A track & field jumper goes into the long jump with a speed of 5.0 m/s at an angle of 20⁰ above the horizontal. what is the jumper's horizontal speed as they jump? what is their vertical speed?

Answers

Answer 1

Answer: Horizontal Speed = 4.6 m/s

              Vertical Speed = 1.7 m/s

Explanation:

Jumper's velocity = 5 m/s

Angle = 20 degrees

the angle is theta, so theta = 20 degrees

Theta is the angle between the hypothenuse and the adjacent side.

The horizontal side will be the adjacent side, and the vertical side will be the opposite side.

The hypothenuse = 5 m/s

First, let's calculate the adjacent side (horizontal speed)

We have cosine of theta, which is equal to adjacent side / hypothenuse

So, [tex]cos(20) = adjacent/5[/tex]

Multiply 5 on both sides, to get the 5 on the right side canceled.

5cos(20) = adjacent side.

4.6 = adjacent side

Horizontal Speed = 4.6 m/s

Now, let's calculate the vertical speed.

To do that, we need to calculate the opposite side.

We can calculate the opposite side with the help of sin.

The sin of theta equals to opposite side / hypothenuse

[tex]sin(20)=opposite/5[/tex]

We do the same thing, multiply 5 on both sides.

5sin(20) = opposite

1.7 = opposite

Vertical Speed = 1.7 m/s

Hope I Helped!

A Track & Field Jumper Goes Into The Long Jump With A Speed Of 5.0 M/s At An Angle Of 20 Above The

Related Questions

Zoe has 25 grams of water (c = 4.186 joules over grams times degrees celsius) at 10°c, which she mixes with 12 grams of water at 30°c. assume that no heat is lost to the surroundings. what is the final temperature of the two liquids? the answer is expressed to the nearest whole number. –47°c –8°c 3°c 16°c

Answers

Howdy,

We use the expression Q = mC(T2-T1). We caclulate as follows:

Q absorbed = Q released

m1 C (T-T1) = -m2 C (T-T1)

C can be cancelled since they are the same substance.

m1 (T-T1) = -m2 (T-T1)

25 (T-10) = -12 (T-30)

T = 16.49 degrees Celsius

The final temperature of the two liquids is 16.49 degrees Celsius.

What is  thermal energy?

The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process.

We use the expression Q = mC(T2-T1). We caclulate as follows:

Q absorbed = Q released

m1 C (T-T1) = -m2 C (T-T1)

C can be cancelled since they are the same substance.

m1 (T-T1) = -m2 (T-T1)

25 (T-10) = -12 (T-30)

T = 16.49 degrees Celsius

The final temperature of the two liquids is 16.49 degrees Celsius.

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WILL GIVE BRAINLIST TO THE CORRECT ANSWER!

Read the two passages.

Excerpt from The Gettysburg Address, 1863

By Abraham Lincoln

Four score and seven years ago, our fathers brought forth upon this continent a new nation: conceived in liberty, and dedicated to the proposition that all men are created equal.… Now we are engaged in a great civil war…[and many have died]. It is for us the living…to be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced. It is rather for us to be here dedicated to the great task remaining before us ...that we here highly resolve that these dead shall not have died in vain...that this nation, under God, shall have a new birth of freedom...and that government of the people...by the people...for the people...shall not perish from this earth.

Excerpt from John F. Kennedy’s Inaugural Address, 1961

By John F. Kennedy

In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger; I do not shrink from this responsibility.… I welcome it. I do not believe that any of us would exchange places with any other people or any other generation. The energy, the faith, the devotion which we bring to this endeavor will light our country and all who serve it…and the glow from that fire can truly light the world. And so, my fellow Americans…ask not what your country can do for you…ask what you can do for your country. My fellow citizens of the world…ask not what America will do for you, but what together we can do for the Freedom of Man.

According to the supporting details, what do the speeches by Lincoln and Kennedy have in common?

