F= 10k F2 12k F3 = 18k Problems analytical solutions using force components. check graphically 2.9 three members of a truss frame into a steel gusset plate as shown. all forces are concurrent at point o. determine the resultant of the three forces that must be carried by the gusset plate.

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Answer 1

The resultant of the three forces that must be carried by the gusset plate is 22.14k

The resultant itself means total or amount. So, it can be said that the resultant force is the total or overall force acting on a system. The resultant force is a vector quantity.

F₁

sin 30° = x₁/10k

x₁ = 10 × sin 30° × k

x₁ = 5k

Similarly:

y₁ = 10k × cos30°

y₁ = 10k × 0.866

y₁ = 8.66k

F₂

The angle at F₂ is 0 degrees θ = 0°

So:

x₂ = -12k

y₂ = 0

F₃

cos 45° = x₃/18k

x₃ = 18 × cos 45° × k

x₃ = 12.728 k

Similarly:

y₃ = 18k × sin 45°

y₃ = 18k × 0.707

y₃ = 12.728 k

Resultant of x:

x = x₁ - x₂ + x₃

x = 5k -12 k + 12.728 k

x = 5.726 k

Resultant of y:

y = y₁ - y₂ + y₃

y = 8.66k - 0k + 12.728 k

y = 21.388k

Resultant F:

F = [tex]\sqrt{x^2 + y^2}[/tex]

F = [tex]\sqrt{ 5.726^2 + 21.388^2 }[/tex]

F = [tex]\sqrt{ 32.787+ 457.446 }[/tex]

F = [tex]\sqrt{ 490.233 }[/tex]

F = 22.14k

So, the resultant of the three forces is 22.14k

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F= 10k F2 12k F3 = 18k Problems Analytical Solutions Using Force Components. Check Graphically 2.9 Three

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Frequency gives the number of unique purchases and monetary calculates the amount of money spent.

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The definition of frequency says that it is the number of complete cycles of a wave passing through a point per unit time.The SI unit of the frequency is Hertz (Hz).Frequency of a sine wave as the number of complete oscillations made by any wave element per unit time.A frequency is in periodic motion, it has gone through one cycle after passing through a series of events or positions and returning to its original state.

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a a 10000 kg train was moving with 48m/s then starts decelerate with constant rate to stop on its stationary that is found 192m away so the train slides through this distance and stops. how long the train did takes to stops​

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Answer:

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Then calculate the 4 seconds with the weight of the train.

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Discuss the importance of understanding both mechanical and electromagnetic waves by giving examples, such as designing comfortable and safe structures and technologies.

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What does N1 mean on a calculator?

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Changes using the SET UP menu and indicates the notation used to show a value. On the screen, N1 is shown as "NORM1," and N2 as "NORM2." An angular unit indicator is DEG, RAD, or GRAD. BUSSY: Shows up while performing  calculation.

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When 150 joules of work is done on a system by an external force of 15 newtons in 20. Seconds, the total energy of that system increases by.

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That system now has 150 Joule more energy overall. The apt response is choice (1)

Given that a 15 newton external force exerts 150 joules of work on a system in 20 seconds

The system's momentum is equal to its impulse.

This is,

Ft = mV

15 x 20 = mV

mV = 300 Ns

Since energy equals labour,

W = 1/2mV x V

150 = 0.5 x 300V

V = 1 m/s

With this, we can determine the distance traveled and the acceleration.

Using the first law of motion,

V = u + at

1 = 0 + 20a

a = 1/20

a = 0.05 m/

utilizing linear motion's third equation.

= + 2aS

All parameters are substituted in the equation.

= 0 + 2 x 0.05 S

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S = 10 m

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The work done = 150 Joule.

Therefore,  the total energy of that system increases by 150 Joule.

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How much work is required for an 80kg firefighter to run up 21.5m in 60s?

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Answer:

To calculate the amount of work required for an 80kg firefighter to run up a 21.5m in 60s, we first need to determine the force required to lift the firefighter up the 21.5m. Because the firefighter is running, we can assume that their body is moving at a constant speed, so the force required to lift them is equal to their weight, or 80kg.

