A series RLC circuit attached to a 120 V/60 Hz power line draws 2.80 A of current with a power factor of 0.830. What is the value of the resistor?

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

Let's use the given expression :

[tex]\qquad \tt \dashrightarrow \:a = v \dfrac{dv}{ds} [/tex]

[tex]\qquad \tt \dashrightarrow \:v \:dv= a \: {}{ds} [/tex]

Now, integrate both sides

[tex]\qquad \tt \dashrightarrow \: \int_{u}^v (v )\: dv= {\int _{0 }^{s} }{}^{} (a) \: {}{ds} [/tex]

[tex]\qquad \tt \dashrightarrow \: {\bigg[\dfrac{v {}^{2} }{2} \bigg]}_{u }^{v} \: = {\bigg[{a{s}^{} }{} \bigg]}_{0}^{s}[/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{1}{2} {\bigg[{v {}^{2} - {u}^{2} }{} \bigg]}_{}^{} \: = a{\bigg[{{s - 0}^{} }{} \bigg]}_{}^{}[/tex]

[tex]\qquad \tt \dashrightarrow \: v {}^{2} - {u}^{2} =2 as[/tex]

[tex]\qquad \tt \: \therefore v {}^{2} =u {}^{2} + 2as[/tex]

I hope you understood ~

Answer:

C. Light rays are bent by the water in the glass

Explanation:

That's the way science works and I learned about this before in class.

Answer:

Sine they are at right angles to each other, therefore “theta”= 90°. Using our cosine rule to look for our resultant force.

Explanation:

A^2=B^2+C^2 - 2BC COSthetha

A=resultant force; B=3N; C=4N; COS90=0.

A^2=3^2+4^2 - 2×3×4×0

A^2=9+16–0

A^2=25

A=√25

A=5N.

Answer:

с The handle will turn anticlockwise (to the left).

Explanation:

Answer:

15 267 times per second

Explanation:

1 / ( 6.55 x 10 ^-5) = 15 267 Hz

For a velocity selector for ions using perpendicular electric and magnetic fields is mathematically given as

B= 0.225 T

Generally, the equation for the magnetic field is mathematically given as

B = E/v

Therefore

B = 900/4000

B= 0.225 T

In conclusion. the magnetic field is

B= 0.225 T

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The magnetic field is weak in both A and C but strong in B since magnetic field strength increases with number of turns and quantity of current.

The strength of the magnetic field in a solenoid is affected by the following factors:

The strength of the magnetic field of a solenoid ncreases when:

Therefore, the magnetic field is weak in both A and C but strong in B.

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Answer:

Explanation:

mass of the water and power of the pump

mass of the water and power of the pump determines the height to which a force pump can lift water​.

To operate the forced pump, the user pushes a lever or handle on the ground. When the handle is pushed, the downhole cylindrical piston is pushed down into the well. As the piston passes through the water, it is pushed around the sides of the piston.

In addition to the fuel, the suction pump also supplies pressure. This allows the injector to pressurize the fuel more efficiently and prevent the engine from "starving". Without a suction pump, the injection pump would have to spend more time drawing fuel from the tank itself and pressurizing it before supplying it to the engine.

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For an aluminum disk of radius 8.7 cm and thickness 3.0 mm spinning around,  moment of inertia   is mathematically given as

I=16268.20gcm^2

Generally, the equation for the volume  is mathematically given as

v=\pir^2t

Therefore

v=\pi(8.7)^2*0.32

v=76.09cm^3

In conclusion, The inertia

I=136.83*8.7^2/2

I=16268.20gcm^2

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Answer:

The answer would be 25kg.

Explanation:

Because the force is 50 N and the acceleration is 2 meters per second squared and the Newton's Law Triangle is F = m x a or Force = Mass x Acceleration so we have to solve the equation 50 divided by 2 or 50/2 which results in 25kg.

