if the test section is designed to have a velocity of 200 m/s, determine the mach number, temperature and pressure in the test section. is the pressure in the test section greater than or less than the surrounding atmospheric pressure?

Answers

Answer 1

The test section's pressure is lower than the ambient pressure.

What exactly does pressure mean?

In the physical sciences, pressure is defined as the perpendicular force per unit area or the stress at a particular location within a confined fluid.

Given,

Diameter of Test section, d₂ = 0.5m

Area, A₂ = π/4d₂² = π/4×0.5² = 0.19635m²

Now, At Inlet,

Po = 101325Pa

To = 288 k

s = 122 kg/m³

(a) Using Bernoulli Theorem, i'n Test Section,

Po = [tex]P_{t}[/tex] +1/2γ [tex]v_{t^{2} }[/tex]

101325 = [tex]P_{t}[/tex] + ½ (1.22) (200) ²

[tex]P_{t}[/tex] = 76925 Pa

[[tex]v_{t}[/tex] = 200m/s]

Now,

Static Temperature, [tex]T_{t}[/tex]

[tex]T_{0}[/tex] = [tex]T_{t}[/tex] +v²/2[tex]c_{p}[/tex]

288 = [tex]T_{t}[/tex] +200²/2×1005

[tex]T_{t}[/tex] = 268.09k.

Thus,

[tex]M_{t}[/tex] = [tex]v_{t}[/tex]/[tex]\sqrt{\nu RT_{t} }[/tex]

[tex]M_{t}[/tex] = 200/1.4×287×268

[tex]M_{t}[/tex]= 0.609

The test section's pressure is lower than the ambient pressure.

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Related Questions

if sarah applies a force of 17.0 n to the end of a 35 cm lever at an angle of 25 degrees, what will be the torque exerted on the lever?

Answers

The torque that will be exerted on the lever is 2.49 N-m.

The torque on the rod is given by,

T = F x a

Where,

T is the torque,

F is the applied force,

a is the perpendicular distance from the end of the rod.

T = F.s.sinA

The force that Sarah applied is 17 N and s is the distance from one end of the lever is 0.35 m,

The angle at which the force is applied is 25 degrees.

Putting the values,

T = 17 x 35 x sin(25)

T = 2.49 N-m

So, yes, there will be a torque of magnitude 2.49 N-m.

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way?
27. What is the average acceleration of the Blue Flame speed car if its initial velocity is 1000 km/h and it
comes to a complete stop in a distance of 2.0 km?

Answers

Answer:

Explanation:

Given:

V₀ = 1 000 km/h = 1  000 000 m / 3 600 s ≈ 280 m/s

V = 0 m/s - the Blue Flame car stopped

D = 2.0 km = 2 000 m  - distance

________________________________

a - ?

D = (V₀² - V²) / (2·a)

Acceleration:

a = (V₀² - V²) / (2·D)

a = (280² - 0²) / (2·2000) ≈ 20 m/s²

other than 120 and 240 volts, what is another common voltage used inside a building? i. 208 ii. 277 iii. 480

Answers

Other than 120 and 240 volts, what is another common voltage used inside a building is 208,277and 480volts.

What is the standard input voltage?

When the same signal is applied to the IN(+) and IN(-) terminals of an op-amp, it must operate satisfactorily within a range of input voltages known as the common-mode input voltage (CMVIN), which is described in the datasheet of the device. You may think of it as never applying common-mode signals to an op-amp.

The voltage shared by an electrical device's two input terminals is known as a common-mode signal. The common-mode signal on a transmission line in telecommunications is also referred to as longitudinal voltage. The signal is typically transmitted between two conductors using a differential voltage in electrical circuits.

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After energy conversions, you end up with the same total amount of energy as the original amount energy. Which law explains this rule?.

Answers

The law that explains after energy conversions, the total amount of energy has the same amount as the original amount of energy is the Law of conservation of energy.

The state law of conservation of energy is that energy cannot be created, the energy cannot be destroyed, and the energy can be converted from one form of energy to another form of energy. Examples like mechanical energy. Mechanical energy is the sum of potential energy and kinetic energy.

Potential energy is the kind of energy stored by an object because of its position.Kinetic energy is the kind of energy that is possessed by an object in motion.

If an apple fell from a branch of a tree

The potential energy on the branch is the maximum potential energy.When it fell, the potential energy reduces and changes into kinetic energy.When the apple almost reaches the ground, the potential energy gets smaller and the kinetic energy gets bigger.Before it hit the ground the potential energy is the minimum potential energy, but the kinetic energy reaches the maximum kinetic energy. At every point in its movement, the mechanical energy is always the same amount of energy.

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if someone asked you whether their house could be heated with solar heat, what characteristics would you look for?

Answers

Solar house would have linear east-west floor designs with huge south-facing windows & roof overhangs to protect against the intense summer sun.

South-facing glass & thermal mass are the two main components of passive solar heat since they both collect, store, and disperse heat. The methods for putting such aspects into practice vary. A solar collector, thermal absorber, and distribution system make up the real living area.

This collection includes sizable circular or linear seating components that come with adjustable backrests and corner backrests.

The ideal windows for daylighting are those facing south. They provide all-day illumination and are less affected by heat and glare than windows with an east or west orientation.

The eaves of the house or the rafters on your roof are two names for this overhang. When this overhang is done, the bottom is referred to as the soffit, meaning literally translates to "something attached beneath".

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if the intensity of a sound increases from 1 bel (10 db) to 3 bel (30 db), what is the increase in energy per square meter?

Answers

The increase in energy is 100times.

Does distance affect the loudness of a sound?

The square of the distance from the source of the sound wave determines the inverse proportionality of sound intensity. The strength of a sound wave reduces with increasing distance from the source because sound waves transmit their energy via a two-dimensional or three-dimensional medium.

A sound wave's amplitude determines its intensity, and its frequency corresponds to its rate of vibration.

Acoustic intensity, also referred to as sound intensity, is the amount of energy carried by sound waves per unit of area in a direction perpendicular to that area. The SI unit for intensity, which also includes sound intensity, is the watt per square meter (W/m²).

Mathematically, the sound intensity level can be expressed as,

β(dB) = 10log₁₀(I/I₀)

β₂-β₁ =  10log₁₀(I/I₀)

30-10 = 10log₁₀(I/I₀)

20 = 10log₁₀(I/I₀)

I/I₀ = 10²(or) 100times.

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Which two measurements are needed in order to calculate the speed of an object in motion?.

Answers

The two measurements, which are needed in order to calculate the speed of an object in motion, be: amount of distance travelled at a particular time interval and the time interval.

What is speed?

Speed is characterised as the rate at which an object's position changes in any direction.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. SI unit of speed be meter/second.

The equation provides the speed formula: s = d/t

Where,

the speed in m.s^-1 is s.

The distance in m is represented by d.

The time interval in s is t.

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an empty beaker is weighed and found to have a mass of 130g. a measuring cylinder contains 50cm3 of an unknown liquid. all the liquid is poured into the beaker which is again weighed and found to have a mass of 170 g. calculate the density of the liquid. pleasee with explanation)

Answers

Answer:

0.8 g/cm^3

Explanation:

mass of liquid = mass of beaker + liquid - mass of beaker

= 170g -130g = 40 g

density = mass/ volume

therefore:

density of volume = [tex]\frac{40g}{50cm^3} = 0.8 g/cm^3[/tex]

where need be for 3 significant figure or 2 decimal place, just add zeros at the back of the 8

these stick figures are each in a hurry to catch a flight. they are both walking at a speed of 1 m/s on a walkway that has a velocity of 0.5 m/s to the west. explain which stick figure is moving more quickly relative to the ground.

Answers

The stick figure that is walking at a velocity of 1 m / s to the west is moving quickly relative to the ground than the stick figure that is walking at a velocity of 1 m / s to the east.

Vsg = Vsw + Vwg

Vsg = Relative velocity of stick figure wrt ground

Vsw = Relative velocity of stick figure wrt walkway

Vwg = Relative velocity of walkway wrt ground

Let the stick figure that is walking to the west be A and the stick figure that is walking to the east be B.

For A,

Vsw = - 1 m / s

Vwg = - 0.5 m / s

Vsg = - 1 - 0.5

Vsg = - 1.5 m / s

For B,

Vsw = 1 m / s

Vwg = - 0.5 m / s

Vsg = 1 - 0.5

Vsg = 0.5 m / s

The negative symbol indicates direction. So Vsg for A > Vsg for B

Therefore, the stick figure that is walking at a velocity of 1 m / s to the west is moving quickly relative to the ground than the stick figure that is walking at a velocity of 1 m / s to the east.