Next, we need to calculate the distance over which the force is applied. In this case, the firefighter is running up a 21.5m flight of stairs, so the distance is 21.5m.

Finally, we need to determine the time over which the force is applied. In this case, the firefighter runs up the stairs in 60s, so the time is 60s.

To calculate the amount of work required, we use the formula W = F * d, where W is the work, F is the force, and d is the distance. Plugging in the values we determined above, we get:

W = 80kg * 21.5m = 1720kgm

Therefore, the amount of work required for the firefighter to run up the stairs in 60s is 1720kgm.

The amount of work required for the firefighter to run is 5.2 J.

What is meant by kinetic energy ?

Kinetic energy is defined as the energy acquired by a body by virtue of its motion.

Here,

Mass of the firefighter, m = 80 kg

Distance to be covered by the firefighter, d = 21.5m

Time taken by the firefighter, t = 60 s

So, velocity of the firefighter,

v = d/t

v = 21.5/60

v = 0.36 m/s

The amount of work required for the firefighter to run is equal to his kinetic energy.

Therefore, kinetic energy of the firefighter,

KE = 1/2 mv²

KE = 1/2 x 80 x(0.36)²

KE = 5.2 J

Hence,

The amount of work required for the firefighter to run is 5.2 J.

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As the solid is turned into gas, energy would be added to the solid.

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Saair rushes to her car in order to hurry home and dressed for work . Failing to realize the dangers to driving under slick and icy conditions, she collides her 976.0 kg Mazda Miata into the rear of a 3178.p kg pick up truck which was at rest at the light on Lake Avenue . Ima's per-collision speed was 12.0 m/s . Determine the collision speed of the two entangled cars as they slide across the ice

Answers

The post collision speed of the Mazda Miata and the  pick up truck  as they slide across the ice are respectively 6.36 m/s and 5.64 m/s.

What is elastic collision?

An elastic collision is one in which the system does not experience a net loss of kinetic energy as a result of the collision.

Given that masses of the  Mazda Miata and the pick-up truck are respectively 976.0 kg  and 3178.0 kg.

Pre-collision speed of Ima = 12.0 m/s.

As the collision is elastic in nature,

The post collision speed of the Mazda Miata =

{(976.0 - 3178.0)/(976.0 - 3178.0)} × 12.0 m/s

= - 6.36 m/s.

The post collision speed of the pick up truck =

{(2×976.0)/(976.0 - 3178.0)} × 12.0 m/s

=5.64 m/s.

Hence, the post collision speed of  the two entangled cars  as they slide across the ice are respectively 6.36 m/s and 5.64 m/s.

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a slingshot consists of a light leather cup attached between 2 rubber bands. if it takes force of 32 N to stretch the bands 1,2 cm what is the equilibrium spring constant of the 2 rubber bands

Answers

The equivalent spring constant of the two rubber bands is 2667 N/m

We can solve the problem by using Hooke's law, which states that the strain of the material is proportional to the applied stress within the elastic limit of that material. This can be represented by the formula:

[tex]F=-kx[/tex]

where

F is the force applied to the rubber bands

k is the equivalent spring constant of the two rubber bands

x is the stretching constant of the two rubber bands

In this problem, we have been given the following values

F = 32 N is the force applied

x = 1.2 cm

= 0.012 m is the stretching of the bands

Solving for k, we find the equivalent spring constant of the two rubber bands:

[tex]k=\frac{F}{x}[/tex]

k=[tex]\frac{32}{0.012}[/tex]

k = 2667 N/m

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Which has the events in the right order, from early to late?

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what are directions of acceleration and net force if the speed of an object is changing while rotating in a circular motion?

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Centripetal acceleration (a):

a = v^2/r

where v is the speed of the object, and r is the radius of the circular path.

Centripetal force (F):

F = ma = m(v^2/r)

where m is the mass of the object.

So, if the speed of an object is changing while it is rotating in a circular motion, the direction of the acceleration and the net force acting on the object will always be towards the center of the circle. The magnitude of the acceleration and the force will depend on the speed, radius, and mass of the object.

