drivers must slow down from 60 to 40 mph to negotiate a severe curve on a rural highway. a warning sign for the curve is clearly visible for a distance of 200’. how far in advance of the curve must the sign be located in order to ensure that vehicles have sufficient distance to safely decelerate? use the standard reaction time and deceleration rate recommended by aashto for basic braking maneuvers.

Answers

Answer 1

The sign needs to be placed 292.07 feet in advance of the curve in order to provide cars enough room to safely slow down.

Prior to putting up a sign board to slow down traffic, we first calculate the distance.

d is the safe stopping distance, Si is the initial speed (60 mph), t is the time reaction (2.5 seconds), Sf is the end speed (40 mph), and G is the grade (0).

Therefore, we replace d = (1.47 60 2.5) + [(602 - 402) / 30(0.348 0) = 220.5 + (2000/10.44) = 220.5 + 191.57 = 412.07 ft Now that we know that a warning sign is clearly visible at a distance of 120 ft, the ideal safe distance will be d = minimum distance - sign visible distance d = 412.07 ft.

d = 412.07 - 120

d = 292.07 ft

In order to ensure that vehicles have enough room to safely slow down, the sign must be placed 292.07 feet ahead of the bend.

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Related Questions

an object is in a circular motion. the radius of the circle is 2 meters and it takes 6.28 seconds to complete the circle. what is its centripetal acceleration?

Answers

The centripetal acceleration of the object will be 2 m/s^2.

An object moving in a circular motion has a centripetal force(F)

F = mv^2/R

Its centripetal acceleration is given by the following equation,

ma = mv^2/R

a = v^2/R

We know that in the case of circular motion, v = wr

Here, W is the angular frequency which is equal to 2pi/Time Period(T).

Hence its centripetal acceleration is

a = w^2(R)

Putting w = 2pi/T= 2pi/6.28 and R= 2 meters in the above equation

a = (2pi/6.28)(2)

a = 2 m/s^2.

Hence, the centripetal acceleration of the object will be 2 m/s^2.

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The centripetal acceleration of the object will be 2 m/s^2.

An object moving in a circular motion has a centripetal force(F)

F = mv^2/R

Its centripetal acceleration is given by the following equation,

ma = mv^2/R

a = v^2/R

We know that in the case of circular motion, v = wr

Here, W is the angular frequency which is equal to 2pi/Time Period(T).

Hence its centripetal acceleration is

a = w^2(R)

Putting w = 2pi/T= 2pi/6.28 and R= 2 meters in the above equation

a = (2pi/6.28)(2)

a = 2 m/s^2.

Hence, the centripetal acceleration of the object will be 2 m/s^2.

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liquid helium has a very low boiling point, 4.2 k, as well as a very low latent heat of vaporization, 2.00 104 j/kg. if energy is transferred to a container of liquid helium at the boiling point from an immersed electric heater at a rate of 30.0 w, how long does it take to boil away 2.40 kg of the liquid?

Answers

[tex]4.80 \times 10^3 \text { seconds }[/tex]  long does it take to boil away 2.40 kg of the liquid.

Boiling point of He is [tex]$T=4.2 \mathrm{k}$[/tex]

Latent heat of vapourization [tex]$L=2.00 \times 10^4 \mathrm{~J} / \mathrm{kg}$[/tex]

Power of electrical heater [tex]$P=30 \mathrm{w}$[/tex]

mass of liquid is [tex]$m=2.40 \mathrm{~kg}$[/tex]

amount of heat required to boil

[tex]$$\begin{aligned}&Q=m L \\&Q=2.40 \times 2 \times 10^4 \mathrm{~J} \\&Q=4.80 \times 10^4 \mathrm{~J}\end{aligned}$$[/tex]

Power [tex]$p=\frac{\text { work }}{\text { time }}=\frac{\text { Energy }}{\text { Time }}$[/tex]

[tex]$$\begin{aligned}P &=\frac{Q}{t} \\\text { tine } t &=\frac{Q}{P}=\frac{4.80 \times 10^4 \mathrm{~J}}{10} \\t &=4.80 \times 10^3 \text { seconds }\end{aligned}$$[/tex]

The heat or energy that is absorbed or released during a substance's phase shift is known as latent heat. It could go from a solid to a liquid or from a liquid to a gas, or vice versa. Enthalpy, a characteristic of heat, is connected to latent heat.