A. Both speeches mention that the presidents do not welcome the role of defending freedom.

B. Both speeches express they do not want those who have died during a war to have died in vain.

C. Both speeches indicate a desire to motivate and unite Americans in order to preserve freedom.

D. Both speeches pose a question for each American to ask themselves.

Answers

Answer:

the best answer would be c

Explanation:

Answer: C. Both speeches indicate a desire to motivate and unite Americans in order to preserve freedom

Explanation:

One way to measure how long Jupiter takes to rotate is to watch the giant storms in its atmosphere go around. A more fundamental way to measure the rotation is to:

Answers

A more fundamental way to measure the rotation of Jupiter is to measure the changes in the planet's radio waves, which are controlled by its magnetic field.

Rotation of JupiterJupiter, in contrast to the inner terrestrial planets, is a sphere made almost completely of hydrogen and helium. There are no craters or mountains that spin into view after a set amount of time on Jupiter, unlike Mars or Mercury, which you can follow to determine the rotation speed.Out of all the planets in the Solar System, Jupiter rotates the most quickly. Given that Jupiter is also the largest planet in the Solar System, this is quite an accomplishment because it is rapidly rotating a vast amount of mass. The planet's equator protrudes due to its rapid spin. Jupiter doesn't appear to be a perfect sphere; rather, it resembles a squashed ball. Even with a modest telescope in your backyard, you can see the bulge at the equator.Observing the enormous storms that circle Jupiter's atmosphere can help determine how long it takes for Jupiter to revolve. Monitoring the variations in the planet's radio waves, which are governed by its magnetic field, is a more basic technique to gauge the rotation.

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Which word describes Arette?
A. Trilingual
B. Bilingual
C. Monolingual

Answers

Arette is considered bilingual.

Within the context of this question, Arette is from France but speaks two different language

What is bilingual?

Bilingual is a word which is usually, frequently and most of the times used to describes a person, community or a nation that speaks two languages.

I myself too; I am bilingual; I speak English and Yoruba

Generally, people who speak more more more than one language are considered as linguists

In conclusion, Arette is considered bilingual.

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when a car hits a hole in the road, the spring shown in the picture compresses by 20 mm.
the spring constant = 90kN/m
calculate the energy stored in the spring by this compression

Answers

The energy that is stored in the spring is 0.018 J.

What is Hooke's law?

Hooke's law states that as long as the elastic limit is not exceeded, the extension is directly proportional to the load.

Now we have the following;

The compression =  20 mm or 0.02 m

The spring constant = 90kN/m

Energy stored in the spring = 1/2Ke^2

= 1/2 *  90kN/m * (0.02 m)

= 0.018 J

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Two main features of each of the eight planets?​

Answers

Answer:

Mercury: Mercury is hot, but not too hot for ice. It has a thin atmosphere, and it doesn't have any moons.

Venus: Venus has a thick, toxic atmosphere filled with carbon dioxide and it's perpetually shrouded in thick, yellowish clouds of sulfuric acid that trap heat, causing a runaway greenhouse effect. That is why it is very hot on Venus.

Mars: Mars is similar to Earth. Like Earth, Mars has seasons, polar ice caps, volcanoes, canyons, and weather. It has an atmosphere, but it is very, very thin.

Jupiter: Because of its great mass, Jupiter is a great comet catcher. Jupiter is covered in swirling cloud stripes and has many storms. An example is the great red spot.

Saturn: No one knows how old Saturn's rings are. It remains a mystery. A cool fact about Saturn could float in water because it is mostly made of gas.

Uranus: Uranus is more stormy than we thought. Uranus is the coldest planet in the Solar System.

Neptune: Neptune has supersonic winds. These winds of are on average over 700 mph.