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Transversal class 7 is a type of math class that focuses on developing skills related to problem solving, logical reasoning, and critical thinking. It usually covers topics such as algebra, geometry, statistics, probability, and calculus.

Transversal class 7 is a type of math class that is designed to help students develop their problem-solving, logical reasoning, and critical thinking skills. It typically focuses on several topics such as algebra, geometry, statistics, probability, and calculus. Students learn to apply the principles and concepts of these topics to solve problems. They also develop strategies for approaching difficult problems and are encouraged to think outside the box. Transversal class 7 is an important class for students to take as it can help them develop skills that they will use throughout their academic and professional lives. It also helps to prepare them for higher level math classes such as calculus and linear algebra.

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30 POINTS PLS HELP

The picture attached has the question

Answers

Answer: cold or hot

Explanation:

An animal moves a distance of 160m in 40 seconds. Calculate the speed.

Answers

Answer:

To calculate the speed of the animal, we need to divide the distance it travels by the time it takes to travel that distance. In this case, the distance is 160 meters and the time is 40 seconds, so the speed is:

speed = distance / time = 160m / 40s = 4 m/s

This means that the animal was moving at a speed of 4 meters per second.

Explanation:

the position-versus-time plot of a boat positioning itself next to a dock is shown in the figure

Answers

The ranking in the order of increasing velocity is D, C, E, A =F, B.

We know slope of a position time graph gives the value of velocity.

An upward slope gives positive velocity and a downward slope gives negative velocity.

slope m = position/time = velocity

Slope is negative at points D and C, but is more negative at D.

Positive slopes are at points A,E,F,B.

If we look at the slopes, we can easily say that slopes are zero at A and F and is maximum positive at B.

So, we have ranking in order of increasing velocity as D C E A=F, B

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Brooklyn, Ava, Jadya, Bri, and Gabby are invited to the “We are the quiet, good kids' ' party. At the party, they take turns riding a new super cool motorbike. Each student rides 2.8 km on the bike. Brooklyn has a time of 6 minutes, 13 seconds. Ava has a time of 6 min 3 sec. Jayda has a time of 5 min 57 sec, Bri has a time of 5 min 33 sec and Gabby has a time of 6 min 48 sec. Calculate each Good kid's velocity.

Answers

The velocity of each good kids are:

The velocity of Brooklyn is 7.5 m/sThe velocity of Ava is 7.7 m/sThe velocity of Jadya is 7.8 m/sThe velocity of Bri is 8.4 m/sThe velocity of Gabby is 6.9 m/s

How do I determine the velocity?

The velocity of each good kids can be obtained as illustrated below:

For Brooklyn

Distance = 2.8 Km = 2.8 × 1000 = 2800 mTime = 6 mins 13 s = (6 × 60) + 13 = 373 sVelocity =?

Velocity = distance / time

Velocity = 2800 / 373

Velocity = 7.5 m/s

For Ava

Distance = 2.8 Km = 2.8 × 1000 = 2800 mTime = 6 mins 3 s = (6 × 60) + 3 = 363 sVelocity =?

Velocity = distance / time

Velocity = 2800 / 363

Velocity = 7.7 m/s

For Jadya

Distance = 2.8 Km = 2.8 × 1000 = 2800 mTime = 5 mins 57 s = (5 × 60) + 57 = 357 sVelocity =?

Velocity = distance / time

Velocity = 2800 / 357

Velocity = 7.8 m/s

For Bri

Distance = 2.8 Km = 2.8 × 1000 = 2800 mTime = 5 mins 33 s = (5 × 60) + 33 = 333 sVelocity =?

Velocity = distance / time

Velocity = 2800 / 333

Velocity = 8.4 m/s

For Gabby

Distance = 2.8 Km = 2.8 × 1000 = 2800 mTime = 6 mins 48 s = (6 × 60) + 48 = 408 sVelocity =?

Velocity = distance / time

Velocity = 2800 / 408

Velocity = 6.9 m/s

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What was the original purpose of sonar?