The heat that is used or lost as matter melts and transitions from a solid to a fluid form at a constant temperature is known as the latent heat of fusion.

Due to the fact that during softening the heat energy anticipated to transform the substance from solid to fluid at air pressure is the latent heat of fusion and that the temperature remains constant during the process, the "enthalpy" of fusion is a latent heat. The enthalpy change of any quantity of material during dissolution is known as the latent heat of fusion.

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What constant acceleration (in m/s2 ) will bring haley to this lower speed in the distance available?

Answers

The value of constant acceleration is 0.29m/s

Given that Haley is driving down a straight highway at 73 mph. A construction sign warns that the speed limit will drop to 55 mph in 0.50 mi.

we have to  find out constant acceleration (in ) that will bring Haley to this lower speed in the distance available

we know that,

1mile= 1.609km

1 km/h = 5/18m/s

Initial Speed of Haley(u)=  73mph=73×1.609×(5÷18) =32.63m/s

Final Speed of Haley(v)=  55 mph=55×1.609×(5÷18)=24.58m/s

The distance to be travelled  while lowering the speed(S)= 0.5mile=0.805km=805m

according to third equation of motion,v²-u²=2as

as speed is lowering down the acceleration will be in the opposite direction of motion, hence acceleration will be negative, equation will become u²-v²=2as

putting values,(32.63)²-(24.58)²=2a×805

a=(460.55÷1610)

a≅0.29m/s²

the constant acceleration  that will drop speed to  is 0.29m/s².

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When equal mass of hot water and oil at the same temperature are allowed to cool water cools slower than the oil why?​

Answers

It is because water has a higher heat capacity as compared to the heat capacity of oil.

The amount of heat that must be applied to an object in order to cause a unit change in temperature is known as the heat capacity or thermal capacity of that object. Heat capacity is measured in joules per kelvin (J/K), the SI unit.

Heat capacity is an example of extensive property. A physical quantity which is an extensive property has a value that is proportional to the size of the system it describes or the amount of matter present in the system. C stands for the heat capacity of an object.

Because water has a higher specific capacity than oil and must expend more energy to cool down, it does so more slowly when two equal masses of hot water and oil are allowed to cool.

Therefore, When the equal mass of hot water and oil at the same temperature is allowed to cool water cools slower than the oil.

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What is the energy of each of the two photons produced in proton antiproton annihilation?

Answers

The minimum energy is released, and hence the minimum frequency photons are produced, when the proton and antiproton are at rest once they annihilate.

Energy = 2.27 × 10²³Hz

That is, E=E₀ and K=0. To conserve momentum, each photon must have the identical magnitude of momentum, and p = E/C, so each photon must take away one-half the energy

[tex]E_{min} = \frac{E_{0} }{2}[/tex] = E₀ = 938.3MeV = [tex]hf_{min}[/tex]

[tex]f_{min} =\frac{(938.3MeV) (1.602 * 10^{-13} J/MeV}{6.626 *10^{-34}Js } = 2.27 * 10^{23} Hz[/tex]

How much energy is required to produce a proton-antiproton pair?

The process of creating a particle-antiparticle pair is called pair production. to supply this pair, you would like a boson with sufficient energy. The Mass-Energy of both a proton and an anti-proton is about 938 Mev/c². Translated into Joules, this mean you would like about 27 MJ to do so

How is annihilation energy calculated?