J.J. Thomson discovered the electron by noticing that: A. molecules with the same atoms exhibited the same chemical properties. B. a beam of particles could be influenced by an electric or magnetic force. C. chemical compounds contained various combinations of at least two atoms. D. some particles in a beam were deflected when passed through a sheet of gold foil.​

Answers

J.J. Thomson discovered the electron by noticing that a beam of particles could be influenced by an electric or magnetic force.. That is option B.

What is an electron?

An electron can be defined as the part of an atom that is negatively charged and is found revolving round the nucleus of an atom.

J.J. Thomson was the scientist that discovered electrons through subjecting two oppositely-charged electric plates around the cathode ray.

He noticed that the particles where deflected by both the magnetic and electric fields.

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At a particular instant, a hot air balloon is 100 m in the air and descending at a constant speed of 2.0 m/s. at this exact instant, a girl throws a ball horizontally, relative to herself, with an initial speed of 20 m/s. when she lands, where will she find the ball? ignore air resistance.

Answers

Answer:

86.4 m  horizontal from landing spot

Explanation:

Find out how long before the ball hits the ground

 vertical speed  of ball = -2  m/s     gravity = - 9.81 m/s^2

find time to hit ground from 100 m  

          ( height will be zero when it hits the ground)

0 =  100  - 2 t  - 1/2 ( 9.81) t^2

        use Quadratic Formula to find t = 4.32 seconds

              horizontal speed of ball = 20 m/s  

in 4.32 seconds it will travel horizontally   20  m/s * 4.32 s = 86.4 m

Somebody please help me

Conversion Steps that Provide Energy in the Biosphere

1. Solar energy comes from nuclear fusion.
2. Solar energy is absorbed by chlorophyll in plants.
3. Respiration releases chemical potential energy.
4. Photosynthesis converts carbon dioxide and water into glucose and oxygen.

The conversion steps listed above in order from start to finish are

Answers

The conversion steps listed above in order from start to finish are already in an arranged form from 1-4.

What is a biosphere?

A biosphere can be defined as the part of the earth that supports life. These include :

aquatic,

desert,

forest,

grassland and

tundra.

The flow of energy through the biosphere includes

Energy from the sun which is as a result of the nuclear fusion,

the energy released is absorbed by plant chlorophyll,

Chemical energy is released during respiration.

Photosynthesis converts carbon dioxide and water into glucose and oxygen.

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Radioactive fuel rods from power plants emit what kind of energy? A. mechanical B. nuclear C. thermal ​

Answers

Answer:

B. Nuclear Energy

At what distance is the electrostatic force between two protons equal to the weight of one?.

Answers

0.118 m is the distance between the two protons.

Mass of proton = 1.6726 × 10⁻²⁷ kg

Weight of proton= 1.6726 × 10⁻²⁷ x 9.81 N

                            = 1.6408 × 10⁻²⁶ N

Charge of proton = 1.602 × 10⁻²⁹ C

The force between two protons = kq²/r²     where, K is a proportionality    

                                                            constant, q is a charge of proton and  

                                                         r is the distance between two protons.          

                                                       = 9 × 10⁹ × (1.602×10⁻¹⁹)²/r²      

To calculate distance :

  Weight of proton= Force between protons

 ⇒   1.6408 × 10⁻²⁶ N = 9 × 10⁹ × (1.602×10⁻¹⁹)²/r²

 ⇒    r = 0.118m

Therefore, 0.118 m is the distance between the two protons.

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Summarize the differences between solids, liquids, and gases in terms of particle motion, shape, and compressibility.

Answers

Solids have a distinct volume and form. Although they have a specific capacity, liquids adopt the form of a container. Gases lack a distinct volume or form.

What is gas?

Gas is a sample of matter that adopts the shape of the container in which it is housed and develops a uniform density inside the container.

a)Particle motion

Liquid molecules are more energetic than solid molecules. Further heating will cause the molecules to move so quickly that they won't stick together at all. The gas molecules have the highest energy content.

b)Shapes

Solids are discrete in their shape and volume. Although they take on the shape of the container, liquids have a specific volume. The form and volume of gases are ambiguous.

c)Compressibility

The solid or liquid's constituent atoms, ions, or molecules are in close proximity to one another.