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4. Predict whether a greater amount of energy will be
transferred as heat between 1 kg of water at 10 °C
and a freezer at -15 °C or between 1 kg of water at
60 °C and an oven at 65 °C.

Answers

The greater amount of energy is transferred during the first case and the difference in energies is: 84 × 10³ J

What is internal energy of a system?

Internal energy refers to all energy within a particular system, including the kinetic energy of molecules and the energy stored in chemical bonds between molecules. The interaction of heat, work, and internal energy involves the transfer and conversion of energy whenever a change is made to the system.

The amount of heat (Q) gained or lost from the sample can be calculated using the formula Q = mcΔT. where m is the mass, c is the specific heat, and ΔT is the temperature change.

For the first case:

Q = mcΔT

Q = mc(T₁ - T₂)

m = 1 kg or 1000 g

c =  4.2 J g⁻¹/°C

T₁ = 10 °C

T₂ = -15 °C

Q₁ = 1000 × 4.2 × (10 -(-15))

Q₁ = 105 × 10³ J

For the second case:

Q = mcΔT

Q = mc(T₂ - T₁)

m = 1 kg or 1000 g

c =  4.2 J g⁻¹/°C

T₁ = 60 °C

T₂ = 65 °C

Q₂ = 1000 × 4.2 × (65 - 60)

Q₂ = 21 × 10³ J

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The graph shows distance versus time for an object.



Which of the following correctly describes the object's motion?
The object is moving with increasing acceleration.

The object is moving with constant acceleration.

The object is moving with increasing velocity.

The object is moving with constant velocity.

Answers

The velocity of an object is the ratio of distance to the time. The graph shows, an increase in distance with the increase in time. This linearity make the velocity constant. Hence, the option D is correct.

What is velocity?

Velocity of a substance is the measure of distance travelled per unit time. Thus it is the ratio of distance to time.In physics, velocity is the rate of speed.

Velocity = distance/time.

Hence, as the time taken for the travel increases velocity will decreases. In the given graph at each point distance shows linear relation with the time and it obtains a straight line.

Therefore, the distance is increasing with increase in time means the velocity is not changing and it remains constant. Hence, option D is correct.

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10. a helium balloon is held by its string in a car with the windows rolled up. the car, initially at rest, accelerates forward. which direction does the balloon move? explain.

Answers

The helium-stuffed ball is surely transferring against the direction of what looks like gravity.

The equal thing that it does while you're not in an accelerating body. It does that for the equal motive: buoyancy because of being lighter than air. The air inside the vehicle has a higher density inside the back of the car than it does inside the front. this means that the net pressure on the balloon due to collisions with the air will be in the ahead path.

The balloon does the other to something your body could do. for that reason, if the car comes to rest the balloon moves toward the return. The secret is that the balloon is filled with helium (He) and you are made of stuff a great deal heavier than air.

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) a 45 kg box is pulled horizontally across the floor will a force directed horizontally to the left with a magnitude of 200.0n. (a) what is the acceleration of the box if the coefficient of kinetic friction is 0.10? (b) if the box starts from rest, how fast will it be moving at 3.0 s assuming the constant force is applied for the entire 3.0s?

Answers

The acceleration of the box is 3.4m/s² and if the box starts from rest at constant force for 3 seconds, then the speed of the box will be 10.2m/sec

The frictional force (f) = μN

where μ= coefficient of kinetic friction

N = Normal force = mg

The given value for μ = 0.10

∴ f = 0.10 × 45 × 10

f = 45 N

Hence F net = applied force - frictional force

F net = 200 - 45

F net = 155N

Thus, the acceleration of box (a) will be, F = ma

where m = mass of box =45kg

a = F /m

a = 155/45

a = 3.4 m/s²

a) Hence acceleration of the box pulled horizontally is 3.4m/s²

The speed of the box pulled, if initially the box was at rest and constant force is applied for 3 seconds,

v = u + at

v = 0 + 3.4 × 3

v = 10.2 m/s

b) Hence, the speed of the box at constant force is 10.2m/s

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What are some applications of the field of spectroscopy? Select 5 options.
O for identifying elements in a sample
O for determining the distance and velocity of galaxies
O for producing neon lights
O for determining types of chemical bonds
O for use in medical imaging devices
O for killing bacteria in foods