The amount of energy (E) produced by annihilation is equal to the mass (m) that disappears multiplied by the square of the speed of light in a vacuum (c)—i.e., E = mc²

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The density of water is 1.0g/cm*3. This is useful as it means we can measure the mass of water and easily work out its volume.

a. What is the mass of 1cm*3 of water?
b. What is the mass of 20cm*3 of water?
c. What is the volume of 10g of water?
d. What is the volume of 22.5g of water?

e. Milan is measuring the density of ethanol. He weighs a bottle three times: first, empty;
then filled with ethanol. Here are his results:
mass of empty bottle = 30.0g
mass of bottle filled with water = 90.0g
mass of bottle filled with ethanol = 78.0g
i. Calculate the volume of the bottle.
ii. Calculate the mass of the ethanol.
iii. Calculate the density of ethanol.

Answers

B , hope this helps!!!!!

___ electrification occurs any time two objects with different levels of charge make physical contact.

Answers

Contact electrification occurs any time two objects with different levels of charge make physical contact.

Contact electrification is a word that describes a phenomenon wherein surfaces end up electrically charged, thru a number of viable mechanisms, while  or greater objects come within near proximity of one another.

Static electricity is created while effective and bad costs aren't balanced. Protons and neutrons do not circulate around tons, however electrons love to jump all around the place. Whilst an item has greater electrons, it has a poor price.

Static electricity is an imbalance of electrical costs with in or at the surface of a material. The rate stays till it could pass away by an electric powered current or electric discharge.

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a metal ball hangs from the ceiling by an insulating thread. the ball is attracted to a positively charged rod held near the ball. the charge of the ball must be

Answers

A metal ball is hanging from the ceiling through an insulating thread. This ball is attracted to a positively charged rod that is held near the ball and thus the charge of the ball must be Negative or Neutral.

Study and theory applied

Whether any object is made up of conductive or nonconductive material, it affects how it behaves once it has been charged.

Electrons can move freely between particles when they are in conductors, which are substances. Charge can be transported across the whole surface of an object constructed of a conducting substance.

Charge is swiftly dispersed all across the full surface of the object if it is applied to it at a specific point. The motion of the electrons causes the distribution of charge.

A charged conductor can even transfer its charge to any another object if it comes into contact with that other object. When one object is constructed of a conducting substance, the charge can be transferred from one object to another more easily.

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What is the core ram clock speed for ram with a ddr2 speed rating of ddr2-800 and a pc speed rating of pc2-6400?

Answers

Answer:

400 MHz

Explanation:

voodoo$ knows all

Two identical containers at the same pressure contain the same gas. if container a contains half as much gas as container b, which container has the lower temperature?

Answers

Container A has a higher temperature than container B according to the ideal gas approximation.

What is an ideal gas?

Multiple randomly moving point particles with no interparticle interactions make create an ideal gas in theory. The ideal gas notion is useful because it complies with the ideal gas law, has a condensed equation of state, and can be studied using statistical mechanics.

An ideal gas is a fictitious gas that, because of its tiny size and lack of interactions, perfectly complies with the gas laws. Ideal gas is a gas that abides by all gas laws at all pressures and temperatures.

Ideal gases' internal energy and enthalpy are solely dependent on temperature; neither volume nor pressure play a role.

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a student is calculating the gravitational force between the earth and the sun. she knows that mass of the earth is 5.972 x 10245.972 x 1024 kg, the mass of the sun is 1.989 x 10301.989 x 1030 kg, and the distance between the earth and the sun is 1.496 x 10121.496 x 1012 meters. what piece of information is she missing to be able to find the gravitational force?

Answers

The gravitational force is 3.54 x 10²⁰ N

We need to know about gravitational force to solve this problem. The gravitational force is the force caused by two masses objects. The magnitude of gravitational force can be determined as

F = G.m1.m2 / R²

where F is the gravitational force, G is the gravitational constant (6.674 × 10¯¹¹ Nm²/kg²), m1 and m2 are the mass of the object and R is the radius.

