Potential relays measure the back ________ developed across the ________ winding to operate the relay.

The normal in the water is 29.8°

Let

[tex]n_i=[/tex] the index of refraction for the material with incident light,

 [tex]n _r[/tex] = the index of refraction for the material with refracted light,

 [tex]\theta_i=[/tex] the angle of incidence

[tex]\theta_r[/tex] = the angle of refraction.

Applying Snell's law

[tex]n_isin\theta_i=n_rsin\theta_r[/tex]

Given

[tex]n_a=1, n_g=1.550, n_m=1.329n[/tex]

a)

From air to glass

[tex]n_a sin\theta_1[/tex][tex]=n_gsin\theta_2[/tex]

​[tex]1\\sin *41.3 = 1.550 *sin\theta_2[/tex]

A normal from glass to water

[tex]n_g sin\theta_2 =n_m sin \theta_3 \\1.550\cdot\sin25.2\degree=1.329\cdot\sin\theta_3\\1.550*sin25.2=1.329*sin\theta_3 \\\theta_3=\arcsin({1.550\cdot \sin25.2\degree \over 1.329})\\\approx29.8\theta_3 =arc sin( 1.3291*550*sin25) ≈ 29.8[/tex]

Hence the normal in the water is 29.8°

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Answer:

A-Oil pressure relief valve.

The heat needed is 132J

Given the mass of the gold m = 3 gram.

The initial temperature of the gold T = 21 degree celsius.

The final temperature of the gold  T' = 363 degree celsius.

Hence, the change in temperature  dT = T' - T

= 363 - 21 degree celsius

= 342 degree celsius.

The specific heat of the gold is given as c = 0.129 J/g°C

We are asked to calculate the heat required ( dQ ) to raise the temperature of gold.

The heat required for this is calculated as

dQ = mcDT

dQ = 3 × 342 × 0.129 J

dQ = 132.354 J ≈ 132 J

Hence, the Heat needed  is 132 J.

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Answer: B (132 joules)

Explanation:

0.22 m/s is the speed when the displacement is 1.75 cm.

Given:

A simple harmonic oscillator has;

Amplitude (A) =3.50 cm = 0.035 m

Maximum Speed (Vmax) = 26.0 cm/s = 0.26 m/s

Displacment (d) = 1.75cm =0.0175 m

The displacement d, whose maximum is the amplitude A , is expressed as:

∴ d = A Sin wt

   [tex]\frac{d}{A}[/tex] = Sin wt

   t = [tex]\frac{1}{W}[/tex] Sin⁻¹ ( [tex]\frac{d}{A}[/tex] )                  

  v = - Aw cos wt

  v = - Aw cos w [ [tex]\frac{1}{W}[/tex]sin⁻¹ ([tex]\frac{d}{A}[/tex]) ]

  v = - Aw cos [ sin⁻¹ ([tex]\frac{d}{A}[/tex]) ]

Speed, v = Vmax cos [ sin⁻¹ ([tex]\frac{d}{A}[/tex]) ]             ∵ Vmax = Aw

            v = 0.26 cos [ sin⁻¹ ( [tex]\frac{0.0175}{0.035}[/tex]) ]

            v = 0.22 m/s

Therefore, 0.22 m/s is the speed when the displacement is 1.75 cm.

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Answer:. True

Explanation:

The risk of becoming infected from contact with an HIV-positive healthcare provider is indeed remote. The Centers for Disease Control and Prevention (CDC) have recommended the use of universal precautions by healthcare providers to minimize the risk of transmitting many infectious diseases, including hepatitis and HIV. The risk of transmission from patient to healthcare provider is far greater than from provider to patient.

"Some people say the risk of hiv transmission from a healthcare provider  is small."

That statement is True.  Because ...

There is NO statement on which public opinion is unanimous.

It can be something as innocuous as "The sky is blue during the day and rain makes the ground wet.", and you will never get 100% of the people to agree on it.  There will still be some people who say it's True and others who say it's False.