Answers

Answer:

for identifying elements in a sample

for determining the distance and velocity of galaxies

for producing neon lights

for determining types of chemical bonds

for use in medical imaging devices

Explanation:

I hope this helps. :)

a 39-kg crate rests on a horizontal floor, and a 68-kg person is standing on the crate. (a) determine the magnitude of the normal force that the floor exerts on the crate. n (b) determine the magnitude of the normal force that the crate exerts on the person.

Answers

The floor normally presses down on the carton with a force of 1049.67N.

The box normally applies 667.08 N of force to the person.

What do you mean by normal reaction force?

A perpendicular force that acts on two surfaces that are touching. It stands in for the pressure pressing the two surfaces together. With the size of the usual response force, the value of limiting friction grows. If the weight is the only vertical force acting on an object that is lying or moving on a horizontal surface, While acting in the opposite direction from the weight, the normal response force is of identical size. Raising the weight results in increased friction.

Given,

The crate's mass, mp=68kg, is maintained on a horizontal floor.

mc=39kg is the mass of the guy standing above the crate.

(a) determine the normal force the floor applies to the crate:

N =(mc+mp)g

N =(39kg+68kg)×9.81m/s²

N = 1049.67kg⋅m/s² [tex]\frac{1N}{1Kg.m/s^{2} }[/tex]

N = 1049.67N

∴ The floor normally presses down on the carton with a force of 1049.67N.

(b) determine the typical force the crate would apply to the person:

N = mp g

N = 68kg×9.81m/s²

N = 667.08m/s² [tex]\frac{1N}{1Kg.m/s^{2} }[/tex]

N = 667.08 N

∴ The box normally exerts 667.08 N of force on the person.

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At what time after the discharge begins is the charge on the capacitor reduced to half its initial value?.

Answers

The time it takes for the energy stored in the capacitor to be reduced to half its initial value is 0.00693 seconds.

What is meant by capacitor?

A capacitor is a device that stores electrical energy in an electric field by accumulating electric charges on two insulated surfaces. It is a two-terminal passive electronic component. Capacitance is the effect of a capacitor.

The time it takes for the energy stored in the capacitor to be reduced to half its initial value is calculated as follows.

Q=Q₀[tex]e^{-t/RC}[/tex]

the time constant, RC = 10 ms = 0.01 s

Q₀ is the initial charged stored

Q is the final charge of the capacitor

Q₀/2=Q₀[tex]e^{-t/RC}[/tex]

Q₀/2Q₀=[tex]e^{-t/RC}[/tex]

1/2=[tex]e^{-t/RC}[/tex]

㏑(1/2)=-t/RC

㏑(1/2)=-t/0.01

-0.693=-t/0.01

t=o.00693 s

Thus, the time at which the energy stored in the capacitor will reduce to half of its initial value is 0.00693 s.

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The complete question is:

"The capacitor in an RC circuit is discharged with a time constant of 10.0ms. At what time after the discharge begins is the charge on the capacitor reduced to half its initial value."

what is the wavelength range in an am radio band (with frequency range 563 khz1649 khz)? answer in units of m.

Answers

Amplitude modulated (AM radio) carrier frequencies lie in the frequency range 535 to 1605 kHz. Carrier frequencies from 540 to 1600 kHz are assigned in 10 kHz increments.

So for the maximum wavelength, the speed of light divided by the minimum frequency of FM, which is 88 megahertz, is 3.41 meters. The minimum wavelength is 10 to the power of 8 meters divided by 108 megahertz. Therefore, FM wavelengths are between 2.78 meters and 3.41 meters. Since they are electromagnetic waves, they travel at the speed of light and their wavelength is given by the relationship ν = c/λ. where c is the speed of light. The wavelength of a 1,000 kHz radio wave is (2.998 × 108 m/s)/(1.000 × 106/s) = 299.8 m.

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The relationship of kinetic energy is that when ____________ increases or ____________ increases, kinetic energy will increase also.