The greater compressible nature of gases compared to liquids or solids is explained by the kinetic-molecular hypothesis.

Hence solids, liquids, and gases differentiate in terms of particle motion, shape, and compressibility.

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Answer:

In a solid, atoms vibrate or wiggle, but are locked in place. Solids have a rigid shape, and are hard to compress. In a liquid, atoms have some freedom to move. Liquids take the shape of their container, and are hard to compress. In a gas, atoms move freely. Gases have no definite shape, and are easy to compress.

Explanation:

5. How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a speed of 55 km/hr?
6. A car is traveling at 100 km/hr. How many hours will it take to cover a distance of 750 km?
7. A plane traveled for about 2.5 hours at a speed of 1200 km/hr. What distance did it travel?
8. A girl is pedaling her bicycle at a speed of 0.10 km/min. How far will she travel in two hours?
9. An ant carries food at a speed of 1 cm/s. How long will take the ant to carry a cookie crumb from the kitchen table to the anthill, a distance of 50 m? Express your answer in seconds. How many hours is this?
10. The water in the Buffalo River flows at an average speed of 5 km/hr. If you and a friend decide to canoe down the river a distance of 16 kilometers, how many hours and minutes will it take?​

Answers

Answer:

7 minutes in a hour okay

Which of the following situations violates the second law of
thermodynamics?
OA. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 80 J of heat to a hot reservoir.
B. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 70 J of heat to a cool reservoir.
C. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 120 J of heat to a hot reservoir.
D. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 20 J of heat to a cool reservoir.

Answers

C. A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.

What would violate the second law of thermodynamics?

In order to operate, a heat engine must reject some of the heat it receives from the high-temperature source to a low-temperature sink.

A heat engine that violates the second law converts 100 percent of this heat to work. This is physically impossible. This heat engine violates the second law of thermodynamics.

The second law can also be stated as no heat engine can have a thermal efficiency of 100 percent.

The thermal efficiency of a heat engine is defined as the ratio of the work output to the heat input:

Clearly, if the thermal efficiency of a heat engine is 100 percent,

Qin=Wout

If the second law precludes a heat engine from having a thermal efficiency of 100 percent. A heat engine is a device that converts a portion of the heat supplied to it from a high-temperature source into work. The remaining heat is rejected to a low-temperature sink.

Therefore:

A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.

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PLEASE HELP!!!!

What is intelligence?

the emotional abilities of an individual to learn from experience, and to cope effectively with the demands of daily living

the ability to score well on standardized tests,

the cognitive abilities of an individual to learn from experience to reason well, and to cope effectively with the demands of daily living,

how quickly an individual can reduce or eliminate stress

Answers

Answer:

the cognitive abilities of an individual to learn from experience to reason well, and to cope effectively with the demands of daily living

Explanation:

Yes that can be understood by a simple example

Suppose two people are in exam

A difficult and logical question cameThe person can use his cognitive abilities faster can solve that

[tex]\large\longrightarrow [/tex] Intelligence is the cognitive abilities of an individual to learn from experience to reason well, and to cope effectively with the demands of daily living.

which two factors decrease as the kinetic energy of the particles in an object decrease

Answers

The particle temperature and the valency of the atom in the particles are the two parameters that decrease with the kinetic energy of the particles in an item.

What is temperature?

Temperature directs to the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity. Faster the motion of particles more the temperature.

Because an item possesses kinetic energy when it is moving, anything that prevents that motion will reduce the kinetic energy of the object.

A valence electron is an electron in the outermost shell associated with an atom that can experience the innovation of a chemical bond if the outer shell is not closed. Both atoms contribute one valence electron to create a shared pair.

More the valence electron more the motion of atoms results in more kinetic energy,

Hence the two factors decrease as the kinetic energy of the particles in an object will be the particle temperature and the valency of the atom in the particles.

