The CN Tower in Toronto, Canada, is 553 m tall, making it the tallest free-standing structure in the world. Suppose a chunk of ice with a mass of 25.0 g falls from the top of the tower. The speed of the ice is 30.0 m/s as it passes the restaurant, which is located 353 m above the ground. What is the magnitude of the average force due to air resistance?

Answers

Answer 1

The magnitude of the average force due to air resistance be  188.75 N.

What is law of conservation of energy?

Energy cannot be created or destroyed, according to the rule of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present. The law of energy conservation is adhered to by all energy forms. The law of conservation of energy essentially says that

The total energy of the system is conserved in a closed system, also known as an isolated system.

Total energy of the chuck of ice at 553 m tall tower: E = mgh

= 25.0 × 9.8 × 553 Joule = 135485 joule.

If the average force due to air is W the, total energy of the ice at 353 m above the ground:

E = mgh + 1/2mv² + W(553-353)

=  25.0 × 9.8 × 353  + 1/2×25×30² + 200 W

= 97735 + 200 W joule

According to conservation of energy:

135485 =  97735 + 200 W

⇒ 200 W = 37750

⇒ W =  188.75 N.

Hence, the magnitude of the average force due to air resistance be  188.75 N.

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Related Questions

An average force of 100. newtons is used to pull back the string of a bow by 0.60 meter.
The arrow in the bow is released. What is its kinetic energy as it leaves the bow?

Answers

Answer: 60 joules

Explanation:

The amount of work done in pulling back the string of a bow

= FORCE * DISPLACEMENT

W = 100 * 0.60 = 60 J

The change in kinetic energy is the net work done.

Therefore,  

W = k1 - k2 = k1  

This implies that the work done is equal to the kinetic energy.

2KI → 2
+
2
Which chemical symbols will complete the equation for this decomposition reaction?

Answers

The chemical symbol used is 2K + 2I to complete the equation for the decomposition reaction.

What is decomposition reaction?

Decomposition reaction is defined as a chemical reaction when the reactant or molecule breaks down into less complex compounds Consequently, when a single reactant splits into two or more products.  Because two or more reactants are combined to create a single product in a combination reaction, they are known as the opposite of a combination reaction.

One reactant produces two or more products during a decomposition process. Iodine and potassium will be produced as potassium iodide breaks down. With two K and two I on each side, this equation is balanced. It can be described using the all-inclusive formula: AB --> A + B.

Thus, the chemical symbol used is 2K + 2I to complete the equation for the decomposition reaction.

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Name five alternative energy sources for transportation. list one benefit and one challenge of each.

Answers

Natural gas, hydrogen, electricity, hybrid vehicles, biofuels, five major alternative energy sources in transportation. Producing energy from fossil fuels no releases of greenhouse gases, lowering forms of pollution.

What types of energy are primarily used for transportation?

The relative ease with which petroleum-derived fuels may be stored and utilized in internal-combustion engines accounts for their supremacy. However, they need a more intricate storage system than other fossil fuels, such as natural gas, gas, and methanol, which can also be utilized as transportation fuels.

How can the transportation system be made to use less energy?

Use your personal automobiles sparingly. When possible, strive to use public transportation. Reduce the car's additional BOOT weight. Unnecessary objects like a flat tire and unwanted luggage—especially hefty ones—in the car might lower its mileage.

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Three boxes are pulled to the left by strings with negligible mass on a horizontal surface, as shown above. The masses of the boxes are m1, m2, and m3, where m3>m2>m1. Friction between the boxes and the surface is negligible. The figure below shows force diagrams for each box. A student is trying to determine the tensions in the strings connecting the boxes. If the acceleration of the system and the pulling force F are known, which of the following pairs of equations could be used to find the tensions?
m3a3=TB and m2a2=TA−TB

Answers

The two quantities agree within experimental uncertainty but not agree numerically.

There is no frictional force exerted on the puck, and the gravitational force and normal force are exerted on the puck and are equal in magnitude.

The mean value of F is: 10.52 N

The mean value of TA is: 10.6 N

So, the two quantities agree within experimental uncertainty but not agree numerically.

The puck on the table relates to a planet orbiting the sun because the force of tension is acted on the puck with its connection to the table using the string. Similarly, a planet has the force of gravity acting upon it is allowing it to orbit in its path.

