machine's [blank]

Answers

The force that prevents motion between any two surfaces that are contacting is called friction. Every machine has friction because it involves motion. As a result, efficiency is never 100 percent.

What proportion of the work a user inputs into a machine is actually completed by the machine?

Efficiency is the proportion of user-inputted work (input work) that is converted into output work by a machine (output work). Because some of the input work is used to overcome friction, the output work is always less than the input work.

Do all devices eliminate friction?

The force that would grow or decrease in the absence of friction is reflected in the ideal mechanical advantage of a machine. It is consistently larger.

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When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means:

Answers

When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means double file formation.

When riding in groups, hand signals are a crucial aspect of communication. The group should create a double-file formation when the lead rider's left arm is bent at the elbow and their index and middle fingers are pointed straight up. Wider hallways are best suited for heavy-headed formations (T-formation with a couple of individuals in front) or double-file formations because soldiers can spread out and walk shoulder to shoulder at the front of the file. When opposing doors are visible, the single file configuration is constricting and slowly moving.

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If you can answer all of this then your a legend (I'm giving you all my points)

Answers

Answer:

1. B

2. B

3. D

4. A

Hope this was correct! A lot of the answers are already in the article itself and the wording is just different. I suggest now that for information retainment, you read the article again with the correct points in mind and see if you can spot the points where the answers are stated!

Lenz's Law The magnetic flux through the loop shown in the accompanying figure varies with time according to4Pm milliwebers. What are the direction and magnitude of the current through the 5.00-Ω resistor at (a) t = 0 ; (b) =2.00e-31 sin( 120m), where Pm is '' ' ' t= 2.17×10-2 s, and (c) t=3.00 s? 5.0 Ω

Answers

At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow .

(a) At t = 0, the current through the resistor is 0 A.

(b) At t = 2.17×10-2 s, the current through the resistor is -2.2 A. The negative sign indicates that the current is flowing in the opposite direction to the arrow

(c) At t = 3.00 s, the current through the resistor is 0 A.

At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow.At t = 3.00 s, the current through the resistor is 0 A.

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in order to catch a ball, a baseball player moves his or her hand backward in the direction of the balls motion. doing this reduces the force of impact on the players hand principally because....
a.) the time of impact is decreased
b.) the time of impact is increased
c.)the velocity of the hand is reduced
d.) the momentum of impact is reduced
e.) none of the above

Answers

The right response is B: To catch a ball, a baseball player moves his or her hand backward in the direction of the ball's motion because  the time of impact is increased.

By doing this, the force of impact on the player's hand is mostly reduced. The force needed to stop the ball will decrease as the amount of time it takes to reach zero motion increases. Consider a ball approaching you with 100 units of momentum. To stop the ball, a 100-unit impulse would be necessary. No matter how the impulse is generated, there must be 100 units of it. A force is an effect that can alter an object's motion in physics.

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Determine the missing forces A-H

Answers

The missing forces in the diagram given are: A = 50 N; B = 200 N; C = 1100 N; D = 20 N; E = 300 N; F = 0 N; G = 50 N and H = 0 N.

What is resultant force?

In physics and engineering, a resultant force is a single force and associated torque obtained by combining a system of forces and torques acting on a rigid body by vector addition. The characteristic of a resultant force or force-torque is that it has the same effect on a rigid body as the original force system. The resulting forces on the body are calculated and visualized by computational analysis or (for sufficiently simple systems) by free-body diagrams.

For A and B:

Since net force is zero the applied forces in all four direction will be equal but opposite.

So A will be 50 N and B will be 200 N.

For C:

The net force is 900 N;

C = 900 + 200

C = 1100 N

For D and E:

The net force is 60 N left; this means the net upward or downward force acting on the object is zero.

So E = 300 N

D = 80 - 60

D = 20 N

For F, G and H:

The net force is 30 N right; this means the net upward or downward force acting on the object is zero.

So F and H will be zero.

G = 20 + 30

G = 50 N

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The following three resistors (Ohms) are in parallel with one voltage source. What is the total current running through circuit?

Battery 4
Resistor A 5
Resistor B 4
Resistor C 7

Answers

Explanation:

The total resistance Rt is given by

1/Rt = 1/Ra + 1/Rb + 1/Rc = 1/5 + 1/4 + 1/7 = 0.593

or Rt = 1.69 ohms

The total current I running through the circuit is

I = V/Rt = 2.37 A

How long would it take for a falling object to reach a final velocity of 147 m/s?

Answers

Answer:

15 seconds :)

Explanation:

PLSS HELP
A car collides with a wall. Compare the forces exerted by the car on the wall and by the wall on the car.

Answers

According to Newton's third law of motion the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.

What is collision?

Collison is a short time force acting between two objects. There are both elastic and inelastic collision. In elastic collision, the kinetic energy and momentum of the colliding system is conserved whereas in inelastic collision, the kinetic energy is not conserved.

For any type of collision, we can apply Newton's third law of motion. This law states that, for every action there is an equal and opposite reaction. Therefore, in a collision, the force exerted by each object will be equal and opposite in direction.

Therefore,  the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.

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somebody helps me pls T_T

Answers

Answer:

Gravity increase:

mass increases

distance decrease

gravity decrease:

mass decrease

distance increase

hope this helps

have a good day :)

Explanation:

1. When conducting a test on what kind of music increases the growth of plants, all of the following would fail to meet to fair test standard EXCEPT (1 point)
using different kinds of plants.
giving some plants more water than others.
exposing the plants to different types of music.
using nutrient-rich soil for one and lesser soil for others.
2. Engineering uses scientific thinking to solve real-world problems. (1 point)
True
False
3. What does it mean to test a hypothesis? (1 point)
Pass a quiz on other scientists’ results
Analyze only the results from scientific sources
Not make assumptions about how an experiment will turn out
See if the results of an experiment are what the scientist predicted

Answers

Using a specific kind of raga played over a gramophone and loudspeakers, Singh replicated the experiment with field crops. Crop sizes grew to 25–60% over the average for the region. According to Singh, the violin's music has the biggest impact on plant development.

What interactions do nutrients have with one another in the soil?

Nutrient interactions in the soil, which alter the availability of nutrients to plants, illustrate the range of interactions that may take place. High concentrations of one nutrient in the soil can conflict with the availability and absorption of other nutrients.

Which soil has the greatest concentration of nutrients?

Loamy soils, which combine sand, clay, and silt particles, are thought to be the most fertile form of soil.

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If an object that is emitting sound is moving fast enough towards an observer, what pitch will the observer hear?
a) (A) A pitch that is higher than the pitch actually produced
b) (B) A pitch that is lower than the pitch actually produced
c) (C) The same pitch as the pitch actually produced
d) (D) Impossible to determine

Answers

Answer:

(A) A pitch that is higher than the pitch actually produced

Explanation:

Doppler effect

Calculate the force of gravity between a 2.50 kg newborn baby and a 80.0 kg doctor standing 0.250 m away. G

Answers

The force of gravity between the newborn baby and the doctor is approximately 2.67 x 10^-8 N.

What do you mean by force of gravity?

The attraction between two objects in the cosmos is created by the force of gravity. Objects fall towards the center of the earth as a result of this force, which also keeps planets and moons in their orbits around stars. The mass of the objects and the separation between their centers of mass determine how much gravity there is between them.

The force of gravity between two objects is:

F = G * m1 * m2 / r^2

Where F  = force of gravity,

G = gravitational constant (approximately 6.67 x 10^-11 N*(m/kg)^2),

mass m1 and mass m2 are the masses of the objects,

r = distance between their centers of mass.

Given:

the mass of the newborn baby = 2.50 kg,

the mass of the doctor = 80.0 kg,

the distance between them = 0.250 m,

F = (6.67 x 10^-11 N*(m/kg)^2) * (2.50 kg) *(80.0 kg) / (0.250 m)^2

F = 2.67 x 10^-8 N

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If 400g of ice at -2°C i placed in 1 kg of water at 21°C what i the end product when equilibrium i reached?

Answers

The end product when equilibrium is reached is a mixture of water and ice at a temperature of 0°C.

Since the temperature of the water is higher than the temperature of the ice, the ice starts to melt and the temperature of the mixture decreases until it reaches the freezing point of 0°C.

The amount of water in the mixture increases due to the melting of the ice while the amount of ice decreases until all of the ice has melted and there is 1.4 kg of water in the mixture.

The heat energy that was released when the ice melted is absorbed by the water, raising its temperature to 0°C and causing it to reach equilibrium.

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In fact, in the absence of air resistance, the amount of ____ energy when the ball is held motionless above the floor equals the amount of ____ energy at impact with the floor.