From the question above, we know that

m1 = 5.972 x 10²⁴ kg

m2 = 1.989 x 10³⁰ kg

R = 1.496 x 10¹² m

By substituting the following parameters, we get

F = G.m1.m2 / R²

F = 6.674 × 10¯¹¹  . 5.972 x 10²⁴ . 1.989 x 10³⁰ / (1.496 x 10¹²)²

F = 3.54 x 10²⁰ N

Hence, the gravitational force is 3.54 x 10²⁰ N

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An electromagnetic wave with frequency f = 10 mhz is propagating in a material with parameters h = 3 h0, p = p0 (h0 = 8.85 x 10-12 f/m; p0 = 1.257 x 10-6 h/m), and v = 10-7 s/m. find:__________

Answers

When An electromagnetic wave with frequency f = 10 mhz is propagating in a material with parameters h = 3 h0, p = p0 (h0 = 8.85 x 10-12 f/m; p0 = 1.257 x 10-6 h/m), and v = 10-7 s/m. Then wavelength of electromagnetic wave is 410 nm.

What is electromagnetic wave?

When a magnetic field and an electric field interact, electromagnetic waves are created. An electromagnetic wave has an electric field and a magnetic field that are perpendicular to one another.

The parts of the electromagnetic spectrum are designated as follows, from highest to lowest energy: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. The radio wave region of the electromagnetic spectrum includes microwaves (such as those found in microwave ovens).

An electromagnetic wave first encounters the atoms of a physical substance, which absorb the radiation. Vibrations. The electrons inside of this atom begin vibrating as a result of the absorption of this electromagnetic energy.

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(a)
The skateboard moves backwards as the skateboarder jumps forwards. Explain,
using the idea of momentum, why the skateboard moves backwards.

Answers

The amount of momentum before and after a jump is equal. Prior to jumping, neither the skateboarder nor the skateboard had any momentum. Following a jump, the skateboarder gains forward momentum, thus the skateboard must also gain reverse momentum

In the hippie jump, a skateboarder travels at a specific speed Vh along a flat, horizontal surface. Then, without touching the board horizontally, he jumps straight up. He may now soar through the air at a speed equal to that of the board (also moving at Vh). As a result, he can land on top of the board because it is still right underneath him. this is how the momentum involved.

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A 0.1 g plastic bead is charged by the addition of 1*10^10 excess electrons. what electric field (strength and direction) will cause the bead to hang suspended in the air?

Answers

The electric field that cause the bead to hang suspended in the air is calculated as E = -612292.045 N/C

To find the electric field, the given values are:

Mass = 0.1g

Charged excess electrons = 1×10¹⁰

What is the Electric field?

The Electric field can be defined as the ratio of the electric force per unit charge.

So, the working equation for this is,

E = F/Q,

where E is the strength of electric field, F is the force and Q is the charge.

The force is equal to:

F = mg = (0.1/1000 kg)(9.81 m/s²) = 0.981 ×10⁻³ N

The charge of the excess electrons is equal to:

Q = (-1.6021766208×10⁻¹⁹ C/electron)(1×10¹⁰ electrons)

Q = -1.6021766208×10⁻⁹ C

E = 0.981 ×10⁻³ N/-1.6021766208×10⁻⁹ C

E = -612292.045 N/C

Thus, the electric field that cause the bead to hang suspended in the air is calculated as E = -612292.045 N/C

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A penny is pushed off a desk 2m high. How long does it take the penny to hit the floor?

Answers

Explanation:

why do you think is important to study about that different forms of precolonial literature?

which of the following astronomers introduced the most widely accepted hypothesis regarding the origin of the solar system?

Answers

The astronomers introduced the most widely accepted hypothesis regarding the origin of the solar system is Immanuel Kant in 1755.

Newton's equations of gravity and rotatory motion served as the foundation for most of Kant's theories. He believed that primaeval matter, which he believed to have been generated supernaturally, was dispersed throughout the cosmos. Small, chilly, hard particles made up this substance.

Due to the gravitational pull of one another, these particles were drawn to one another.