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A car travels west 60 kilometers in 2.5 hours. Its average velocity for the trip is ____ km/h.

pls help

Answers

Rearranging, we get: r = d/t

R=60/2.5=24

Hence 24 km/h

Answer:

24km/h

Explanation:

V = D/T

   = 60/2.5

   = 24

The total volume occupied by two internal cable clamps, six 12AWG conductors, and single pole switch is

Answers

The total volume occupied by two internal clamps, six 12 AWG conductors and one grounding conductor, and a single-pole switch is 20.25 cu in.

When counting the number of conductors in a box a conductor running through the box is counted as conductor S?

An unbroken conductor, passing through the box without splice or termination, can be counted as one conductor if it is less than two times the minimum length required for the free conductor in 300.14. For example, two conduits are entering opposite sides of a four-inch square metal box that has a depth of 1 1/2 inches.


How many amps can 12 AWG handle?
The twelve-gauge wire is good for 20 amps, 10-gauge wire is good for 30 amps, 8-gauge is good for 40 amps, and 6-gauge is good for 55 amps, and The circuit breaker or fuse is always sized to protect the conductor [wire].

12 AWG =2.25 cu. in. ( 6 x 2.25 = 13.5)

Device( 2 x 12 AWG cu. in.)= ( 2 x 2.25 = 4.5)

Clamp ( 1 x 12 AWG cu. in.)= ( 1 x 2.25 = 2.25)

13.5 + 4.5 + 2.25 = 20.25 cu. in.

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True or False : the effect of magnetizing flux can be represented by a magnetizing inductance. this inductance appears in parallel with the primary side of a transformer (if primary leakage inductance and copper resistance are ignored).

Answers

True , The magnetizing inductance and this inductance are parallel. Each coil in a transformer has the same voltages each turn.

What are transformers and what varieties exist?

Power transformers, distribution transformers, and isolation transformers, in that order. We have Twin Winding Generators and Autotransformers based on windings. We include Core Type Transformers, Shell Type Transformers, and Berry Type Transformers based on core designs.

What purpose does a transformer serve?

Electric circuits employ transformers to modify the voltage of the electricity flowing through the circuit. In AC circuits, it is utilized to step up or step down the voltage (thus, "stepping up" or "stepping down").

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5. Which of the following correctly describes the above situation?
6. The final velocity of the two cars after they hit and stick together is:

Answers

In this case, the magnitude of the momentum of vehicle 2 is greater than the vehicle 1.

What is momentum?

In Newtonian mechanics, an object's mass and velocity are combined to form momentum, more precisely linear momentum or translational momentum. It has both a magnitude and a direction, making it a vector quantity.

The kilogramme metre per second (kg m/s), or newton-second in the International System of Units (SI), is the unit used to measure momentum.

The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Although momentum varies depending on the frame of reference, it is a conserved quantity in any inertial frame, which means that if a closed system is not impacted by outside forces.

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A rock appears to lie 17 cm below the surface of a smooth stream when viewed from above the surface of the stream at an angle. If the index of refraction of water is assumed to be 1.33 and that of air is approximately 1, what is the actual distance of the rock below the surface?
The actual distance of the rock below the surface is ____cm.

Answers

The rock is actually 22.61 cm beneath the surface. For When viewed from above the surface of the stream at an angle with force, a boulder appears to be 17 cm below the surface of a smooth stream.

The length of a straight line, which is the shortest route between any two points in space, is the distance between them. In classical physics, particularly Newtonian mechanics, this is how distance is typically understood. In two- and three-dimensional space, the straight-line distance is mathematically codified as the Euclidean distance. A force in physics is an effect that has the power to alter an object's motion.

I = O na/nw

17 = O * 1/1.33

O = 17 * 1.33 = 22.61 cm

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Define the term centre gravity of an object?

Answers

The center of gravity (CG) location is the average location of all the weight of an object.

The center of gravity is the balance point of an object, also expressed as the point where all the mass appears to be located.

The Center of gravity can be defined as the weighted average of all point masses in an object, which satisfies the following:

CG = sum(mi * r i)/sum(mi)

Where r i is the position of each point mass.

mi is the mass of each point mass.

The center of gravity location has several unique properties:

An object in space rotates about its center of gravity.A force applied to the center of gravity causes pure translation.

A different concept is used where high accuracy is required. The object is placed on top of a table that is pivoted about a defined axis. The moment due to the center of gravity offset of the object from the center axis is measured using a force transducer.

The location of the center of gravity is derived from the moment measurement by applying the following formula:

M = W x d

Where M is the moment applied.