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Convert 800 cm to meters.

Answers

Answer:8 meters

Explanation:100cm is a meter

Answer:

8 meters

Explanation:

800 cm * 0.01 m/1 cm = 8.0 m

Imagine you want to create a model of Solar system (and beyond) with the Sun

represented by a beach ball of diameter 60 cm = 0.60 m. (i.e. of radius 30 cm = 0.30m). On that same scale:

What is the diameter of the Milky Way?

And the diameter or Radius of Earth

Answers

Using the scale model of the Sun given;

The diameter of the Milky Way = 4.28 × 10¹¹ mThe diameter of the Earth = 5.44 × 10⁻³ m

What is the diameter of the Milky Way?

The diameter of the Milky Way is about 1 × 10¹⁸ km.

The diameter of the Sun is about 1.4 × 10⁶ km

The diameter of the Earth is about 1.27 × 10⁴ km.

Using the scale model of the Sun given, the diameter of the Milky Way = (1 × 10¹⁸ km/1.4 × 10⁶ km) × 0.6 m

The diameter of the Milky Way = 4.28 × 10¹¹ m

Using the scale model of the Sun given, the diameter of the Milky Way = (1.27 × 10⁴ km/1.4 × 10⁶ km) × 0.6 m

The diameter of the Earth = 5.44 × 10⁻³ m

In conclusion, the diameter of the Milky Way is far bigger than the Sun while the diameter of the Sun is about 5400 times bigger than the Earth.

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If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have

Answers

The acceleration of the mass when it is nudged ever so slightly on the incline: a = (g sin(∅)) - (μ g cos(∅))

If the minimum mass on the incline is nudged ever so slightly, it will experience a force due to gravity pulling it down the incline. This force can be broken down into two components: one parallel to the incline and one perpendicular to the incline.

Since the mass is on an incline, it experiences a normal force that is perpendicular to the incline.

The perpendicular component, also known as the weight component perpendicular to the incline, is given by mg cos(∅).

The force of friction can be represented as the product of the coefficient of friction (μ) and the normal force (mg cos(∅)).

Therefore, the net force along the incline is;

(mg sin(∅)) - (μ mg cos(∅)).

To calculate the acceleration, we use Newton's second law, which states that the net force acting on an object is equal to its mass (m) multiplied by its acceleration (a).

(mg sin(∅)) - (μ mg cos(∅)) = ma

Simplifying:

a = (g sin(∅)) - (μ g cos(∅))

This is the expression for the acceleration of the mass when it is nudged ever so slightly on the incline. The acceleration will depend on the angle of the incline (theta), the coefficient of friction (μ), and the acceleration due to gravity (g).

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A weeping willow tree has hard stem from which branches and leaves grow.Its roots griw long.What function of the stem and roit do the sentences describe?​

Answers

Answer:

The weeping willow is a gentle, graceful tree, but willow tree roots are very shallow and invasive. This means it's not the best backyard tree option for many

Explanation:

The comet-hunting astronomer who made a list of over 100 nebulae and galaxies that could be mistaken for comets was Group of answer choices

Answers

An Astronomer who made a list of 100 nebulae and galaxies that could

be mistaken for comets was Charles Messer's.

Charles Messier's was a very famous scientist in the field of Astronomy.

His research in appearance of Great comet filled spark to his passion

 of Astronomy. On January 21, 1759 he put his thought of wrong

 calculation of Delisle's and he described a faint glow resembling comet

 had been seen earlier. Then after, he discovered great comet near

 sword of Orion.

  There are various tales of Charles Messiers which put him forward

  towards his love of Astronomy.

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Suppose that a voltage surge produces 140 V for a moment in a 115-V line. What will temporarily be the output of a 100-W light bulb assuming its resistance does not change

Answers

The temporarily be the output of a 100-W light bulb is 148 watt.

To find the answer, we need to know about the resistance of the bulb.

What's the mathematical expression of resistance of the bulb in term of power and voltage?Mathematically, power= voltage²/resistanceSo, resistance= voltage²/powerWhat's the resistance of the bulb, if 115 volt is applied to 100 watt bulb?

Resistance= 115²/100= 132.25 Ohm

What's the power of the bulb, if 140 volt is applied to it?

Power= voltage²/resistance

= 140²/132.25

= 148watt

Thus, we can conclude that the temporary output of the bulb is 148 watt.

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A source generates 40 waves per sec. if the wavelength is 8 cm. calculate the time waves takes to reach a wall 120m from the source?​

Answers

Answer:

37.5 Seconds

Explanation:
Speed = frequency * Wavelength

We can find the Frequency by the information given, Frequency = waves per second .

40 Waves per second, = 40 Hz

Wavelength = 8cm
Cm = M
8cm/100 = 0.08m

Speed = 40 Hz * 0.08m
Speed = 3.2m/s

Speed = Distance / time taken
Time = Distance / Speed

Time = 120 / 3.2

Time = 37.5 seconds

A 60-kg skier starts from rest from the top of a 50-m high slope. If the work done by friction is -10.0 kJ, what is the speed of the skier on reaching the bottom of the slope

Answers

The speed of the skier on reaching the bottom of the slope is 25.43 m/s.

Kinetic energy of the skier on reaching the bottom of the slope

Kinetic energy on reach the bottom = P.E - 10 kJ

Kinetic energy on reach the bottom = (60)(9.8)(50) - 10 kJ

Kinetic energy on reach the bottom = 19.4 kJ = 19,400 J

Speed of the skier on reaching the bottom of the slope

K.E  = ¹/₂mv²

2K.E = mv²

v² = 2K.E/m

v² = (2 x 19,400)/(60)

v² = 646.667

v = √646.667

v = 25.43 m/s.

Thus, the speed of the skier on reaching the bottom of the slope is 25.43 m/s.

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A sphere of diameter 6.0cm is moulded into a thin uniform wire of diameter 0.2mm.calculate the length of the wire in metres.

Answers

The length of the wire is 36 m.

The density is the ratio of the mass and volume of a substance. The density  is given by the formula,

d=m/V

where d is the density. m is the mass and V is the volume.

The density of the material does not change and the initial and final volume of the substance will be equal when it has changed shape provided the mass has not been changed.

The radius r of the sphere is half of its diameter. Therefore, r=6.0/2 = 3.0 cm.

Then volume of the sphere Vs is given by the formula,

Vs=(4/3)*π*r^3

Put the value of r in the above formula.

Vs=(4/3)*3.14*(3.0)^3

Vs=113.04 cm^3

For the cylinder, the radius s=0.2/2 mm = 0.01 cm and the length l is unknown. The volume of the cylinder Vc is given by the formula,

Vc=πs^2l

Put s=0.01 cm in this equation and solve it.

Vc=(3.14)*(0.01)^2l

Vc=0.000314 l cm^2

The volume of the wire (cylindrical in shape) and the sphere are same, therefore,

Vc=Vs

0.000314 l =113.04

l=3600 cm

I=36 m.

Hence the length of the wire is 36 m.

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A team of engineers is asked to help a community improve local air qualiy what must a team do before it can begin to identify

Answers

The team of engineers must first define the problem, Option A.

What is air quality?

The term air quality has to do with the overall purity of the air in a certain locality. We know that the air in an area is affected by the activities of the people that reside in that vicinity.

In this case, the team of engineers must first define the problem before they can  improve local air quality in the community.

Missing parts;

A team of engineers is asked to help a community improve local air quality. What must the team do before it can begin to identify possible solutions?

answer choices

Iterate to improve the solution.

Define the problem.

Select one solution.

Model the solution.