Answer:

3 seconds

Explanation:

  initial velocity = 0ms

  final velocity = 24ms

  time(1) = 3s

  acceleration = ?

  time (2) =?

 solution:-

                          to find acceleration,

                 a =( vf - vi ) / t

                    = 24-0 /3

                    = 24/ 3

                 a= 8ms^-2

                          To find time(2)

                 t= (vf - vi )/ a

                   = 24- 0 / 8

                   = 24/ 8

                   = 3seconds

(a) The magnitude of force vector B at the given resultant force is 120 N.

(b) The direction of  force vector A is 142.46°

The resultant forces is calculated as follows;

Acosθ + Bcosθ = 0 --- (1)

Asinθ + Bsinθ = 150 ---- (2)

Acosθ + Bcos60 = 0    

-60 + Bsin60 = 0     (Acosθ = x-component of A = Ax)

Bcos60 = 60

B = 60/cos(60)

B = 120 N

Asinθ + Bsinθ = 150

Ay + Bsinθ = 150

Ay + 120sin60 = 150

Ay = 150 - 120sin60

Ay = 46.1 N

[tex]tan \theta = \frac{A_y}{A_x} \\\\\theta = tan^{-1} (\frac{A_y}{A_x})\\\\\theta = tan^{-1} (\frac{46.1}{-60})\\\\\theta = -37.53^0\\\\\theta = -37.53^0 + 180 = 142.46^0[/tex]

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Answer:

1. A substance that can be separated into two or more substances only by a chemical change is a(n) _____.

solution

element

mixture

compound

2.

Which of the following materials is a substance?

air

gasoline

stainless steel

silver

3.

The first figure in a properly written chemical symbol always is _____.

boldfaced

capitalized

italicized

underlined

4.

Which of the following represents a compound?

H

H-3

H2O

O-16

5. What do chemical symbols and formulas represent, respectively?

elements and compounds

atoms and mixtures

compounds and mixtures

elements and ions

Explanation:

The rocket plane will travel 800 meters before coming to rest.

initial speed= 80 m/s

kinetic friction= 0.6

Net force action on the plane:

  F- kinetic friction = mass * acceleration

 mass*g - 0.6*mass*g=mass*acceleration     (take g=10m/s)

              acceleration=4m/s

calculation of stopping distance:-

   V²=U²-2as

   0+2as=U²

   S=U²/2a

   S=(80*80)2*4

   S=800 meter.

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Answer:

A. 1-10

Explanation:

not sure..

The speed of the waves will be 100 cm/s. The speed of a wave is the product of the frequency and wavelength.

When an object vibrates, a pressure wave is created, which produces sound. The particles in the surrounding medium (air, water, or solid) vibrate as a result of the pressure wave.

For one node distance is [tex]\lambda[/tex]

The distance between 4 nodes;

[tex]=\rm \lambda+ \frac{\lambda}{2} \\\\ = \frac{3 \lambda}{2} \\\\[/tex]

The distance between 4 nodes = 15.0 cm.

[tex]\frac{3\lambda}{2} = 15 \times 10^{-2} \\\\ \lambda= \frac{2 \times 15 \times 10^{-2}}{3} \\\\\ \lambda= 10 \times 10^{-2}[/tex]

The given frequency of the source is;

f = 10 Hz

The speed of wave is found as;

[tex]\rm v = f \lambda \\\\ v= 10 \times 10^{-2} \\\\ v=1 \ m \\\\\ v = 10^2 \ cm/sec[/tex]

Hence,  the speed of the waves will be 100 cm/s

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[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here,

Here, we have

We have to find the time of flight

We know that,

Time of flight

[tex]\sf{ = }{\sf{\dfrac{ 2uSin{\theta}}{g}}}[/tex]

Subsitute the required values,

[tex]\sf{ = }{\sf{\dfrac{ 2{\times}100{\times}Sin30{\degree}}{9.8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 200{\times}{\frac{1}{2}}}{9.8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 100}{9.8}}}[/tex]

[tex]\bold{ = 10.20 \: s }[/tex]

Hence, The time of flight is 10.20 sec .

Here, We have

We have to find the maximum height attained by the body

We know that,

Maximum height

[tex]\sf{ = }{\sf{\dfrac{ u^{2}Sin^{2}{\theta}}{2g}}}[/tex]

Subsitute the required values,

[tex]\sf{ = }{\sf{\dfrac{ (100)^{2}{\times}Sin^{2}30{\degree}}{2{\times} 9.8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 10000{\times}{\frac{1}{2}}{\times}{\frac{1}{2}}}{19.6}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 5000{\times}{\frac{1}{2}}}{19.6}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 2500}{19.6}}}[/tex]

[tex]\sf{ = 127.5 \: m}[/tex]

Hence, The maximum height attained by the body is 127.5 .

Here, we have

We have to find the horizontal range

We know that,

Horizontal range

[tex]\sf{ = }{\sf{\dfrac{ u^{2}Sin2{\theta}}{g}}}[/tex]

Subsitute the required values,

[tex]\sf{ = }{\sf{\dfrac{ (100)^{2}{\times}Sin2{\times}30{\degree}}{9.8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 10000{\times}Sin{\times}60{\degree}}{9.8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 10000{\times}{\frac{\sqrt{3}}{2}}}{9.8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 5000{\times}\sqrt{3}}{9.8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 5000{\times}1.732}{9.8}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 8660}{9.8}}}[/tex]

[tex]\sf{ = 883.67 \: or 883.7 m}[/tex]

Hence, The range of the body is 883.67 or 883.7 m.

Answer:

(a) 10.20 s (nearest hundredth)

(b) 127.55 m (nearest hundredth)

(c) 883.70 m (nearest hundredth)

Explanation:

Part (a)

At the end of the projectile's flight, its vertical displacement will be zero.

Resolving vertically, taking up as positive:

[tex]s=0\quad u=100 \sin30^{\circ} \quad v=v, \quad a=-9.8, \quad t=t[/tex]

[tex]\begin{aligned}\textsf{Using }\:s & =ut+\dfrac12at^2:\\ 0 & =100 \sin 30^{\circ}t+\dfrac12(-9.8)t^2\\ 0 & = 50t-4.9t^2\\ 4.9t^2 & = 50t\\ 4.9t & = 50\\ t & = \dfrac{50}{4.9}\\ t & = 10.20\:\sf s\:(nearest\:hundredth)\end{aligned}[/tex]

Part (b)

At the maximum height, vertical velocity will be zero.

Resolving vertically, taking up as positive:

[tex]s=0\quad u=100 \sin30^{\circ} \quad v=0, \quad a=-9.8, \quad t=t[/tex]

[tex]\begin{aligned}\textsf{Using }\:v^2 & = u^2+2as :\\ 0^2 & = (100 \sin 30^{\circ})^2+2(-9.8)s\\ 0 & = 2500-19.6s\\ 19.6s & = 2500\\ s & = \dfrac{2500}{19.6}\\ s & = 127.55\: \sf m\:(nearest\:hundredth) \end{aligned}[/tex]

Part (c)

The horizontal velocity of a projectile is always constant, so u = v.

The horizontal component of acceleration is zero.

Resolving horizontally, taking right as positive (and using the value for t we found in part a):

[tex]s=s\quad u=100 \cos30^{\circ} \quad v=100 \cos30^{\circ} , \quad a=0, \quad t=\dfrac{50}{4.9}[/tex]

[tex]\begin{aligned}\textsf{Using }\:s & =ut+\dfrac12at^2 : \\ s & =(100 \cos 30^{\circ})\left(\dfrac{50}{4.9}\right)+\dfrac12(0)\left(\dfrac{50}{4.9}\right)^2\\ s & =50\sqrt{3}\left(\dfrac{50}{4.9}\right)+0\\ s & =883.70\: \sf m\:(nearest\:hundredth)\end{aligned}[/tex]

Answer:

You should probably try following the instructions and you will be able to find the answer to the question :>

Explanation:

but mostly the technology's using us

The current in the series circuit  across a 9.0 V potential difference is determined as 0.333 A.

The current in the series circuit is determined by applying ohms law as shown below;

V = IR

where;

R = 12 Ω  + 15 Ω  = 27 Ω

I = V/R

I = 9/27

I = 0.333 A

Thus, the current in the series circuit  across a 9.0 V potential difference is determined as 0.333 A.

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Answer:

See below ~

Explanation:

Total Resistance

Total Current Drawn

Answer: If you are adding heat to a sample at a constant rate , you plot the temperature against time.

Explanation:

Answer:

D

Explanation:

Cellular respiration is a set of metabolic reactions and processes that take place in the cells of organisms to convert chemical energy from oxygen molecules or nutrients into adenosine triphosphate, and then release waste products.

For a current loop with a radius 20 cm and current 2 A is in a uniform magnetic field of 0.5 T, largest potential energy difference is mathematically given as

du=0.2512J

Generally, the equation for the initial velocity  is mathematically given as

v0=-iAB

Therefore

-2*\pi(0.2)(0.5))

v0=-0.1256J

for  180

theta=0180=-iABcos180

V180=0.1256J

Therefore

du=v180-v0

0.1258-(-0.1256

du=0.2512J

In conclusion,  potential energy

du=0.2512J

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Hi there!

Recall that the amplitude of an oscillating system occurs at a point of maximum potential energy.

For a spring system, potential energy is given as:
[tex]U = \frac{1}{2}kx^2[/tex]

U = Potential Energy (J)

k = Spring constant (N/m)
x = amplitude (m)

We can rearrange the equation to solve for amplitude more easily.

[tex]U = \frac{1}{2}kx^2\\\\2U = kx^2\\\\x^2 = \frac{2U}{k}\\\\x = \sqrt{\frac{2U}{k}}[/tex]

If we double 'U':
[tex]x' = \sqrt{\frac{2(2U)}{k}} = \sqrt{2}*\sqrt{\frac{2U}{k}}\\\\x' = \sqrt{2} * x[/tex]

Thus, the new amplitude would be √2 times greater, so:
[tex]20 cm \cdot \sqrt{2} = \boxed{28.284 cm}[/tex]

Changes in daily routine or lifestyle like traveling can lead to constipation

However, other causes of constipation include the following:

This is a health condition in whereby there is difficulty in emptying the bowels.

This makes defecation very difficult.

So therefore, changes in daily routine or lifestyle like traveling can lead to constipation

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Researching information

Explanation: Edge 2020

hope this helps :3. pls mark me brainiest Brainliest

Answer:

It is C.

Explanation:

Got it right on edge.

Answer:

The property of light going in a straight lines in a homogenous straightforward medium is known as rectilinear engendering of light.

Answer:

the property of light travelling in a straight lines in a homogenous transparent medium

Explanation:

ANS:-

The characteristics of fluid are as given below:

#HOPE IT HELPED YOU#

compressibility, pressure, buoyancy, viscosity, and surface tension are characteristic of a fluids.

Fluid is a material which can flow. gas and liquid is called as fluid. If a fluid is not compressible and it has zero viscosity it is considered an ideal fluid.

Fluids have no definite shape.

it has many characteristics,

Compressibility, different fluids have different compressibility, only gas is compressible, liquids are incompressible.  

Pressure - all flued have pressure associated with them, when a gas is enclosed in a box, gas molecule have kinetic energy which collides on the wall of the box and pressurize it. Flowing water have pressure.

buoyancy - when a small object is falling in the flued a force called buoyance force is acted upon it which opposes falling motion.  

Viscosity - it is relative motion between two adjacent layer, each liquid has different viscosity.    

surface tension - it is the force per unit tangential line on the region which acts as stretched membrane.

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The type of mental function that is the strongest and most obvious is feeling. That is option A.

Mental function can be defined as those activities that are performed by individuals such as thinking, sensing, or reasoning that involves the cognitive use of the brain.

The four basic cognitive functions include:

The magnitude of each basic cognitive functions depends on the personality of the individual.

An extrovert is an individual that is active, outgoing, and has an expressive pattern of behaviour. Therefore extrovert feeling would be the strongest and most obvious.

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