W is the weight of the object.

d is the distance from the pivot point to the center of gravity of the object

Below is a list of examples with typical accuracy requirements:

Human: 2 inches (5 cm)

Golf ball: 0.05 inch (1.25 mm)

Rocket: 0.01 inch (0.25 mm)

Spacecraft: 0.04 inch (1 mm)

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In physics, the centre of gravity is a hypothetical location within a solid where, for the sake of convenience in some computations, the body's whole weight may be assumed to be concentrated.

The idea might be helpful when planning static structures (like buildings and bridges) or when forecasting how a moving body will behave when subjected to gravity.

The geometric centre of a body may also be where the body's centre of gravity is located, especially in symmetrically structured objects made of homogeneous material.

However, it is likely that the centre of gravity of an asymmetrical item made of various materials with different masses will be situated some distance from the object's geometric centre.

In certain circumstances, such as hollow bodies or things with irregular shapes, the centre of gravity (or centre of mass) may exist in space at a location independent of the physical substance.

Hence, the centre of gravity is a theoretical point within a solid where, for the simplicity of some calculations, the entire weight of the body may be believed to be concentrated.

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What is the rotational kinetic energy (in J) of Jupiter in its orbit around the Sun? (Assume its distance from the sun to be 7.78 ✕ 108 km and its period about the sun to be 4340 days.)

Answers

The rotational kinetic energy (in J) of Jupiter in its orbit around the Sun is 1.613 × 10³⁵ J

What is rotational kinetic energy?

Rotational kinetic energy is kinetic energy due to rotation about an axis.

What is the rotational kinetic energy (in J) of Jupiter in its orbit around the Sun?

The rotational kinetic energy is given by K = 1/2Iω² where

I = rotational inertia of juptier around sun = MR² where M = mass of Jupiter = 1.898 × 10²⁷ kg and R = distance of jupiter from sun = 7.78 × 10⁸ km = 7.78 × 10¹¹ m, ω = angular speed of Jupiter around sun = 2π/T where T = period of Juptier around sun = 4340 days = 4340 × 24 h/day × 60 min/h × 60 s/min = 374976000 s = 3.74976 × 10⁸ s

So, We have that the rotational kinetic energy of Jupiter is

K = 1/2Iω²

K = 1/2(MR²)(2π/T)²

K = 1/2(MR²)(4π²/T²)

K = 2π²MR²/T²

Substituting the values of the variables into the equation, we have that

K = 2π²MR²/T²

K = 2π² × 1.898 × 10²⁷ kg × (7.78 × 10¹¹ m)²/(3.74976 × 10⁸ s)²

K = 2π² × 1.898 × 10²⁷ kg × 60.5284 × 10²² m²/14.0607 × 10¹⁶ s²

K = 2π² × 114.8829 × 10⁴⁹ kgm²/14.0607 × 10¹⁶ s²

K = 229.7658π² × 10⁴⁹ kgm²/14.0607 × 10¹⁶ s²

K = 16.3410π² × 10³³ kgm²/s²

K = 161.2791 × 10³³ kgm²/s²

K = 1.612791 × 10³⁵ kgm²/s²

K ≅ 1.613 × 10³⁵ J

So, the  rotational kinetic energy is 1.613 × 10³⁵ J

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I want to know anwser

Answers

The wave speed of a wave is equal to its frequency multiplied by its wavelength.

What is wavelength?

Wavelength is a measure of the distance between two successive peaks of a wave. It is most commonly associated with light, sound, and other forms of electromagnetic radiation. It is the distance from one peak of the wave to the next, measured in meters. Wavelength is an important factor in determining the properties of a wave, such as its frequency, amplitude, and speed. It is also used to measure the wavelength of sound, radio waves, and other forms of electromagnetic radiation.

Therefore, the wave speed of a 44 Hz wave with a wavelength of 1 m is 44 m/s. This is because frequency is the number of waves passing a certain point in a certain amount of time (measured in hertz or Hz), while wavelength is the distance between two successive wave crests (measured in meters). Thus, when multiplied, these two values give us the wave speed, which is measured in meters per second (m/s).

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A student makes a sound by blowing into the mouth of an empty soda bottle. How could the student make the sound louder?