In his 1755  "The Universal Natural History and Views of the Heavens," Kant discusses astronomy as well as two significant cosmological theories. The first is his "Nebular Hypothesis" on the formation of stars and planets, in which he proposed that faint, thin clouds of dust and gas far out in space would collapse in on themselves under the influence of gravity, forcing them to spin to form a disc. The development of stars and planets from this rotating disc would account for the rotation of Earth and the other planets.

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Tech a says that electric power steering systems are much heavier than hydraulic pumps. tech b says that hydraulic pumps are more compact than electric pumps. who is correct?

Answers

Electric power steering system  are more compact than the hydraulic  pumps , both statement are wrong.

Since electro-hydraulic and electric power steering systems are lighter and more compact than conventional hydraulic power steering systems.The hydraulic power steering system is basically a closed loop system that uses pressurized hydraulic fluids for changing the wheel angle of the front wheels based on the steering angle. It consists of a hydraulic pump driven by  valves, belt, reservoir, cylinder, and a driver control mechanism, whereas Electric power steering is for highly automated  driving, it  has an electric motor that controls the vehicle  and provides enjoying  and  optimal steering feel, and electro-hydraulic power steering is  where an electric motor  drives the pump which  is controlled according to the needed assisting steering force, the delivery of the hydraulic pump is increase at very low  speed in order give a large amount of steering power.

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What is Inverse Distance Weighting?​

Answers

Answer: LOL Hello! for the third time! the answer is Inverse distance weighting (IDW) is a type of deterministic method for multivariate interpolation with a known scattered set of points. The assigned values to unknown points are calculated with a weighted average of the values available at the known points.

Explanation: ^^ Up there have a good day and hope this helps you!

Question: Hello: ) ✨What is Inverse Distance Weighting?​

Answer: a method of interpolation that estimates cell values by averaging the values of sample data points in the neighborhood of each processing cell. The closer a point is to the center of the cell being estimated, the more influence, or weight, it has in the averaging process.Inverse Distance Weighting (IDW) interpolation estimates unknown values with specifying search distance, closest points, power setting & barriers.”

Hope this helps<3

Which of the following is the source of wealth for a nation in a mercantilism system?
a. religion
B. population
c. natural resources
D. land​

Answers

Answer:

c. natural resources

Explanation:

mercantilism is an economic practice by which governments use their economies

so economies in this mean their natural resources

if am ryt

Answer:

C. natural resources

Explanation:

Mercantilism is based on the concept of a nation's power being directly related to its wealth. A nation's goal under mercantilism was to obtain as much gold and silver as possible and to export more goods than it imported from other nations. Gold and Silver are natural resources.

an automobile accelerates from 55.0 km/h to 85.0 km/h in 8.70 s. what is its acceleration in m/s2? recall 1 km

Answers

The acceleration can be found as 3.44× 10³  m/s².

To find the acceleration, the given values are,

Initial velocity = 55 km/hr

Final velocity = 85 km/hr

time t = 8.70 seconds.

What is acceleration?Acceleration is a rate of change of velocity with respect to time with respect to direction and speed.A point or an object moving in a straight line is accelerated if it speeds up or slows down.Acceleration formula can be written as,

                   a = (v - u ) / t m/s²

where, a - acceleration m/s²

v - Initial velocity km/hr

u - final velocity km/hr

t - time

Acceleration is a vector quantity.

Substituting the values in the acceleration formula,

 a = ( 85 × 10³ - 55 ×10³ ) / 8.70

    = 30 × 10³/ 8.70

    = 3.44 × 10³ m/s².

The acceleration of the automobile can be found as 3.44 × 10³  m/s².

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*need help ASAP *
Select the correct answer.
Read lines 44-45 from The Winter's Tale.
PAULINA: Tis time; descend; be stone no more; approach;
Strike all that look upon with marvel.
Which detail from "Pygmalion and Galatea" provided the source material for these lines from Shakespeare's play?