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Leonardo da Vinci utilised a tube introduced into the water to listen for vessels in order to employ the technology for the first time, in 1490.

What was employed before to sonar?

To combat the rising threat of submarine warfare, it was developed during World War I, and by 1918, a functioning passive sonar system was in use.

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Question 20These are the predecessor building blocks for neurotransmitters.1.affinity2.synaptic vesicles3.none of these are correct4.enzyme5.precursor

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The neurons typically include enzyme precursors. A chemical substance that block a neurotransmitter's activity is constantly present in neurons.

These substances are released by the postsynaptic neurons' receptor cells, which then take them in and bind them. The following techniques can be used to limit neurotransmitter activity:  Excitatory, inhibitory, and modulatory neurotransmitters make up the list of neurotransmitters. The potential for action of a target cell is increased by excitatory neurotransmitters. By promoting cell relaxation, inhibitory neurotransmitters reduce the potential activity of a receptor cell. Therefore, improper glutamate neurotransmission plays a role in the emergence of epilepsy as well as cognitive and affective disorders. The inhibitory neurotransmitter serotonin (5-hydroxytryptamine, 5-HT) has been discovered to play a crucial role in mood and emotion.

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What is the formula of cutoff wavelength?

Answers

The cutoff wavelength calculation formula is  λ = c/f.

The cutoff wavelength is what?

The cutoff wavelength is the lowest wavelength at which light may cause electrons on a metal plate to become free.

The shortest wavelength of light that will not cause electrons to be emitted from a metal surface is the cut-off wavelength, sometimes referred to as the threshold wavelength. If no electrons are released, the light's wavelength must be below the threshold wavelength.

The wavelength at which the power level of the Higher Order Modes has decreased by 19.3 dB in comparison to the level of the Fundamental Mode is known as the Cut-off Wavelength (strictly speaking this is true only for the Second Order Mode).

The formula to calculate cutoff wavelength is λ = c/f

where λ is the wavelength of light

c = speed of light

f = frequency of light

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What are the 4 types of genetic disorders?

Answers

Chromosome abnormalities, Multifactorial genetic inheritance disorders, Single-gene inheritance diseases, and Mitochondrial genetic inheritance disorders are the four primary categories.

What genetic condition is most prevalent?

In the US, the most prevalent and lethal genetic disease is cystic fibrosis (CF). In the US, the illness affects about 30,000 people.

Describe a typical genetic condition.

inherited disorders. Sickle cell illness. Cystic fibrosis Fibrosis Cystic a liver condition. brain, spine, and nerves. genes moving from one chromosome to another due to deletions, which are missing sections of chromosomes (called a translocation) damage to chromosomes (changes in the number or structure of complete chromosomes, the structures that make up chromosomes) or an additional or missing chromosome caused by gene mutations and environmental factors.

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determine the velocity of point a on the rim of the gear at the instant shown.(figure 1)

Answers

The velocity component of x is (v a)x = 3.97 ft/s, the velocity component of y is (v a)y = 3.29 ft/s.

Referencing Fig. a's kinematic diagram of the gear and applying the relative velocity equation to locations B and C,

V b = V c + ω × r b/c

3 i = - 4 i + (-ω k) × 2.25 j

3 i = (2.25 ω - 4) i

Equating the i components yields,

3 = 2.25 ω - 4

ω = 3.11 rad/s

For points A and C,

V b = V c + ω × r b/c

(v a)x i + (v a)y j = -4i + (-3.11) k × (-1.061 i + 2.56 j)

(v a)x i + (v a)y j = 3.97 i + 3.29 j

Equating the i and j components yields on both sides,

(v a)x = 3.97 ft/s

(v a)y = 3.29 ft/s

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Which of the following planets or moons has an atmosphere consisting mainly of Hydrogen and Helium with some methane?

A) Venus
B) Saturn
C) Titan
D) Uranus

Answers

Saturn is the following planet or moon, and its atmosphere is primarily made of hydrogen with a small amount of methane.

The correct answer is B

What makes Saturn the best planet?

The planet Saturn is incredibly large and its rings make it incredibly gorgeous. Amazing moons as Titan reside there as well. The Solar System's Saturn is arguably the most popular and stunning planet. Compared to the rings of other planets, Saturn's are much larger and easier to see.

Where could we possibly live?

Then, only a year ago, researchers found a second Earth-like planet around Proxima Centauri, one of our nearest nearby stars. The best option we now have for maintaining human life is this planet.

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the speed of light with a wavelength 589 nm in light flint glass is 1.90x108 m/s. what is an index of refraction of the glass at this wavelength?

Answers

The index of refraction of the glass at a wavelength of 589 nm is approximately 1.58

To determine the index of refraction of the glass at a wavelength of 589 nm, we can use the formula:

n = c / v

where n is the index of refraction, c is the speed of light in a vacuum (which is approximately 3 x 10^8 m/s), and v is the speed of light in the glass.

Plugging in the values provided, we get:

n = 3 x 10^8 m/s / 1.90 x 10^8 m/s

  = 1.58

This means that the index of refraction of the glass at a wavelength of 589 nm is approximately 1.58. The index of refraction is a measure of how much the speed of light is reduced when it travels through the glass, so a higher index of refraction indicates that light travels more slowly through the glass.

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What is the speed of wavelength 3?

Answers

0.3 m/s is the speed of a wave with a wavelength of 3m and a frequency of 0.1 HZ.

What is a speed of a wave?

Wavelength and frequency are both correlated with wave speed. The distance between the respective points of two consecutive waves is known as the wavelength. The number of waves passing at a specific spot at any given time is known as the wave frequency. Consequently, the equation below illustrates how three components are connected.

Solution:

Wave speed = Wavelength x Wave frequency

given:

wavelength = 3 m

frequency = 0.1 Hz.

So, the wave speed is

Wave speed = 3 x 0.1 = 0.3m/s

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What principle is responsible for alternating light and dark bands when light passes through two or more narrow slits a refraction c diffraction B polarization D interference?

Answers

It is possible to see a distinctive pattern of brilliant and dark fringes when monochromatic light reaches a distant screen through two small apertures. By superimposing overlapping light waves coming from the two slits, this interference pattern is produced.

What principle causes bands of light and darkness to alternate as light passes through two or more objects?

On the lit screen, the intensity pattern that results is determined by the superposition principle. When an integral number of wavelengths (0,, 2,...) is equal to the difference in routes from the two slits to a spot on the screen, constructive interference occurs.

What fundamental premise underlies interference?

The concept of superposition, The most critical concept in interference is the superposition principle.

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How do you find wavelength with frequency and length of a string?

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The wavelength of a wave traveling along a string can be calculated using the following formula:

What is wavelength?

Wavelength is the distance between two consecutive points of the same phase on a wave. It is the distance traveled by a wave in one period (the time it takes for the wave to complete one cycle). The wavelength is usually denoted by the Greek letter lambda (λ).

wavelength = speed of wave / frequency

The speed of a wave traveling along a string is equal to the square root of the tension in the string divided by the mass per unit length of the string. If you know the tension in the string and the mass per unit length of the string, you can use the following formula to calculate the speed of the wave:

speed of wave = sqrt(tension / (mass per unit length))

Once you have the speed of the wave, you can use the formula above to calculate the wavelength.

Alternatively, if you know the length of the string and the frequency of the wave, you can use the following formula to calculate the wavelength:

wavelength = length of string / number of waves

In this case, the number of waves is equal to the frequency of the wave multiplied by the time it takes for one wave to pass a fixed point.

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Speed is distance over time, so v = λ / T. The frequency, f, is 1/T, so the equation relating wave speed, frequency, and wavelength is v = f λ . where µ = m / L is the string's mass per unit length.

What is wavelength?

Wavelength is the distance between two consecutive points of the same phase on a wave. It is the distance the wave travels in one period (the time it takes for the wave to complete one cycle). Wavelength is usually denoted by Greek letter lambda (λ).wavelength = wave speed / frequencyThe speed of a wave traveling along a string is equal to the square root of the tension in the string divided by the mass per unit length of the string.

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