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A transverse wave on a string has an amplitude a.a tiny spot on the string is colered red.as one cycle of the wave passes by what is the total distance travel by the red spot?

Answers

total distance travel by the red spot is 4 times of Amplitude

Given:

A transverse wave on a string has an amplitude "A". A tiny spot on the string is colored red.

To find:

Distance travelled by red spot in one cycle of the wave.

Solution:

So, we know that particles in a transverse wave oscillate periodically in a direction perpendicular to propagation of wave.

Frankly speaking, the type of motion shown by particles is SHM (simple harmonic motion)

So, in a wave cycle, the red dot will start from a particular position and will end at the same position.

Let's assume that the red coloured part started from mean point. So, it will go to one extremity return back to the other extremity and finally end at the mean position.

So, it traverses a distance 4 times of the Amplitude.

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A golf ball is initially travelling at 25m/sec hits a sand traps and slow down with an acceleration of -25m/sec. find its displacement after 2.0 sec.

Answers

The displacement of the ball is zero.

What is displacement?

The smallest distance between the initial and final position of an object.

What are the equations of motion?

There are three equations of motion that completely describes the motion of an object.

The first equation of motion gives the relationship between the initial velocity, final velocity, acceleration, and time.

The second equation of motion gives the relationship between the initial velocity, displacement, acceleration, and time.

The third equation of motion gives the relationship between the initial velocity, final velocity, acceleration, and displacement.

Given time, initial velocity, and acceleration, the displacement can be calculated using the second equation of motion. The second equation of motion is,

s=u*t+(1/2)*a*t^2

Here, u=25 m/sec, a=-25 m/sec and t=2.0 sec.

Put the values in the formula and calculate the displacement.

s= (25)*(2.0)+(1/2)*(-25)*(2.0)^2

s=50-50

s=0 m.

Hence the displacement of the ball is zero.

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A ball is thrown straight up from the ground level, with an initial velocity of 34.3 m/s.34.3 m/s. How high is the ball thrown

Answers

The maximum height attained by the ball is 60 m.

What is the maximum height?

We know that the maximum height can be obtained from the equation;

v^2 = u^2 - 2gh

v =  final velocity

u = initial velocity

g = acceleration due to gravity

h = maximum height

Since the final velocity is 0 m/s at maximum height then;

u^2 = 2gh

h = u^2/2g

h = (34.3)^2/2 * 9.8

h = 60 m

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What is the magnitude of the net electric field at the origin produced by this distribution of charge?

Answers

The magnitude of the net electric field at the origin due to the given distribution of charge is E_net = 4kQ/πR².

Given:

A semi-circle distribution with radius 'r'

Charges '+Q' and '-Q'

Calculation of net electric field:

Step 1:

The electric field for a charge is given as:

E = (kλ/R) i + (kλ/R) j         - ( 1 )

where, k is Coulomb's force constant

            λ is charge density

            R is separation distance between the charges

            i & j are unit vectors for x-axis and y-axis respectively

Step 2:

The electric field due to charge +Q is given as:

E₁ = (kλ/R) i - (kλ/R) j      - ( 2 )  

The electric field due to charge -Q is given as:

E₂ = (kλ/R) i + (kλ/R) j     - ( 3 )

Step 3:

Thus, the net electric field will be given as:

E_net = E₁ + E₂

Applying values in above equation, we get:

E_net = (kλ/R) i -(kλ/R) j + (kλ/R) i + (kλ/R) j

          =( kλ/R) [ i - j + i + j ]

          = 2i (kλ/R)                                     -( 4 )

Step 4:

Now, we know that the linear charge density is given as:

λ = Charge/length

   = Q/(πR/2)

   = 2Q/πR

Applying the value in equation 4, we get:

E_net = 2i (k(2Q/πR)/R)

          = 4i (kQ/πR²)

          = 4kQ/πR²

Therefore, the net electric field due to the given charge distribution is of magnitude 4kQ/πR² directed along the positive x-axis.

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