And plus ... In this particular case, we're talking about a public health question.  In today's political and cultural environment, marked by anti-science tendencies, a lot of people think that Science is not being truthful with us, it's all a big conspiracy, we are all being misled, and every individual should have the freedum to decide for himself.  So when it comes to talking about something like the risk of HIV transmission, everybody is his own expert.  Some will say the risk of transmission from a healthcare provider is substantial, and the rest will say it's small.

So the long sentence in the question is True.  Some people do indeed say that.  

Answer:

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

Explanation:

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

Q absorbed = Q released

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

C can be cancelled since they are the same substance.

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

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

T = 16.49 degrees Celsius

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

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

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

Q absorbed = Q released

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

C can be cancelled since they are the same substance.

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

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

T = 16.49 degrees Celsius

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

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The term above which describes the amount of force exerted on a given area is pressure

However, pressure is derived quantity.

What are derived quantities?

Derived quantities are those quantities which are obtained from the combination of fundamental quantities either by addition, division or multiplication

In conclusion, the term above which describes the amount of force exerted on a given area is pressure

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Pressure is the term which describes the amount of force exerted on a given area and is denoted as option D.

This is described as the force per unit area of a substance and the unit is mmHg or pascal.

This is why pressure was chosen as the most appropriate choice in this type of scenario.

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The weight of the box is 300 newton whereas the acceleration is 3.3 m/s2.

The weight of the box is 300 newton because weight is a force which move towards the center of the earth due to gravity and we know that gravity is 10 m/s2.

The box is moving with 3.3 m/s2 if we put in the formula below.

acceleration= force/mass

A = 100/30

A = 3.3 m/s2

So we can conclude that the weight of the box is 300 newton whereas the acceleration is 3.3 m/s2.

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Answer:

The time taken is 555.56 s.

Explanation:

The average velocity is the ratio of the net velocity to the time required to achieve net velocity.

The formula of average velocity is,

v(av)=d/t

Given d=5.0 km which is 5*1000 m=5000 m and v(av)=9.0 m/s.

Therefore 9=5000/t

                 t=5000/9

                 t=555.56

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

be mistaken for comets was Charles Messer's.

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

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

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

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

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

 sword of Orion.

  There are various tales of Charles Messiers which put him forward

  towards his love of Astronomy.

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

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

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

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

K.E  = ¹/₂mv²

2K.E = mv²

v² = 2K.E/m

v² = (2 x 19,400)/(60)

v² = 646.667

v = √646.667

v = 25.43 m/s.

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

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The maximum height attained by the ball is 60 m.

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

v^2 = u^2 - 2gh

v =  final velocity

u = initial velocity

g = acceleration due to gravity

h = maximum height

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

u^2 = 2gh

h = u^2/2g

h = (34.3)^2/2 * 9.8

h = 60 m

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Yes, it was demonstrated that the masses of the 4 different baskets differ meaningfully.

If we compare the two ranges, the differences are significant because the error range for the same basket was less than the differences between different baskets.

The Error range is a measurement of the degree of uncertainty attached to a number and is defined as the difference between the greatest and lowest error values.

So, Yes the baskets masses differ by more than the range of measurement error that was obtained by repeatedly measuring the mass of one basket.

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Answer:

See below

Explanation:

The vertical force in the R cable must equal the vertical force of the weight (since there is no vertical force in the L cable)

f sin30 = 150     then f-right = 300 N    = L tension

The horizontal forces in the L and R cables must match

Horizontal   :   f-right = f-left      =   300 cos 30 = 259.8 N  = L tension

Answer:

37.5 Seconds

Explanation:
Speed = frequency * Wavelength

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

40 Waves per second, = 40 Hz

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

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

Speed = Distance / time taken
Time = Distance / Speed

Time = 120 / 3.2

Time = 37.5 seconds

Answer:

86.4 m  horizontal from landing spot

Explanation:

Find out how long before the ball hits the ground

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

find time to hit ground from 100 m  

          ( height will be zero when it hits the ground)

0 =  100  - 2 t  - 1/2 ( 9.81) t^2

        use Quadratic Formula to find t = 4.32 seconds

              horizontal speed of ball = 20 m/s  

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

Answer:

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

Explanation:

Yes that can be understood by a simple example

Suppose two people are in exam

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

The purpose of the experiment is to describe how the plasma membrane contributes to how the cell functions.

The dependent variable is the variable bring investigated. In this case, the dependent variable is the egg circumference.

The independent variable is the variable controlled by the researcher.

The controlled variable has no influence on the results. An example is the concentration of vinegar.

A hypothesis is a proposition which can be tested by observations. In order to form a hypothesis, it's important to collect observations about the problem being examined.

The tools that can be used to collect data include observations and records taken.

The procedure to collect the data include:

The conclusions that can be drawn about how the sum of forces acting on an object affect its motion is that when the forces cancel out, then the resultant force will be zero, if not, the unbalanced force will result in the acceleration of the object.

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Answer:

8:P.E,9:gaining K.E,10:P.E,11:gaining K.E.

Explanation:

it gained potential energy at 8 because it was at its maximum height,and since potential energy is the energy that u posses due to ur height,thats the energy it possesed on the spot 8.as you can see on spot 9 its moving down so as its moving down,it gains kinetic energy,since its an energy possesed by a body due to its motion/movement,thats what it gained at spot 9, it gsained kineti energy because of its movement.and at 10 agian it would gain potential energy ecause of height and on point 11 as its heading upwards it gains kinetic energy because of movement.

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

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

Now we have the following;

The compression =  20 mm or 0.02 m

The spring constant = 90kN/m

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

= 1/2 *  90kN/m * (0.02 m)

= 0.018 J

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a. The speed of the pendulum when it reaches the bottom is 0.9 m/s.

b. The height reached by the pendulum is 0.038 m.

c. When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.

K.E = 100%P.E - 18%P.E

where;

K.E(bottom) = 0.82P.E

K.E(bottom) = 0.82(mgh)

K.E(bottom) = 0.82(1 x 9.8 x 0.05) = 0.402 J

K.E = ¹/₂mv²

2K.E = mv²

v² = (2K.E)/m

v² = (2 x 0.402)/1

v² = 0.804

v = √0.804

v = 0.9 m/s

P.E = 100%K.E - 7%K.E

P.E = 93%K.E

P.E = 0.93(0.402 J)

P.E = 0.374 J

P.E = mgh

h = P.E/mg

h = (0.374)/(1 x 9.8)

h = 0.038 m

When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.

Thus, the speed of the pendulum when it reaches the bottom is 0.9 m/s.

The height reached by the pendulum is 0.038 m.

When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.

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The speed of the second rock after the collision is 4.15m/s

Given the direction of rock in space is x , the direction with speed is 6m/s

After the collision the speed of the first rock is at 4 m/s

The angle given is 60 degrees with respect to x - axis

We need to calculate the speed of the second rock after the collision is

We know that

[tex]m_1=m_2[/tex]

[tex]v_1 = 6m/s\\v_2 = 4m/s[/tex]

θ = 60°

We need to find [tex]v_x[/tex] and [tex]v_y[/tex]

Therefore ,

[tex]m_1v_1= m_2v_2cos60+m_2v_2\\[/tex]

So, 6 = 4 cos 60° + [tex]v_2[/tex]

[tex]v_x = 6-4cos60\\v_x = 2m/s[/tex]

The same way we will find the momentum for [tex]v_y[/tex]

The total momentum is 0

0+0 = [tex]m_1(4)sin60 + m_2v_y[/tex]

[tex]v_y = -3.64 m/s[/tex]

Now ,

V (resultant) = [tex]\sqrt{(v_x)^{2} + (v_y)^2} \\v = \sqrt{(2)^2+(-3.64)^2} \\v = 4.15 m/s[/tex]

Hence the speed of the  second rock after the collision, in m/s is 4.15m/s

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The adaptation of a cheetah is shown in the image which shows it running is its long and strong legs to run fast which is denoted as option B.

These are the physical and behavioral features which ensures that they survive in their changing environment.

Cheetahs are known to have long and strong legs which is the reason why it runs at a very high speed.

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Answer: Option (B) is correct

Explanation: Hope it helps!

Good luck!

The force on a charge in an electric field is  E = 1*10^-9  N/C.

         F = QE

and according to newton's  second law, the acceleration the charge will undergo is :

      a = F / m

Putting these two equations together we get

     E = m/q

For an electron with mass m= 9.11*10^-31 kg and charge  Q= 1.60*10^-19 C.

E = 9.11*10^-31 kg / 1.60*10^-19 C

E = 1*10^-9  N/C.

Electric discipline, electric-powered assets associated with each point in space when the price is present in any form. The magnitude and direction of the electrical subject are expressed with the aid of the value of E, called electric area power or electric powered discipline intensity or certainly the electrical area.

An electric-powered discipline is a place of the area around an electrically charged particle or objects wherein an electric charge might feel pressure. An electric-powered field is a vector amount and can be visualized as arrows going towards or far from expenses.

Examples of electric fields consist of the field produced in the dielectric of a parallel-plate capacitor (which creates an electrostatic discipline) and the electromagnetic wave produced by a radio broadcast monopole antenna (which creates a time-various area)

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Answer:

The speed of sound depends on the medium thru which it travels in contrast to light (electromagnetic) which can travel thru a vacuum.

The speed of sound will depend on the density of the air thru which it travels - the density  of air is particularly affected by

humidity - water vapor in the air contributes to less density

temperature - warmer is less dense

motion of air - if the air is not motionless the speed will be affected

There are a few reasons why the value for the speed of sound may be a little different from the accepted value of 340 m/s such as the temperature and humidity of the air, the presence of other gases, and the shape of the object.

The temperature of the air: The speed of sound increases as the temperature of the air increases. So, if you measure the speed of sound in air that is warmer than 20 degrees Celsius, your value will be slightly higher than 340 m/s.

The humidity of the air: The speed of sound decreases as the humidity of the air increases. So, if you measure the speed of sound in air that is more humid than 0%, your value will be slightly lower than 340 m/s.

The presence of other gases: The speed of sound is slightly different in different gases. So, if you measure the speed of sound in a gas other than air, your value will be different from 340 m/s.

The shape of the object: The speed of sound is slightly different in different shapes of objects. So, if you measure the speed of sound in an object that is not a sphere, your value will be slightly different from 340 m/s.

In addition to these factors, there are also some experimental errors that can contribute to a difference between the actual value and the accepted value. These errors can be caused by things like inaccurate measurements of the distance or the time, or by small variations in the experimental setup.

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A visible white and red light indicate a second craft is coming from the starboard (right) side.

A navigation light often referred to as a running light or position light, is a source of illumination aboard a ship, plane, or spacecraft that provides information about the location, course, or condition of the vehicle. Red and green navigation lights help with traffic control by indicating the orientation of the craft.

All navigation light systems typically comprise one or more white lights as well as red and green sidelights that designate the boat's port and starboard sides.

Having a flashlight on board is also essential since you never know when a navigation light may go out.

The typical navigational lights:

Sidelights: Because they are visible to other vessels approaching from the side or head-on, these red and green lights are sometimes known as combo lights. The port (left) and starboard (right) sides of a ship are indicated by the red and green lights, respectively.

sternlight: Only from behind or almost behind the ship can one see the sternlight.

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Energy, heavier atoms atoms, neutron and a proton are the products of a fusion reaction.

Nuclear fusion is a type of reaction in which two or more atomic nuclei fuse or combine to form heavy nuclei and subatomic particles such as neutrons or protons and release of energy.

So we can conclude that Energy, heavier atoms, neutron and a proton are the products of a fusion reaction.

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Answer:

B C D

Explanation: