Which statement describes an unanticipated impact of a technological advance?
• A. Artificial neural networks have been developed to allow doctors to diagnose patients more quickly and accurately.
• B. The nonnative plant kudzu was brought to the United States in order to curb erosion, but it destroys native plants.
• C. Continued research and development has produced white LED lights that have gradually replaced traditional fluorescent and incandescent bulbs.
• D. The development of antibiotics allowed people to be treated for bacterial infections, but their overuse has led to strains of bacteria that cannot be killed by available antibiotics.

Answers

Answer 1

The statement that describes an unanticipated impact of a technological is that the development of antibiotics allowed people to be treated for bacterial infections, but their overuse has led to strains of bacteria that cannot be killed by available antibiotics.

What are antibiotics?

An antibiotic is a type of antimicrobial substance active against bacteria which is the most important type of antibacterial agent for fighting bacterial infections, and antibiotic medications are widely used in the treatment and prevention of such infections.

Antibiotics are not effective against viral infections and this includes the common cold, flu, most coughs and sore throats.

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Related Questions

This technique allowed multiple peoples DNA to be compared to look for
similarities and differences in order to solve crime
DNA Examination
DNA Elimination
ODNA Sequencing
ODNA Fingerprinting
*2

Answers

DNA sequencing is the technique which allows multiple peoples DNA to be compared to look for similarities and differences in order to solve crime and is denoted as option C.

What is DNA?

This is referred to as the deoxyribonucleic acid and contains the genetic components of organisms and is also located in the nucleus. On the other hand, DNA sequencing refers to the process of determining the nucleic acid sequence.

Each organisms has a unique DNA sequence which is why it is used to identify individuals through the use of bodily fluids such as saliva, blood etc.

It is used to compare the similarities and differences in order to solve crime thereby making it the most appropriate choice.

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For a projectile launched horizontally at 650 m/s and travels for 5.75 seconds, What is the range?

Answers

The range of horizontal projectile motion is 3737.5 m.

A projectile's horizontal velocity is constant (a never changing value), Gravity causes a downward vertical acceleration with a magnitude of 9.8 m/s/s. A projectile's vertical velocity fluctuates by 9.8 m/s per second, A projectile's vertical motion is unrelated to its horizontal motion.  we know that sinθ is maximum at 90°. Therefore horizontal range will maximum at 45°.

To calculate the range of horizontal projectile motion we use;

Δx = vₓ t

where , Δx = Range

             vₓ  = Velocity

              t   = Time

Initial horizontal velocity, vₓ = 650 m/s

Time = 5.75 sec

                Δx = 650 × 5.75

                     = 3737.5 m

Therefore, the range of horizontal projectile motion is 3737.5 m.

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b. Calculate the total resistance of the circuit below. (4 points)

c. In the circuit diagram above, the meters are labeled 1 and 2. Write 2 - 3 sentences identifying each type of meter and how it is connected with the 12 Ω resistor. (4 points)

d. In the circuit diagram above, predict which resistors (if any) will stop working when the switch is opened. Write 2 - 3 sentences explaining your reasoning. (4 points)
Please answer in complete sentences. Will mark brainliest.

Answers

The total resistance in the circuit, R is 4 Ω .

The meters connected to the 12 Ω resistance are:

Voltmeter - connected in parallelAmmeter - connected in series

If the switch is opened, only the 4 Ω and 2 Ω resistances will stop working.

What is the equivalent or total resistance in the circuit?

The resistances in the circuit are connected both in series and in parallel

The resistances in series are the 4 Ω and the 2 Ω resistances.

Equivalent resistance = 4 + 2 = 6 Ω

The 4 Ω and the 2 Ω resistances are then connected in parallel with the 12 Ω resistance.

Total resistance, R is calculated as follows:

1/R = 1/12 + 1/6

1/R = 3/12

R = 12/3

R = 4Ω

The meters connected to the 12 Ω resistance are:

Voltmeter - connected in parallelAmmeter - connected in series

If the switch is opened, only the 4 Ω and 2 Ω resistances will stop working because the circuit connecting them to the cell is broken whereas the circuit to the 12 Ω resistance is continuous.

In conclusion, resistances can be connected in parallel or in series.

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Define a dipole. Hence, write the expression for calculating the electric moment of a dipole​

Answers

Answer:

Explanation:

An electric dipole is formed by two point charges +q and −q connected by a vector a. The electric dipole moment is defined as p = qa

deriving projectile motion formulas

Answers

Answer:

Projectile motion formula or equations derived (In Tabular format)Motion Path equation:


y = (tanθ) x – (1/2) g . x2/(V0 cosθ)2

Explanation:

A man exerts a horizontal force of 123 N on a crate with a mass of 40.2 kg.

(A) If the crate doesn't move, what's the magnitude of the static friction force (in N)?
______N

(B) What is the minimum possible value of the coefficient of static friction between the crate and the floor? (Assume the crate remains stationary.)?

Answers

The magnitude of the static friction force = 123 N

The coefficient of static friction = 0.31

What is static friction?

Static friction is the frictional force that must be overcome in other for a body to that moving over another.

Since the crate does not move, the magnitude of the static frictional force is equal to the applied force.

The magnitude of the static frictional force = 123 N

The coefficient of static friction = frictional force/normal reaction

The coefficient of static friction = 123/(40* 9.8)

The coefficient of static friction = 0.31

In conclusion, the static frictional force on the on the crate is equal to the applied force on the crate.

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If the magnetic flux through a loop increases according to the relation; where , is in milliweber (mWb) and t is in seconds. Calculate the magnitude of e.m.f induced in the loop when t = 2s​

Answers

The magnitude of e.m.f induced in the loop when t = 2 s is 31 Volts.

emf induced in the loop

The magnitude of e.m.f induced in the loop is calculated as follows;

emf = dФ/dt

Ф = 6t² + 7t

dФ/dt = 12t + 7

at t = 2 seconds

emf = dФ/dt = 12(2) + 7 = 31 V

Thus,  the magnitude of e.m.f induced in the loop when t = 2 s is 31 Volts.

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Please show work if possible! Thank you!!
A 2.0 x 103 kg roller coaster travels around a vertical 24-m radius loop. If the coaster has a tangential speed of 18 m/s at the lowest point of the loop, what is the normal force that is exerted on the coaster by the track at this point?
a. 5.3 x 10^4 N
b. 4.7 x 10^4 N
c. 3.0 x 10^4 N
d. 2.7 x 10^4 N

Answers

B. The normal force that is exerted on the coaster by the track at the lowest point is 4.7 x 10⁴ N.

Normal force exerted on the coaster at the lowest point

Fₙ = mg + mv²/r

where;

m is mass of the coasterv is speed of the coasterr is radius of the path

Fₙ = (2,000 x 9.8) + (2,000 x 18²)/24

Fₙ = 46,600 N

Fₙ =  4.7 x 10⁴ N

Thus, the normal force that is exerted on the coaster by the track at the lowest point is 4.7 x 10⁴ N.

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8. The pulley is assumed massless and frictionless and rotates freely about its axle. The blocks have masses m = 40 g and m₂ = 20 g, and block mi is pulled to the right by a horizontal force of magnitude F = 0.03 N. Find the magnitude of the acceleration of block m2 and the tension in the cord if the surface is frictionless. (2pt) m₂ a₂ T₂ T₂ T₁ m₁​

Answers

The magnitude of the acceleration of block m2  is 0.09 m/s² and the tension in the cord is 1.8 x 10⁻³ N.

Acceleration of the blocks

The acceleration of the blocks is calculated from the net force on the blocks.

∑F = ma

a = ∑F/m

a = (F) / (m₁ + m₂)

where;

F is the horizontal force appliedm₁ is mass of first block = 40 g = 0.04 kgm₂ is mass of the second block = 20 g = 0.02 kg

a = (0.03)/(0.04 + 0.02)

a = 0.09 m/s²

Tension due to block m₂

T = m₂a

T = (0.02 x 0.09) = 1.8 x 10⁻³ N

Thus, the magnitude of the acceleration of block m2  is 0.09 m/s² and the tension in the cord is 1.8 x 10⁻³ N.

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When this surgical procedure is used to reduce the risk of stroke it will correct stenosis in the artery the most common cause of this condition is the buildup of plaque that forms in the artery name this procedure

Answers

Endarterectomy is used to reduce the risk of stroke and correct the stenosis in the artery.

What is carotid artery stenosis?

The primary blood vessels that supply the brain with blood and oxygen are the carotid arteries.

The narrowing of these arteries is referred to as carotid artery disease. Carotid artery stenosis is another name for it. The main factor causing constriction is atherosclerosis.

This fat deposit reduces the blood flow to the brain which cause a stroke.

Carotid endarterectomy is a surgical treatment to remove plaque, an accumulation of fatty deposits that causes a carotid artery to become narrowed.

Hence, an Endarterectomy is used to reduce the risk of stroke, it will correct stenosis in the artery.

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Which of the following is an example of an offensive action?

Answers

An example of an offensive action is B. kicking a ball into the goal

Something that is offensive upsets or embarrasses people because it is rude or insulting.

What is a example of an offensive action?

Offensive is an arranged campaign or plan of action, normally created by the military or planned to achieve some specific political aim or goal. A military plan to strike is an example of a military offensive. A plan to fight the war on medications is an instance of an offensive.

What are the types of offensive operations?

The four types of offensive operations are move to contact, attack, exploitation, and pursuit.

Leaders direct these offensive operations sequentially and in combination to generate highest combat power and destroy the enemy.

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Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 4930 km .

Answers

The speed of the satellite moving in a stable circular orbit about the Earth is 5,916.36 m/s.

Speed of the satellite

v = √GM/r

where;

M is mass of EarthG is universal gravitation constantr is distance from center of Earth = Radius of earth + 4930 km

v = √[(6.626 x 10⁻¹¹ x 5.97 x 10²⁴) / ((6371 + 4930) x 10³)]

v = 5,916.36 m/s

Thus, the speed of the satellite moving in a stable circular orbit about the Earth is 5,916.36 m/s.

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Three strings, attached to the sides of a rectangular frame, are tied together by a knot as shown in the figure. The magnitude of the tension in the string labeled C is 56.3 N.
Calculate the magnitude of the tension in the string marked A.

Answers

The magnitude of the tension in the string marked A and B is mathematically given as

A = 52.5 N

What is the magnitude of the tension in the string marked A?

Generally, the equation for is mathematically given as

tan=3/8

negative x

[tex]B= tan\phi \\tan \phi=5/4[/tex]

negative x

C= tan=1/6

Hence, considering the Horizontal components

74.9cos(9.46) = A*cos(20.6) + B*cos(51.3)

A = 78.9 - 0.668B

Vertical components

74.9*sin(9.46) + Asin(20.6) = Bsin(51.3)

40.07 = 1.015B

B = 39.5 N

In conclusion, Sub the value of B is the equation of A

A = 78.9 - 0.668B

Sub

A = 78.9 - 0.668( 39.5 N)

A = 52.5 N

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The motor of a weed trimmer spins
at 9,000 rpm. The amount of time
required for the motor to reach this
speed would NOT be affected by...
A. the distribution of
trimmer line inside the
spool
B. the mass of the spool
containing the trimmer
line
C. the direction in which
the torque is applied

Answers

The speed of the trimmer is not affected by the the distribution of trimmer line inside the spool. Option A

What is a weed trimmer?

The weed trimmer is a device that is used to trim the grasses on a lawn or a field. This device has a rotating shaft that does the actual trimming of the grasses.

The speed of the trimmer is not affected by the the distribution of trimmer line inside the spool thus it does not affect the amount of time required to reach 9,000 rpm speed.

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Compare and contrast visible light, infrared light, and ultraviolet light.

Answers

Answer:

NE BİLİM

Explanation:

PUAN İÇİN YAZIYORUM SEN BENİ GÖRMEZDEN GEL ANLDIN MI DOSTUM bu arada Suriye >>>>>

A long uniform board weighs 52.8 N (10.6 lbs) rests on a support at its mid point. Two children weighing 206.0 N (41.2 lbs) and 272.0 N (54.4 lbs) stand on the board so that the board is balanced.
What is the upward force exerted on the board by the support?

Answers

The upward force exerted on the board by the support is 530.8 N.

Upward force exerted on the board by the support

The upward force exerted on the board by the support is calculated as follows;

F(up) = 52.8 N  +  206.0 N  +  272.0 N

F(up) = 530.8 N

Thus, the upward force exerted on the board by the support is 530.8 N.

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A 80-kg base runner begins his slide into second base when he is moving at a speed of 3.0 m/s. The coefficient of friction between his clothes and Earth is 0.70. He slides so that his speed is zero just as he reaches the base.

(a) How much mechanical energy is lost due to friction acting on the runner?
______J

(b) How far does he slide?
________m

Answers

The mechanical energy lost due to friction is 360 J.

The distance the runner slides is, s = 0.655 m

What is the mechanical energy of the runner?

The mechanical energy lost due to friction acting on the runner is equal to the change in kinetic energy.

Change in Kinetic energy = 1/2m(v -u)²

Change in Kinetic energy = 80 * (0 - 3.0)²/2

Change in Kinetic energy = 360 J

Mechanical energy lost = 360 J

Distance he slide is determined using the formula below as follows:

Acceleration of runner = coefficient of friction * acceleration due to gravity

acceleration, a = 0.7 * 9.8 = 6.86

v² = u² - 2as

s = v² + u²/2a

s = 0 + 3³/2 * 6.86

s = 0.655 m

In conclusion, the mechanical energy lost due to friction is the loss in kinetic energy.

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a. A light wave moves through glass (n = 1.5) at an angle of 15°. What angle will it have when it moves from the glass into water (n = 1.33)? (4 points)


b. Draw a ray diagram to locate the image of the arrow, as refracted through the lens shown. Write 2 - 3 sentences describing the type of image and its size relative to the object. What type of mirror could be used to form an image of the same type and size? (8 points)




c. An object is located 65 cm from a concave mirror with a focal length of 45 cm. What is the image distance? Is the image real or virtual? (6 points)

Answer in detail with the correct units and steps to solve. Will mark brainliest.

Answers

A wave is a phenomenon that does not cause a permanent displacement in the particles of the medium through which it passes. And it transfers energy from one end of the medium to the other. Examples of waves include light waves, sound waves, water waves, x-rays, radiowaves, etc. Thus the required answers for each part of the question are:

a. The angle that the light wave would have is [tex]7.5^{o}[/tex].

b. The type of mirror that can be used is a plane mirror.

c. The image distance is 146.3 cm.

ii. The image formed by the mirror is a real image.

a. When a ray of light passes from one medium to another, then refraction occurs. The refraction depends on the refractive index of the medium considered.

Thus from Snell's law, we have:

refractive index, n, = [tex]\frac{Sin i}{Sin r}[/tex]

where: i is the angle of incidence, and r is the refracted angle.

Now given that n = 1.5, and i = 15.

Then;

n = [tex]\frac{Sin i}{Sin r}[/tex]

1.5 = [tex]\frac{Sin 15}{Sin r}[/tex]

Sin r = [tex]\frac{0.2588}{1.5}[/tex]

        = 0.17253

r = [tex]Sin^{-1}[/tex] 0.17253

  = 9.936

r ≅ [tex]10^{o}[/tex]

Since the light wave now moves from the glass into water, the determined refracted angle now becomes its angle of incidence in water. So that;

n = [tex]\frac{Sin i}{Sin r}[/tex]

1.33 = [tex]\frac{Sin 10}{Sin r}[/tex]

Sin r = [tex]\frac{0.17365}{1.33}[/tex]

       = 0.1306

r = [tex]Sin^{-1}[/tex] 0.1306

 = 7.504

r = [tex]7.5^{o}[/tex]

Therefore, the angle that the light wave would have is [tex]7.5^{o}[/tex].

b. The image formed would be the same size as that of the object. And also the same distance as that of the object to the pole of the lens.

The type of mirror that can be used is a plane mirror.

The ray diagram is attached to this answer.

c. From the mirror formula;

[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{u}[/tex] + [tex]\frac{1}{v}[/tex]

where; f is the focal length of the mirror, u is the object's distance to the mirror, and v is the image's distance to the mirror.

Given; u = 65 cm, and f = 45 cm, then:

[tex]\frac{1}{45}[/tex] = [tex]\frac{1}{65}[/tex] + [tex]\frac{1}{v}[/tex]

[tex]\frac{1}{v}[/tex] = [tex]\frac{1}{45}[/tex] -  [tex]\frac{1}{65}[/tex]

[tex]\frac{1}{v}[/tex] = [tex]\frac{20}{2925}[/tex]

v = [tex]\frac{2925}{20}[/tex]

v  = 146.25 cm

The image distance is 146.3 cm.

ii. The image formed by the mirror is a real image.

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Derive the following equations of motion
1. v = at
2. s = ut + at²
3. v² = u² + 2as​

Answers

according to definition of acceleration

a=v-u/t

t=v-u/a(equation 1)

according to the formula of average velocity

v+u/2*s/t

s=v+u/2*t(equation 2)

now putting the value of t in equation 2

s=v+u/2*v-u/a

s=v^2-u^2/2a

v^2=u^2+2as

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a quantity of gas is contained in a sealed container of fixed volume the temperature of the gas is increased

Answers

The average kinetic energy of the gas's molecules directly relates to its temperature. Faster moving particles will more frequently and violently hit the container walls. Because of this, the force acting on the container's walls increases, increasing the pressure.

What happens when the temperature of a gas is increased?

We know that temperature is proportional to the average kinetic energy of a sample of gas. The proportionality constant is (2/3)R and R is the gas constant with a value of 0.08206 L atm K-1 mol-1 or 8.3145 J K-1 mol-1.The average kinetic energy and the velocity of the gas particles striking the container walls rise as the temperature rises. As the temperature rises, the pressure must as well since pressure is the force the particles per unit of area exert on the container.The molecules in a gas gain more energy and can move more quickly as it is heated. The pressure will rise, and there will be greater impacts on the container walls. On the other hand, cooling the molecules will cause them to slow down and lower the pressure.

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When the volume of gas increased the KE of gases particles increases and hit the walls of container which increases the pressure on the walls .

What if gas will increase?

The gas expands in a closed container . The molecules strike and hit each other therefore the pressure at the walls increase.

According to ideal gas law , when volume is cnstant the Pressure and temperature both will increase.

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please need answers ASAP. ​

Answers

Answer:

overloading can be avoided if two many appliances are not connected to a single socket short circuiting is a name given to a situation in which they live and the natural voice accidentally coming contact

What is the formula that relates current and voltage?
A. V = I/R
B. V = R/I
C. V = IR
D. V = I^2/R

Answers

"V = IR" is the equation that relates current to voltage.

Relationship between current and voltage:

Georg Simon Ohm, a German scientist, and mathematician carried out an experiment in 1827 using multiple circuits with variable wire lengths. He took measurements of both the voltage across the electrical component and the current flowing through the circuit.Ohm's law outlines the connection between voltage, current, and resistance. According to the equation,

                                           V = IR or,

                                           I = V/R,

        the amount of current (I) flowing through a circuit is inversely    

        related to the amount of resistance (r) and directly proportional to  

        the voltage (v).

Therefore the correct answer is option C i.e., "V = IR".

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Forces always act in ________. A. Solitude B. Pairs C. Unpredictable ways D. Interesting ways

Answers

B. Pairs

“Forces always come in pairs — equal and opposite action-reaction force pairs.”

9.80 1. The density of mercury is 13600 kg/m³. What is this value in g/cm³? 2. Find the mass of water which will fit in a large tank measuring 2 m x 1 m x 20 cm. Density of water is 1000 kg/m³ or 1.0 g/cm³. 3. Find the volume of a lump of softwood whose mass is 120 g. Density of softwood is 0.6 gcm-3 or 600 kgm-³. -3​

Answers

Answer:

1. 13..6 grams per centimeters cubed.

2. Mass = 400kg

3. Volume = 200cm = 2m

Explanation:

1. The conversion for kg/m^3 to g/cm^3 is divide by 1000.

2. [tex]density=\frac{mass}{volume}[/tex]

[tex]1000=\frac{mass}{2 * 1 * 0.2}[/tex]

[tex]1000*0.4=mass[/tex]

[tex]400kg = mass[/tex]

3. [tex]density=\frac{mass}{volume}[/tex]

[tex]0.6=\frac{120}{volume}[/tex]

[tex]volume=\frac{120}{0.6}[/tex]

[tex]volume= 200cm[/tex]

A man pushing a crate of mass
m = 92.0 kg
at a speed of
v = 0.880 m/s
encounters a rough horizontal surface of length
ℓ = 0.65 m
as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.359 and he exerts a constant horizontal force of 299 N on the crate.

(a) Find the magnitude and direction of the net force on the crate while it is on the rough surface.
magnitude _______N

Direction?:
1. Same as the motion of the crate
2. opposite as the motion of the crate

(b) Find the net work done on the crate while it is on the rough surface.
___________J

(c) Find the speed of the crate when it reaches the end of the rough surface.
_________m/s

Answers

(a) The magnitude and direction of the net force on the crate while it is on the rough surface is 24.67 N, opposite as the motion of the crate.

(b) The net work done on the crate while it is on the rough surface is -16.04 J.

(c) The speed of the crate when it reaches the end of the rough surface is 0.65 m/s.

Magnitude of net force on the crate

F(net) = F - μFf

F(net) = 299 - 0.351(92 x 9.8)

F(net) = -24.67 N

Net work done on the crate

W = F(net) x L

W = -24.67 x 0.65

W = - 16.04 J

Acceleration of the crate

a = F(net)/m

a = -24.67/92

a = - 0.268 m/s²

Speed of the crate

v² = u² + 2as

v² = 0.88² + 2(-0.268)(0.65)

v² = 0.426

v = √0.426

v = 0.65 m/s

Thus, the magnitude and direction of the net force on the crate while it is on the rough surface is 24.67 N, opposite as the motion of the crate.

The net work done on the crate while it is on the rough surface is -16.04 J.

The speed of the crate when it reaches the end of the rough surface is 0.65 m/s.

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A 1500 kg aircraft going 35 m/s collides with a 2000 kg aircraft that is parked and they stick together after the collision and are going 15 m/s after the collision. If they skid for 112.1 m before stopping, how long (in seconds) did they skid? Hint: Are the aircraft moving at a constant velocity after the collision or do they experience an acceleration?

Answers

The two aircrafts are skidded for 14.9 s.

To find the answer, we need to know about the Newton's equation of motion.

What is the Newton's equation that relates velocity, distance, acceleration and time?

As per Newton's equation of motion

V²-U²= 2aSV= U+atV= final velocity, U = initial velocity, S = distance, a= acceleration, t= time

What's the acceleration of the aircrafts that skidded from 35 m/s after the collision for 112.1 m before achieving 15 m/s?Here, U = 35 m/s, V = 15m/s, S= 112.1 mSo, 15²- 35²= 2a×112.1= 224.2a

=> a= -1000/224.2= -4.5 m/s²

What's the time taken to stop if these aircrafts are de-accelerated by 4.5 m/s² from 35m/s?Here, U = 35 m/s, V=15 m/s a= -4.5 m/s²35= 15+(-4.5)t

=> t= 20/4.5 = 4.4 s

Thus, we can conclude that the two aircrafts are skidded for 4.4 s.

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200 g of water is heated and its temperature goes from 280 K to 300 K. What was the change in temperature for this process?
A. 280 K
B. 20 F
C. 20 K
D. 300 K

Answers

The change in temperature is 20 kelvin


What is Temperature?


Temperature can simply be described as how hot or how cold an object is at a particular period in time. The unit of temperature is Kelvin.

The formula for calculating change in temperature is

Final temperature - Initial temperature

Final temperature = 300 kelvin
Initial temperature= 280 kelvin

Change in temperature= 300-280

= 20 kelvin

Thus the change in temperature for this process is 20 kelvin


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The four tires of an automobile are inflated to a gauge pressure of 2.02×10^5 Pa. Each tire has an area of 217 cm^2 in contact with the ground. Determine the weight of the automobile.

Answers

The weight of the automobile is 17,533.6 N.

Weight of the automobile

The weight of the automobile is calculated as follows;

P = F / A

F = (W/4)

P = (W/4) / A

P = W/4A

W = 4AP

where;

P is pressure A is area

W = (4)(217 x 10⁻⁴ m²)(2.02 x 10⁵ Pa)

W = 17,533.6 N

Thus, the weight of the automobile is 17,533.6 N.

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By how much does the gravitational potential energy of a 55- kg pole vaulter change if her center of mass rises about 4.0 m during the jump?
Express your answer to two significant figures and include the appropriate units.

Answers

The change in the gravitational potential energy of the pole vaulter is 2,156 J.

Change in the gravitational potential energy

The change in the gravitational potential energy of the pole vaulter is calculated as follows;

ΔP.E = mg(Δh)

where;

m is massΔh is change in height

ΔP.E = (55)(9.8)(4)

ΔP.E = 2,156 J

Thus, the change in the gravitational potential energy of the pole vaulter is 2,156 J.

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Three strings, attached to the sides of a rectangular frame, are tied together by a knot as shown in the figure. The magnitude of the tension in the string labeled C is 56.3 N.
Calculate the magnitude of the tension in the string marked A. (You'll need to get the various positions from the graph. The ends of the strings are exactly on one of the tic marks.)

Answers

The magnitude of the tension in the string marked A is 52.5N

Generally, the equation for is mathematically given as

Let's take θ be an angle at A

So, tanθ = 3/8

Let's take α be an angle at B (Below X)

tanα = 5/4

Let's take β be an angle at C (Below x)

tanβ = 1/6

First we take the Horizontal Components

74.9cos(9.46°) = Acos(20.6°) + Bcos(51.3°)

By solving the equation, we get

A = 78.9 - 0.668B … (1)

Now, we take the vertical components

74.9sin(9.46°) + Asin(20.6°) = Bsin(51.3°)

By solving the equation, we get

40.07 = 1.015B

B = 39.5N

By substituting the value of B in equation (1)

A = 78.9 - 0.6668× 39.5

A = 52.5N

Hence, the magnitude of the tension in the string marked A is 52.5N

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