A.Pygmalion falling in love with his statue
B.Venus watching over the sleep of Adonis
C. Pygmalion adorning his statue with jewels
D. Venus giving life to Pygmalion's statue

Answers

Answer: D. Venus giving life to Pygmalion's statue

Explanation: Hi! I got it right on Edmentum. Hope this helps! <3

Help :))))))))))))))))))))))

Answers

Answer:

1) 00.5

2) 400

3) 0.0601

4) 10900

Explanation:

goggle it

A motorcycle, starting from rest, has an acceleration of +2.6 m/s². After the motorcycle has traveled a distance of 120 m, it slows down with an acceleration of -1.5 m/s² until its velocity is +12 m/s. a. Calculate the final velocity of the motorcycle after the first 120 m interval.

Answers

The velocity of the motorcycle after the first 120 m is 24.97 m/s and the total displacement of the motorcycle is 280 m.

The acceleration of the motorcycle starting from rest is 2.6 m/s².

The acceleration of the motorcycle after traveling a distance of 120 m id -1.5 m/s² and the velocity is 12 m/s.

The initial velocity of the motorcycle, u = 0 m/s

The acceleration of the motorcycle, a = 2.6 m/s²

Therefore, the final velocity of the motorcycle after d = 120m is:

v² - u² = 2as

v² = u² + 2as

v² = (0)² + 2 × 2.6 × 120

v² =  624

v = √624

v = 24.97 m/s

Now, the motorcycle slows down to -1.5 m/s² and a velocity of 12 m/s.

So, the initial velocity is u = √624 m/s and final velocity is v = - 12 m/s.

So,

v² - u² = 2as

( - 12)² - (√624)² = 2 × -1.5 × d

144 - 624 = - 3 × d

- 480 = - 3d

d = 480 / 3 = 160 m

Therefore, the total displacement of the motorcycle is 120 m + 160 m = 280 m.

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Protons that occupy identical electronic environments are called chemically equivalent, and they will produce only ____________ signal.

Answers

Chemically similar particles are those whose electrical surroundings are the same. If two protons can switch places by rotating or reflecting one another, they are chemically identical.

Protons that are chemically equivalent only generate one signal.

What are protons that are chemically equivalent?

All three Ha protons and all three Hb protons are chemically equal to one another, according to NMR nomenclature. However, the Ha protons and the Hb protons are not chemically similar.

The resonance frequency of the Ha protons differs from that of the Hb protons as a result.

Some examples to illustrate what equivalent and non-equivalent protons are.

A molecule with equivalent protons emits a single signal. The corresponding protons of ethane are four in ethylene, two in acetylene, and six in benzene.

A molecule, each of which results in an absorption and the absorptions are widely separated in the spectrum are called nonequivalent proton.

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What is the formula for calculating resistance?
Volts / ohms
Volts x ohms
Volts / Current
Current / volts

Answers

The formula for calculating resistance is Volts / Current (option C). Details about resistance can be found below.

What is resistance?

Resistance is a force that tends to oppose motion. It is measured in a unit called ohms (Ω).

The electrical resistance of a circuit component or device is the ratio of the voltage applied to the electric current which flows through it.

The resistance of an object can be calculated by dividing the voltage (V) by its current (I) as follows:

R = V/I

Therefore, the formula for calculating resistance is Volts / Current.

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Find the speed of the waves on an 800.0 mg violin string 21.1-cm long if the fundamental frequency is 922.0 hz.

Answers

By using the lowest resonant frequency, the wave speed is 389.084 m/s.

We need to know about the fundamental resonant frequency to solve this problem. When the string is vibrating at its lowest resonant frequency, it should follow the rule

λ = 2L

where λ is wavelength and L is length of string

From the question above, we know that

f = 922 Hz

L = 21.1 cm

By substituting to the following equation, we can calculate the wavelength

λ = 2L

λ = 2 . 21.1

λ = 42.2 cm

λ = 0.422 m

Find the speed of wave

v = λ . f

v = 0.422 . 922

v = 389.084 m/s

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increases our ability to produce greater quantities of physical activity such as maximal force over a short period (lifting a weight) or more moderate levels of force over longer periods (hiking long distances or running marathons), or to move our bodies through larger ranges of motions. group of answer choices training

Answers

Training increases our ability to produce greater quantities of physical activity such as maximal force over a short period more moderate levels of force over longer periods.