A. Increase the frequency by adding water to the bottle.

B. Decrease the frequency by blowing into a different bottle.

C. Decrease the amplitude by blowing with less force.

D. Increase the amplitude by blowing with more force.

D. is correct.​

Answers

Answer:

I think D is the answer to the question

In this circuit, the following values apply:
What is the voltage drop across resistor R 2 in volts

Answers

Answer:     [tex]8.93 V[/tex]

Explanation: By applying ohm's law

                         ,        V=IR  

for R2 resistance , current flowing through it is [tex]1.9[/tex] ampere,and it's value is [tex]4.7 \ohm[/tex] ohm

                        V=1.9*4.7

                          =8.93 V    

we can find the current, i, in the circuit by using ohm's law (generalized for alternating currents), v

Answers

The current, i, in the circuit by using ohm's law (generalized for alternating currents), v is  [tex]\begin{aligned}& I= \\& \quad 0.4000+0.8000 i\end{aligned}[/tex]

What is circuit?

An electronic circuit is composed of individual electronic components, such as resistors, transistors, capacitors, inductors and diodes, connected by conductive wires or traces through which electric current can flow.

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A swing has a potential energy of 150 J and a kinetic energy of 75 J at a certain spot. What is the mechanical energy of the swing?

Answers

The mechanical energy of the swing is the sum of the potential energy and the kinetic energy which is equal to 225 Joules.

What is Mechanical energy?

Mechanical energy is the energy which is present either in an object which is in motion or the energy which is stored in objects by their position. Mechanical energy is the main driver of renewable energy. Many different forms of renewable energy rely directly on the mechanical energy to adequately produce enough amount of power or convert energy.

The mechanical energy of the object is the sum total of individual energies which are present in the object. The mechanical energy of an object can be represented as:

M.E. = P.E. + K.E.

M.E. = Mechanical energy,

P.E. = Potential energy,

K.E. = Kinetic energy

Therefore, the mechanical energy of the swing will be:

M.E. = 150J + 75J

M.E. = 225 Joules

Therefore, the mechanical energy of the swing is equal to 225 Joules.

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During take-off a 6kg model rocket is burning fuel causing its speed to increase at a
rate of 7m/s² despite experiencing a 100N drag. What is the magnitude of the net force on the rocket

Answers

The magnitude  of the net force on the rocket was found to be 42N

Define magnitude ?

What is magnitude in Physics, is surely an issue of tremendous relevance in science. Magnitude often relates to the quantity or distance. In regard to the movement, we may associate magnitude with the size and speed of the item while moving.

The magnitude of a thing or a quantity is its size. Like in terms of speed, a car is driving quicker than a motorbike. In this situation, the car's speed is greater than the motorbike's. Let's now discuss what magnitude in physics means.

the magnitude of the net force was determined by the equation.

∑F= ma

=6(7m/s²)

=42 N

the force was exerted upwards.

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What was the speed of a space shuttle that orbited Earth at an altitude of 882 km?

Answers

Answer:

Explanation:

Given:

h = 882 km

R = 6371 km

___________

V - ?

Since the height of the orbit is much less than the radius of the Earth, then the acceleration of free fall g = 9.81 m/s²

Speed:

V = √ (g·(R+h)) = √ ( 9.81·(6371+882)·10³ ) ≈ 8 440 m/s  or

V = 8.44 km/s

A 30 kg chair initially at rest on a horizontal floor requires a 160 N horizontal force to set it in motion. Once the chair is in motion, a 125 N horizontal force keeps it moving at a constant velocity. The acceleration of gravity is 9.81 m/s 2 . a) What is the coefficient of static friction between the chair and the floor? 017 (part 2 of 2) 10.0 points b) What is the coefficient of kinetic friction between the chair and the floor?

Answers

(a). The chair's dynamic friction factor with the floor is = 0.602.

(b). The chair's as well as the floor's kinetic friction factor is = 0.475.

What is a simple definition of velocity?

The metre per second (m/s) is the accepted unit of velocity magnitude (also known as speed).

Briefing:

a)Let's practice using Newton's second law. In the reference system, the x axis is perpendicular to the axis and parallel to the floor.

Y Axis

        N-W = 0

        N = W

X axis

         F-fr = ma

The formula for the friction force is

  fr = μN

The acceleration is zero where the movement starts.

Let's replace

F = μ (mg) = 0

F = μ mg

μ = F / mg

μ = 160/30 9.81

μ = 0.602

b) The formula is the same in this instance, but the friction is kinetic.

    μ = F2 / mg

    μ = 125/30 9.81

    μ = 0.475

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Why does passing a current through a wire create a magnet?
a. The protons create an electrical charge.
b. The electrons create an electrical charge
C. The protons create a magnetic charge.
d. The electrons create a magnetic field.
Please select the best answer from the choices provided
Ο Α
OB
C
OD

Answers

Passing a current through a wire create a magnet because the electrons create a magnetic field.

Is it possible for a wire's current to generate a magnetic field?

Flemming's Right Hand Rule states that while a current flows, it generates a magnetic field all around it. The magnetic field produced by the wire's electric current will repel both poles of the magnet by bending away from the wire since it is changing directions around the wire. Magnetic fields are produced when moving electric charges (electrons in a circuit) move, and vice versa (electricity).

A wire heats up when a current flows through it because some of the electrical energy is transformed into heat energy due to resistance the wire encounters. This is referred to as the electric current's heating impact.

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Two friends, Burt and Ernie, are standing at opposite ends of a uniform log that is floating in a lake. The log is 3.9 m long and has mass 260 kg. Burt has mass 30.0 kg and Ernie has mass 40.5 kg. Initially the log and the two friends are at rest relative to the shore. Burt then offers Ernie a cookie, and Ernie walks to Burt's end of the log to get it.
A) Relative to the shore, what distance has the log moved by the time Ernie reaches Burt? Neglect any horizontal force that the water exerts on the log and assume that neither Burt nor Ernie falls off the log.

Answers

By the time Ernie gets to Burt, the log has drifted 0.29 metres away from the coast.

Centre of mass definition ?

The location where the centre of the distribution of mass in space is located is the centre of mass for a given item or system of objects. For bodies to continue to be at rest, the centre of mass must equal zero.

It may be expressed as,

∑miΔxi=0

m=mass

x=distance

The 3.2m-long log weighs 290kg and is 3.2m long. Ernie weighs 32 kg, whereas Burt weighs 33 kg.

Ernie accepts Burt's offer of a cookie and moves to his side of the log to take it.

By the time Ernie gets to Burt, the log should have travelled x metres. Consequently, using the formula above,

33(x)+290(x)+32(x-32)=0

x=0.29m

As a result, the log has travelled 0.29 metres by the time Ernie gets to Burt.

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A flask is filled with 1.57 L (L: liter) of a liquid at 90.6 °C. When the liquid is cooled to 10.2 °C, its volume is only 1.38 L. however. Neglect the contraction of the flask. What is the coefficient of volume expansion of the liquid?

Answers

The coefficient of volume expansion of the liquid = 1.97 × 10⁻³ /⁰C

What is the coefficient of volume expansion of the liquid?

The amount of volume that a substance expands by per unit of its original volume for each degree that its temperature rises is known as the coefficient of volume expansion.

As we know, The coefficient of volume expansion of the liquid

= change in volume/(original volume × temperature difference)

= (V₂ - V₁)/[V₁ × (T₂ - T₁)]

Change in volume = (V₂ - V₁)

Here, V₂ ( final volume) = 1.31 L

V₁  (initial volume)= 1.55 L

T₂ (final temperature) = 14.7 degrees

T₁ (initial temperature) = 96 degrees

The coefficient of volume expansion of the liquid

= (1.31 - 1.55) / [1.5 × (14.7- 96)]

= 1.97 × 10⁻³ /⁰C

Thus, the coefficient of volume expansion of the liquid = 1.97 × 10⁻³ /⁰C

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using radiometric dating scientists have established the age of earth to be about 4.6 billion years old. this is an example of an absolute age because the age in years has been calculated

Answers

The Earth’s age was established to be about 4.6 billion years ago using radiometric dating which is an example of an absolute age because the age in years has been calculated is true.

Scientists have been studying ancient Earth to establish an accurate timeline of its formation and the evolution of all life. They have used several types of methods to determine the ages of materials. There are two main categories by which this is done relative age dating and absolute age dating. Relative age dating refers to the study of a material and its comparison to other similar materials to establish a timeline. Absolute age dating method refers to a method of measuring how old a natural material is in years. In other words, the absolute age of an Earth material is to determine how old it actually is in years. It is sometimes called a calendar age. Using radiometric dating, scientists have established the age of Earth to be 4.6 billion years which is an example of an absolute age.

Note: The question is incomplete as it is missing options which are A) True B) False.