Answers

Answer: thermal energy, density

Explanation:

The relationship of kinetic energy is that when mass increases or velocity increases, kinetic energy will increase also.

Kinetic energy equals half of the product of mass and the square of the velocity. Kinetic energy is the energy that occurs when the body is in motion. The unit of kinetic energy is joule (J). The kinetic energy increases with an increase in mass and the square of velocity.

The kinetic energy also increases with an increase in the thermal energy of the particles. When the temperature increases, the average kinetic energy also increases and hence, the thermal energy of the molecules also increases. The kinetic energy increases with the decrease in density or volume of the object.

Hence, Kinetic energy increases with an increase in the mass of the object and the velocity of the object.

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What wavelength is the maximum absorbance observed in the spectrum displayed in figure 10. 11? report your answer using 3 significant figures.

Answers

The spectrum shown has a maximum absorption of 278.4 nm.

The absorbance between 400 and 650 nm is measured, often at intervals of 25 nm, to identify the wavelength of maximum absorption. To identify the wavelength of greatest absorption, the data can be analyzed or graphed.

The useful absorbance range for the majority of spectrometers and colorimeters is between 0.1 and 1. Values of absorbance more than or equal to 1.0 are excessive. Your solution is overly concentrated if the absorbance readings you are getting are 1.0 or higher.

Maximum Absorbance refers to an area with the highest absorbance level. We can infer from the graph that the absorbance is at its highest at wavelength 278.45 nm.

Therefore, maximal absorbance occurs at 278.4 nm wavelength.

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How much energy is needed to raise the temperature of 0, point, 20, k, g,0.20kg of cooking oil by 50, degrees if the specific heat capacity of this oil is 1800, j, slash, left bracket, k, g, degrees, c, right bracket,1800j/(kg

Answers

Answer:

See below

Explanation:

1800 j/(kg C)   =     x J  / (.20 kg * 50 C)

solve for x J = 180 000 J  

The amount of energy needed to raise the temperature of 0.20 kg of cooking oil by 50°C is 18000 J.

What is the amount of energy?

The amount of energy (Q) needed to raise the temperature of a substance can be calculated using the formula:

Q = mcΔT

where Q is the amount of energy, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.

In this case, the mass of the cooking oil is 0.20 kg, the specific heat capacity of the oil is 1800 J/(kg·°C), and the temperature needs to be raised by 50°C. Substituting these values into the formula, we get:

[tex]Q = (0.20 kg) x (1800 J/(kg·°C)) x (50°C)[/tex]

Q = 18000 J

Therefore, the amount of energy needed to raise the temperature of 0.20 kg of cooking oil by 50°C is 18000 J.

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Major activity injuries include
Bone breaks
Concussions
Joint Dislocations
All of the above

Answers

Explanation:

Major activity injuries include:

Bone breaksConcussionsJoint DislocationsAll of the above

Ansver:

All of the above

four resistors having a value of 100 ohms each are connected in parallel. what is the total resistance of the circuit?

Answers

The total resistance of the circuit is 25 ohms.

How can the resistance of a circuit with four resistors in parallel be determined?

In the same way, if three or more resistors of the same value are connected in parallel, the equivalent resistance will be equal to R/n, where R is the resistor's value and n is the total number of resistors in the arrangement.

How do you calculate a parallel resistor's total resistance?

The total current flowing from the source is the sum of the currents through each of the paths. Using the following formula, you can get the overall resistance in a parallel circuit: 1/Rt = 1/R1 + 1/R2 + 1/R3 +... Even if one of the parallel channels breaks, current will still flow.

[tex]R_{total}[/tex] = 100/4 = 25ohms

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a proton, traveling with a velocity of 4.1 106 m/s due east, experiences a magnetic force that has a maximum magnitude of 8.8 10-14 n and a direction of due south. what are the magnitude and direction of the magnetic field causing the force?

Answers

A particle travelling at a specific speed through a magnetic field experiences a force known as the magnetic force.

Magnetic Force:

A particle travelling at a specific speed through a magnetic field experiences a force known as the magnetic force. This relates to the cross-product of the magnetic field and velocity.

Answer and Explanation:

(a) The magnetic force is given by

F=qvBsinθ

q=1.60×10−19C  , the charge of a proton

v is the velocity

B  is the magnetic field

θ  is the angle between the velocity and the magnetic field. Since the magnetic force is at maximum, then the velocity and the magnetic field is perpendicular.