What is Training?

Performance in middle and long-distance running is governed by a number of significant aerobic and anaerobic factors.

In the literature, there has been a lot of discussion on how effective strength training (ST) is for distance runners.

However, no comprehensive assessment of the findings from these investigations of physical activity has been published so far.

Although there is very strong evidence that any kind of Strength training enhances RE, TT, and the sprint performance, this conclusion was not shared by all of the assessed research.

The differences in methodology that are emphasized may help to explain the inconsistencies in findings and should be taken into account in future research in this area.

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I need answers to these physics problems. (See picture). Also, i'm not sure if the one's I circled are correct

Answers

The length of the vector is proportional to the size of the force.

The wheelchair is not accelerating, so the forces on it are balanced.

In a free-body diagram of the wheelchair, force due to gravity points down,  normal force points up, force pushing the wheelchair points forward, friction resisting the motion points backward.

For the force diagram:

In picture 1: F gravity points down; F normal points upIn picture 2: F gravity points down; F tension points upIn picture 3: F gravity points down; F spring points up.

What are forces?

Forces are a push or pull agents that causes a change in the state of a body when they are applied to the body.

Unbalanced forces cause acceleration of a body.

In a free-body diagram, the mass (force) on an object is represented by a vector.

The length of the vector is proportional to the size of the force. Suppose you push a wheelchair forward at constant velocity. The wheelchair is not accelerating, so the forces on it are balanced. In a free-body diagram of the wheelchair, the vector for the force due to gravity points down, the vector for the normal force points up, the vector for your force pushing the wheelchair points forward, and the vector for the force of friction resisting the motion points backward.

Considering the picture visual representation of the forces between many interacting objects or the force diagram:

In picture 1: F gravity points down; F normal points up

In picture 2: F gravity points down; F tension points up

In picture 3: F gravity points down; F spring points up.

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3.9 determine the current i in the circuit of fig. 3.21 after first replacing the four sources with a single equivalent source.

Answers

The current I in the circuit after first replacing the four sources with a single equivalent source is calculated as 50mA. The circuit can be seen in the attached diagram.

Series combination

If we have to combine the voltage sources, they must be in series. In the question since it is given that same current flows through each, thus it means it is in series.

If we start from the bottom and proceed clockwise in the circuit, we have

-3-9-5+1 = -16V

The four voltage equivalent sources are to be replaced with a single 16V source.

so, then when KVL is mixed with the Ohm's law, we have

-16 + 100i +220i = 0

⇒ i = 16/320 = 50mA

The circuit described in the given question is also equivalent

For the diagram pertaining to the circuit, it is attached below.

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neither the operator nor anyone else should ever stand directly in front of the wheel of an abrasive power tool as it accelerates to full operating speed. why? a. because it could throw off remnants of debris from the last job, putting a fragment in someone’s eye b. because if it is not secured tightly enough to the spindle, it could roll off and right into the operator c. because there is always the chance that the wheel wasn’t sound and could disintegrate or explode d. none of the above

Answers

There is always a potential that an abrasive power tool's wheel wasn't sound and may burst or disintegrate, thus neither the operator nor anyone else should ever stand in front of the wheel as it accelerates to full operational speed. So, C is the best choice.

Before mounting, all abrasive wheels must undergo a thorough inspection and ring test to make sure there are no fractures or other flaws. The spindle's grinding wheels must easily fit on it without being pressed in.

The spindle nut should only be tightened enough to secure the wheel. The following are a few recommendations for using abrasive wheels: The spindle end, nut, and flange projection guards on abrasive wheel tools must be covered. Keep the wheel in the right alignment. Never use more force than the fastenings can handle.

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