Answers

the following blanks are gravitational potential energy and kinetic energy

Gravitational potential energy is the energy that an object has due to its position in a gravitational field.It is given by the equation Ep = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. Kinetic energy is the energy an object possesses by virtue of its motion. It is given by the equation Ek = 1/2mv^2, where m is the mass of the object and v is its velocity.

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1. Calculate the size of the gravitational pull of a sphere of mass 10 kg on a mass 2.0 kg. When their
centres are 200 mm apart. What is the force of the 2.0 kg mass on the 10 kg mass?

Please answer with an explanation if you can!!!

Answers

Explanation:

Let a be the sphere of mass 10 kg and b be the sphere of mass 20 kg. According to Newton's universal law of gravitation, the gravitational force of a on b is expressed as:

F

a

b

=

G

m

M

d

2

, where:

G

=

6.67

×

10

11

N

m

2

/

k

g

2

is the gravitational constant

m = 2 kg is the mass of a

M = 10 kg is the mass of b

d = 0.2 m is the separation between the two spheres

So:

Fab=GmMd26.67

×

10

11

×

2

×

10

0.2

2

Why the ball accelerates at a constant rate as it moves down the slope?

Answers

The ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

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Question 8 of 25
An atom that loses or gains electrons becomes a/an:
O A. lon.
B. Electron.
C. Charged atom.
D. Proton.

Answers

AAAAAAAAAAAAAAAAAAAAAAAAAAAA

If an object was traveling horizontally off a cliff at 9 m/s for 7 seconds, how far did it go?

Answers

The object travelled 63 meters at 9m/s for 7 seconds.

What is distance travelled?

The length of the trajectory taken between the initial and final positions of the moving body is the distance traveled.

To calculate the distance traveled by an object traveling horizontally off a cliff, you can use the formula:

d = v * t

where d is the distance traveled, v is the velocity (9 m/s), and t is the time (7 seconds).

By substituting the given values into the formula, we get:

d = 9 * 7 = 63 meters

So, the object traveled 63 meters horizontally before it hit the ground after being launched off the cliff at 9 m/s for 7 seconds.

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Glands that excrete salt in the mangroves are examples of

Answers

Glands that excrete salt in the mangroves are examples of adaptions.

What is adaptions?The meaning of adaptation implies how a species changes its body and behaviour to better suit its natural environment. There are an estimated 8.7 million species currently living on earth. They are found across a wide and diverse natural environment, ranging from frozen and desolate Arctics to the sweltering sands of the Sahara.The natural environment is an ever-changing feature of planet earth. The process of adaptation ensures that the species which adapts the most, survive.Read on to explore plant and animal adaptations across the wide ranges of landscapes.In biology, adaptation has three related meanings. Firstly, it is the dynamic evolutionary process of natural selection that fits organisms to their environment, enhancing their evolutionary fitness. Secondly, it is a state reached by the population during that process.

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With the Sun and Moon in this position, what does the side of the earth facing the moon experience? ft Select one O A a normal high tide B. a neap high tide C. a spring high tide D. a spring low tide a neap low tide F a normal low tide age

Answers

With the Sun and Moon in this position, the side of the earth facing the moon experiences a spring high tide. Thus Option C is the answer.

A spring tide is a tide that occurs when the gravitational pull of the Moon and the Sun are in alignment. During a new moon or full moon phase, the gravitational pull of the Moon and the Sun combine to produce stronger than normal high tides and stronger than normal low tides. The term "spring tide" does not refer to the season of spring, but rather the tide's "springing forth" of water.

During a spring tide, the difference between high tide and low tide is at its greatest, and the water level rises higher and falls lower than during a neap tide. This is because the gravitational pull of the Moon and Sun are working together to produce the tide, rather than against each other. This results in a high tide that is higher than a normal high tide, referred to as a spring high tide.

It is important to note that spring tides occur twice a month, around the time of the new and full moon, when the Moon and Sun are in alignment.

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What is the weight in newton of a 18.0 kg bowling ball on earth's surface?

Answers

Answer:

W = 176.4 N

Explanation:

Given that,

The mass of a bowling ball, m = 18 kg

We need to find the weight of the bowling ball on Earth's surface. The weight of an object on the surface of Earth is given by :

W = mg

Where

g is the acceleration due to gravity

Put all the values,

W = 18 × 9.8

W = 176.4 N

So, the weight of the ball on Earth's surface is equal to 176.4 N.