Solving for the magnetic field:

B=F/qvsinθ= 9.0×10−14N/ (1.6×10−19 C)(3.7×106 m/s)sin90∘=0.15 T

By the right-hand rule, the direction of the magnetic field is upward, perpendicular to the earth's surface.

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A particle travelling at a specific speed through a magnetic field experiences a force understood as the magnetic force.

What is Magnetic Force?

The magnetic force is a force that is felt by a particle moving in a magnetic field at a particular speed. This has to do with the magnetic field and velocity's cross-product.

(a) The magnetic force is given by

F=qvBsinθ

q=1.60×10−19C  , the charge of a proton

v is the velocity

B  is the magnetic field

The angle between the magnetic field and the velocity is called. The magnetic field and velocity are perpendicular because the magnetic force is at its greatest.

B=F/qvsinθ= 9.0×10−14N/ (1.6×10−19 C)(3.7×106 m/s)sin90∘=0.15 T

By the right-hand rule, the direction of the magnetic field is upward, perpendicular to the earth's surface.

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Can a spectrophotometer be used to measure the absorption of a particular wavelength of light that is not visible to the human eye?.

Answers

Yes, a spectrophotometer can be used to measure the absorption of a particular wavelength of light that is not visible to the human eye.

What is a spectrophotometer?

A spectrophotometer is an instrument used to measure the intensity of electromagnetic radiation at different wavelengths.

Spectrophotometry is a standard biological technique used to measure light absorption or the amount of chemicals in a solution. This technique uses a light beam which passes through the sample, and each compound in the solution absorbs or transmits light over a certain wavelength.

Spectrophotometry is the quantitative analysis of electromagnetic spectra by use of a spectrophotometer; especially in order to determine the structure or quantity of a substance.

Using the spectrophotometer, absorption of light can be measured, even if we cannot observe it unaided.

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How is it that a piece of wool can become positively charged in some situations and negatively charged in other situation?

Answers

The wool becomes positively charged because it gives up electrons to the rubber rod whereas wool is rubbed against a Nylon strip so the wool will steal electrons from the Nylon and form a negative charge.

What is the charge that occurs on wool?

When the woolen cloth is stroke against the plastic, both wood and plastic get electrified due to friction built while rubbing. So, plastic has greater electron affinity (ability to attract electrons) in a contrast to wool, therefore, plastic acquires a negative charge and wool obtains a positive charge. When you rub a balloon with a cloth made of wool, the balloon captures electrons from the wool, leaving the balloon with a negative charge and the wool with a positive charge. If both balloons are pat with wool, they will both have the same charge (negative) and therefore will repel each other.

So we can conclude that Wool is a conductive material, which means it readily gives away its electrons. accordingly, when you rub a balloon on wool.

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On a wet road, is a higher coefficient of friction on the tires safer or a lower one and pls explain I don’t get it

Answers

On a wet road, a higher coefficient of friction on the tires is safer as compared to a lower coefficient of friction.

What are friction and its coefficient?

Friction is defined as a force that resists the sliding or rolling of one object over another object. The coefficient of friction refers to a measure of the amount of friction present between two surfaces. When you calculate a coefficient of friction, you're calculating the resistance to motion at the interface of two surfaces of materials.

On dry surfaces, you have a high coefficient of friction of about 0.9, but driving on wet roads would be dangerous because the wet road coefficient is very low about 0.1.

So we can conclude that a higher coefficient of friction is recommended for a safe journey.

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A child whose weight is 350 N swings out
over a pool of water using a rope attached
to the branch of a tree at the edge of the
pool. The branch is 10.2 m above ground
level and the surface of the water is 1.79 m
below ground level. The child holds on to a
rope of length 7.2 m attached to the branch
and moves back until the angle between the
rope and the vertical is 12◦. When the rope is
in the vertical position, the child lets go and
drops into the pool. The acceleration due to gravity is 9.81 m/s^2

Find the speed of the child at the surface of
the water.
Answer in units of m/s.

Answers

The speed of this child from this surface would be 14.69 m / s

How to solve for the speed

We have the formula for energy conservation as:

E - potential = E - kinetic

We have the following details with which we are to solve the problem

weight of child w = 350 N

length of rope L = 7.2m

angle θ = 12 degrees

we would have the solution as

m x 9.8m/s² x (10.2 + 1.79 - 7.2 x cos 12) = 1/2 mv²

we would have to solve out the expression that we have above. Such that :

9.8m * (11.99 - 0.9781) = 1/2 mv²

107.9 m = 1/2 mv²

cancel out m

107.9 = 0.5v²

divide through by 0.5

107.9 / 0.5 = v²

215.8 = v²

v = √215.8

v = 14.69

Hence the speed of the child at the surface of the water would be given as 14.69 m / s

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a horizontal force is applied to a glider moving along a horizontal air track bringing it to a stop in t seconds. if the same force is applied to a second glider with half the mass and four times the initial velocity, how long does it take for the glider to come to a stop?

Answers

The second glider will stop after it travels the distance of 8 times the distance of the first glider.

Let subscript 1 and 2 represent parameters related to glider 1 and glider 2.

According to the Newton's law:

F = m . a

Where:

F = force

m = mass

a = acceleration

Since both gliders received the same forces,

F₁ = F₂

m₁ . a₁ = m₂ . a₂

m₁ . a₁ = 1/2m₁ . a₂

a₂ = 2a₁

Hence, the acceleration of the 2nd glider is twice of that of the 1st glider.

Velocity formula for decelerated move

v² = u² - 2.a.s

Where:

v = final velocity

u = initial velocity

s = distance.

Since the gliders stop, v = 0

Hence,

u₁² = 2.a₁.s₁

u₂² = 2.a₂ . s₂

Substitute u₂ = 4u₁,  a₂ = 2a₁

(4u₁)² = 2.(2a₁) . s₂

16 u₁² = 4 a₁ . s₂

16. (2.a₁.s₁) = 4 a₁ . s₂

s₂ = 8 s₁

Hence, the distance of glider 2 is 8 times the distance of glider 1

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In several sentences, describe one example of classical conditioning you have experienced or witnessed in everyday life (ex. training a pet, food dislikes due to illness, conditioned fears, etc.). Identify the unconditioned stimulus, unconditioned response, neutral/conditioned stimulus, and conditioned response in your example.

Answers

The dog that leans to associate the bell with salivation and food is a case of classical conditioning.

What is classical conditioning?

The idea of classical conditioning is that the individual is able to link up the unconditioned stimulus to the conditioned stimulus. This implies that the organism has been taught to link up a particular stimulus with another.

Let us at this point recall the famous experience in the experiment of Pavlov. In this case, we know that a dog would always salivate if the dog smells the approach of food coming towards it.

Imagine that we now have to ring a bell when we are bringing the food to the dog. So much so that the dog has been able to link up the bell with the fact that the food is approaching.

It comes to a point that the dog would now salivate just at the sound of the bell even when the food is not in sight.

Hence, in this case, the  unconditioned stimulus is the salivation while the conditioned stimulus is the bell that causes the salivation.

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The pilot of a plane measures an air velocity of 45.8 m/s south relative to the plane. An observer on the ground sees the plane pass overhead at a velocity of 40.3 m/s toward the north. What is the velocity of the wind that is affecting the plane relative to the observer?
a) 5.6 m/s to the north
b) 5.6 m/s to the south
c) 45.8 m/s to the north
d) 86.1 m/s to the south

Answers

The velocity of the wind that is affecting the plane relative to the observer is 5.5 m/s north.

Option A is the correct answer.

What is the velocity of the wind relative to the observer?

The velocity of the wind relative to the observer is the velocity of the wind measured from the observer as a frame of reference.

The relative velocity of the plane from the observer as the frame of reference is calculated as follows;

Vr² = Vp² + Vw²

where;

Vr is the relative velocity of the planeVp is the plane's velocity Vw is the velocity of the wind

The given parameters;

velocity of the plane, Vp = 45.8 m/svelocity of the wind, Vw = 40.3 m/s

Vr² = Vp² + Vw²

Vr = √(Vp² + Vw²)

Vr = √(45.8² + 40.3²)

Vr = 61 m/s

The velocity of the wind that is affecting the plane relative to the observer is calculated as follows;

Vo = 45.8 m/s north - 40.3 m/s south = 5.5 m/s north

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