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What initiative regarding Native Americans did the government begin in 1954, but stop by 1962?
A. Expanding the role of the federal government in daily governance of reservations
B. Providing additional federal funds for Native American education
C. Allowing Native American reservations to use federal funds as they found fit
D. Abolishing reservations and relocating Native Americans

Answers

The government started allowing reservations for Native Americans to use federal monies in 1954, but stopped by 1962.

What makes them reservations, exactly?

The earliest phase of Indian encounters with Europeans is when the word "exclusive" originally appeared. A sizable portion of the Indians' country was "reserved" for their exclusive use through treaties. Indians were intended to live on reserves, which are frequently sparsely populated areas of land.

What use did reservations serve?

Displacement to reservations had two purposes for the United States. Native Americans were originally removed from the area to create room for westward territories. Second, it made it possible for the US to carry out a strategy to transform tribal villages into modest farming settlements.

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Abbey and Mia are in the basement playing pool. On Abbey's recent shot, the cue ball was moving east at 91 cm/s when it struck the slower 8-ball moving in the same direction at 18 cm/s. The 8-ball immediately speeds up to 62 cm/s. Determine the post-collision velocity of the cue ball. (Assume all balls have the same mass.)

Answers

Answer:

I think the answer is 54 cm

18. scientists measured the beak length of a population of birds in a lake in 1960. they measured the beak length of the bird population again in 2010. what do the graphs show you about the variation in the beak lengths of the birds by the lake?

Answers

The graph shows that there was more variation in 2010.

What is a graph?

A graph can be described as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

A graph is a common data structure that consists of a finite set of nodes (or vertices) and a set of edges connecting them.

From the graph show, scientists measured the beak length of a population of birds in a lake in 1960. they measured the beak length of the bird population again in 2010. The graph shows that there was more variation in 2010.

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Raise your hand and hold it flat. Think of the space between your index finger and your middle finger as one slit, and think of the space between middle finger and ring finger as a second slit.(a) Consider the interference resulting from sending coherent visible light perpendicularly through this pair of openings. Calculate the angle between adjacent zones of constructive interference, assuming the width of your middle finger to be 2.7 cm and the wavelength of the light to be 700 nm.(b) To make the angles in the interference pattern easy to measure with a plastic protractor (e.g., for which the angle between the central maximum and the adjacent ones is 15�), you should use an electromagnetic wave with what frequency?HzHow is this wave classified on the electromagnetic spectrum?

Answers

Angle and frequency between neighboring zones for constructive interference are both 1.846 * 103⁻³ degrees and 6.44 * 10¹⁰ Hz, respectively.

What exactly is regularity and why is it significant?

The quantity of oscillations that pass a given point in one unit of time, as well as the number of passes or oscillations that an object in periodic motion experiences in one unit of time Multiple electrical frequencies cannot coexist without causing device damage, hence keeping a constant electrical rate is crucial. When it comes to supplying power on a national basis, this has important ramifications.

Briefing:

a). For Constructive interference;

[tex]$$\begin{aligned}& d \sin \theta=m \lambda \\& \theta=\sin ^{-1}\left(\frac{m \lambda}{d}\right)=\sin ^{-1}\left(\frac{1 \times 580 \times 10^{-9}}{0.018}\right) \\& \theta=1.846 \times 10^{-3} \text { degreees }\end{aligned}$$[/tex]

Angle between nearby constructive interference zones;

[tex]$$\Delta \theta=1.846 \times 10^{-3}-0=1.846 \times 10^{-3} \text { degrees }$$[/tex]

b). [tex]$0.018 \sin 15=1 \times \lambda$[/tex]

[tex]$\lambda=4.66 \mathrm{~mm}$[/tex]

Frequency;

[tex]$$\begin{aligned}& \mathrm{f}=\mathrm{c} / \mathrm{lambda}=\left(3^* 10^8\right) /\left(4.66^* 10^{-3}\right) \\& \mathrm{f}=6.44^* 10^{10} \mathrm{~Hz}\end{aligned}$$[/tex]

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The complete question is-

Raise your hand and hold it flat. Think of the space between your index finger and your middle finger as one slit, and think of the space between middle finger and ring finger as a second slit.

(a) Consider the interference resulting from sending coherent visible light perpendicularly through this pair of openings. Calculate the angle between adjacent zones of constructive interference, assuming the width of your middle finger to be 2.7 cm and the wavelength of the light to be 700 nm.

(b) To make the angles in the interference pattern easy to measure with a plastic protractor (e.g., for which the angle between the central maximum and the adjacent ones is 15), you should use an electromagnetic wave with what frequency?

Hz

How is this wave classified on the electromagnetic spectrum?

consider the given result of a chromatography experiment. developed chromatography plate with three spots. spot a has travelled about half of the distance between the starting line and the solvent front. spot b has travelled about one third of the distance between the starting line and the solvent front. spot c has travelled about three quarters of the distance between the starting line and the solvent front. identify which spot corresponds to the compound in each description. has a retention factor of about 0.60 choose... corresponds to the compound with the highest affinity for the solvent choose... corresponds to the compound with the lowest affinity for the solvent choose...

Answers

TLC is a frequently used technique in organic chemistry labs because it can provide immediate and important information about the purity of a sample and whether or not a reaction is taking place. Using low polarity solvents, a TLC plate can be finished in less than five minutes.

What will happen if sample spots are too close to each other in chromatography?

Problems with the separation can result from a location that is overly large or dense. 6. If you are using multiple samples on the same plate, be sure their spots do not overlap. In order to avoid colliding during the separation, adjacent dots must be spaced by at least 0.5 cm.

Since the ratio between the distances stays constant, the Rf value won't change if the solvent is only permitted to move halfway up the plate. After marking the front line of the solvent on the TLC plate and removing it from the developing chamber, let the plate air dry. When a substance is placed to a TLC plate in excess, the dot may streak over the plate or touch nearby samples that are being evaluated.

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the four particles in figure are connected by rigid rod of negligible mass the origin is at the center if the rectangle the system rotates in the xy plane about the z axis with an angular speed of 6 rad/s calculate the moment of the inertia of the system about the z axis and the rotational kinetic energy of the system

Answers

The moment of the inertia of the system about the z axis and the rotational kinetic energy of the system is 143 Kg/m².

What is moment of inertia?

A body's resistance to having the speed of its rotation along an axis changed by the application of a torque is quantified by the term "moment of inertia" in physics (turning force). The axis might be internal or exterior, and it can be fixed or not.

Let, the distance of mass 2 kg from O to r₁

Therefore, r₁ = [tex]\sqrt{2^2 +3^2}[/tex]

r₁ = [tex]\sqrt{13}[/tex] m

the distance of masses to the rotational axis are same.

So, r₁ = r₂ = r₃ = r₄ = r = [tex]\sqrt{13}[/tex]

Hence, I = ∑ [tex]m_i r^2[/tex]

I = r² (m₁ + m₂ + m₃+ m₄)

I = 13 × (11)

I = 143 Kg/m²

So, the moment of the inertia of the system about the z axis and the rotational kinetic energy of the system is 143 Kg/m².

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The svstem shown below is released from rest
and moves 50 cm in 1.0 second. What is the value
of M? All surfaces are frictionless.

Answers

Value of M (mass of other block) in the mention pulley system is 3.68 kg.

What is tension?

Tension is the contact force transmitted when the force on both ends pulls on a rope, cord, wire, etc.

For example, a tire swing hanging from a tree creates tension in the rope that holds the swing to the branch. Pulling at the bottom of the rope is due to gravity, while pulling up is due to the branches resisting rope pull. The pulling force acts along the length of the rope and acts evenly on the objects (tires and branches) at both ends. At the hoop, the pull is upward (because the tension in the rope holds the hoop up), but at the branch the pull is downward (a taut rope pulls the branch down).

Let's calculate acceleration:

S = ut + ¹/₂ at²

Where, s = 50 cm or 0.5 m

u = 0 m/s

t = 1.0 second

Now, substitute the values:

0.5 = 0 × 1 + ¹/₂ a × 1²

0.5 = ¹/₂ a

a = 1 m/s²

Now for tension force following are the equations:

T = ma + mg

T = Mg - Ma

ma + mg = Mg - Ma

Where, T = Tension force

m = 3 kg

a = 1 m/s²

g = 9.8 m/s²

M = To be calculated

a = (Mg - mg)/(M + m)

1 = (M × 9.8 - 3 × 9.8)/(M + 3)

1(M + 3) = 9.8 M - 29.4

M + 3 = 9.8 M - 29.4

29.4 + 3 = 9.8 M - M

32.4 = 8.8 M

M = 32.4/8.8

M = 3.68 kg

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The complete question is as follows:

The system shown below is released from rest and moves 50 cm in 1.0 second. What is the value of M? All surfaces are frictionless.

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