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Anika finds the song in two places on the Internet.The first is a website that requires users to upload one song before downloading the one they want. The second is the bands website, where they have posted music videos, including one with the song Anika wants to use. Use the drop-down menus to complete each sentence.Anika decides that it is better to not use the website that requires her to upload a song before downloading the one she wants. This a good choice because .If Anika decides to stream the video from the bands website during her presentation, she needs toAnswer choises for the first: it will save timefile sharing can be illegaldownloads can be hard to useAnswer choises for the first one:give credit to the sourcedownload the videoclaim she made the recording Please answer both! Thanks sm :) y-intercept of y=-2x+4 Why was William Lloyd Garrison considered to be on the "cutting edge of social change' What are the five inalienable rights? Which of the following factors of a gene determines the protein, and therefore the trait, it expresses in a cellWhere the cell is found in the organism.The position inside of the nucleus.Its length and sequence of nitrogen bases.Its shape and color after cell reproduction. Code to be written in python: Correct answer will be automatically awarded the brainliest!Since you now have a good understanding of the new situation, write a new num_of_paths function to get the number of ways out. The function should take in a map of maze that Yee Sian sent to you and return the result as an integer. The map is a tuple of n tuples, each with m values. The values inside the tuple are either 0 or 1. So maze[i][j] will tell you what's in cell (i, j) and 0 stands for a bomb in that cell. For example, this is the maze we saw in the previous question:((1, 1, 1, 1, 1, 1, 1, 1, 0, 1), (1, 0, 0, 1, 1, 1, 0, 0, 1, 1), (0, 1, 1, 1, 0, 0, 1, 1, 1, 0), (1, 1, 0, 1, 1, 1, 1, 0, 1, 1), (0, 1, 0, 1, 0, 0, 1, 0, 1, 0), (1, 0, 1, 1, 1, 1, 0, 1, 1, 1), (0, 1, 1, 1, 1, 1, 1, 1, 1, 0), (1, 0, 1, 0, 0, 1, 1, 0, 1, 1), (1, 0, 1, 1, 1, 0, 1, 0, 1, 0), (1, 1, 0, 1, 0, 1, 0, 1, 1, 1))Note: You should be using dynamic programming to pass time limitation test.Hint: You might find the following algorithm useful:Initialize an empty table (dictionary), get the number of rows n and number of columns m.Fill in the first row. For j in range m:2.1 If maze[0][j] is safe, set table[(0, j)] to be 1 because there's one way to go there.2.2 If maze[0][j] has a bomb, set table[(0, k)] where k >= j to be 0. Since one cell is broken along the way, all following cells (in the first row) cannot be reached.Fill in the first column. For i in range n:3.1 If maze[i][0] is safe, set table[(i, 0)] to be 1 because there's one way to go there.3.2 If maze[i][0] has a bomb, set table[(i, 0)] and all cells under it to be 0. The reason is same as for the first row.Main dynamic programming procedure - fill in the rest of the table. If maze[i][j] has a bomb, set table[(i, j)] = 0.Otherwise, table[(i, j)] = table[(i - 1, j)] + table[(i, j - 1)]Return table[(n - 1, m - 1)]Incomplete code:def num_of_paths(maze): # your code here# Do NOT modifymaze1 = ((1, 1, 1, 1, 1, 1, 1, 1, 0, 1), (1, 0, 0, 1, 1, 1, 0, 0, 1, 1), (0, 1, 1, 1, 0, 0, 1, 1, 1, 0), (1, 1, 0, 1, 1, 1, 1, 0, 1, 1), (0, 1, 0, 1, 0, 0, 1, 0, 1, 0), (1, 0, 1, 1, 1, 1, 0, 1, 1, 1), (1, 1, 0, 1, 0, 1, 0, 0, 1, 1), (0, 1, 1, 1, 1, 1, 1, 1, 1, 0), (1, 0, 1, 0, 0, 1, 1, 0, 1, 1), (1, 0, 1, 1, 1, 0, 1, 0, 1, 0), (1, 1, 0, 1, 0, 1, 0, 1, 1, 1))maze2 = ((1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1), (1, 1, 1, 1, 1, 1, 1, 1, 1))maze3 = ((1, 0, 1, 1), (1, 0, 1, 1), (1, 0, 1, 1), (1, 0, 1, 1), (1, 0, 1, 0), (1, 0, 0, 1))Test Cases:num_of_paths(maze1) 2 num_of_paths(maze2) 3003 num_of_paths(maze3) 0 2. According to the law of supply, if the price of a good or service increases: