The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x = squareroot l + t, y = 4 + 1/8t, where x and y are measured in centimeters. The temperature function satisfies T_x(3, 5) = 7 and T_y(3, 5) = 2. How fast is the temperature rising on the bug's path after 8 seconds? () ________ degree C/s

Answers

Answer 1

Fast is the temperature rising on the bug's path after 8 seconds 0.75 degree C/s.

Given temparature  T=T(x,y)

position of the bug after 't' sec is given by

[tex]x=\sqrt{1+t} , y=4+\frac{1}{8}t[/tex]

at t=8 sec x=3 and y=5

rate of change of temparature is given by

[tex]\frac{\mathrm{d} T}{\mathrm{d} t}=\frac{\partial T}{\partial x}\frac{\mathrm{d} x}{\mathrm{d} t}+ \frac{\partial T}{\partial y}\frac{\mathrm{d} y}{\mathrm{d} t}[/tex]

[tex]\Rightarrow \frac{\mathrm{d} T}{\mathrm{d} t}=T_{x}\frac{1}{2\sqrt{1+t}}+T_{y}\frac{1}{8}[/tex]

at t=8 sec i.e., at x=3,y=5

given [tex]T_{x}(3,5)=7 , T_{y}(3,5)=2[/tex]

therefore rate of change of temparature in the bug's path is

[tex]\frac{\mathrm{d} T}{\mathrm{d} t}=3\frac{1}{2\sqrt{1+8}}+\frac{1}{8}(2)[/tex]

[tex]\Rightarrow \frac{\mathrm{d} T}{\mathrm{d} t}=\frac{1}{2}+\frac{1}{4}=0.75^{\circ}C/s[/tex]

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Related Questions

A 44 year old electrician has been shocked. He is responsive to verbal stimuli and has garbled speech. His airway

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An electrician, 44 years old, was startled. He responds to verbal cues and speaks erratically. blow 12 breaths per minute with a BVM.

What is an electrician?

An electrician is a tradesperson with expertise in wiring electrical systems for stationary machines, transmission lines, and other associated machinery. Electricians may work on new electrical component installations or the upkeep and repair of current electrical infrastructure. In factories, businesses, and residences, electricians are responsible for fixing, setting up, and maintaining the electrical power, lighting, and communications systems.

What skills do electricians need and what are the working conditions of an electrician?

• Setting up and maintaining electrical devices, systems, and equipment.

• Using and maintaining power and hand tools like drills, pliers, and screwdrivers.

• Fixing wire infrastructure.

• Setting up conduits, wires, and tubing for electrical use.

• Checking systems, tools, and equipment.

Depending on the electrician's specialty, different working conditions apply. Typically, an electrician's job requires them to climb ladders and lift equipment and supplies. An electrician occasionally has to operate on scaffolding or in a small area, and they frequently have to bend over, stoop down, or kneel to make connections in tight spaces. Many of the days that construction electricians work may be spent in noisy, unclean outside or semi-outdoor construction sites. Industrial plants' heat, dust, and noise may be exposed to industrial electricians. Electricians who specialize in power systems may be called upon to perform emergency repairs in all types of bad weather.

The correct question is:

A 44 year old electrician has been shocked. He is responsive to verbal stimuli and has garbled speech. His airway is open ad he is breathing shallowly at a rate of 8 times per minute. his pulse is slow and irregular. Which one of the following actions should the EMT perform next?

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A tone i projected at an angle of 30degree to the horizontal from the top of a tower 100metre high. If the initial velocity i 100m/, calculate the time of flight

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The time of flight of the stone when projected at the angle of 30 degrees is 5.102 s.

Since the stone is in a projectile motion, only the force of gravity acts upon the stone.

Angle of projection = θ = 30°

Height of the tower = 100 m

Initial velocity = u = 100 m/s

Acceleration due to gravity = g = 9.8 m/s²

The time of flight = T =

= T = usinθ /g

= T = 100 sin 30 / 9.8

= T = 50 / 9.8

= T = 5.102 s

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several species of mollusks and clams produce a crystalline style, a cylindrical protrusion 5.00 mm in length and 0.800 mm in diameter, in their stomach to act as a capstan and aid in the digestion process. the style is rotated about its long axis at an average speed of 12.0 rpm, and typically dissolves after 2.00 h. (a) what is the angular acceleration (in rad/s2) of the style if, starting from rest, it reaches a rotation speed of 12.0 rpm in 10.7 s? 0.117 correct: your answer is correct. rad/s2 (b) what is the angle (in rad) through which the style rotates to reach its final rotational speed after 10.7 seconds? 6.697 correct: your answer is correct. rad (c) what is the rotational kinetic energy (in j) of the 3.00 g style once it reaches its final rotational speed after 10.7 seconds? incorrect: your answer is incorrect. what is the formula for the kinetic energy of a rolling object? what is the moment of inertia of the style? j

Answers

Moment of inertia of thin cylindrical body = MR²/2 and Rotational kinetic energy= 1/2 × moment of inertia × (angular speed)²

a) As the angular acceleration If the style starts from rest.

Angular acceleration (in rad/s²) of the style if, starting from rest, it reaches a rotation speed of 12.0 rpm in 10.7s will be

angular acceleration= angular speed / time

angular acceleration= (12×2π)÷(10.7×60)

angular acceleration= 0.117 rad/s².

b) Angle (in rad) through which the style rotates to reach its final rotational speed after 10.7 seconds will be-

angle= 1/2 × angular acceleration × time²

angle = 1/2 × 0.117 × (10.7)²

angle = 6.697 rad.

c) The rotational kinetic energy (in j) of the 3.00 g style once it reaches its final rotational speed after 10.7 seconds will be-

Rotational kinetic energy= 1/2 × moment of inertia × (angular speed)²

and Moment of inertia of the cylindrical protrusion 5.00 mm in length and 0.800 mm in diameter style = (mass × radius²) ÷ 2

(Since moment of inertia of thin cylindrical shell = MR²/2)

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A horizontal wire carries a large current. A second wire carrying a current in the same direction is suspended below it. Can the current in the upper wire hold the lower wire in suspension against gravity?

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Yes, the current in the upper wire can hold the lower wire in suspension against the gravity.

There is one horizontal wire that carries a large current.

There is also second wire which carries the same current in the same direction but it is suspended below it. As the upper wire has a current in it, it will create a magnetic field in a circular manner.

Now, the second wire will be in the proximity of the magnetic field created by the upper wire and the current in the lower wire and the magnetic field will be perpendicular to each other.

Now, because of the current in the wire and the magnetic field there will be a force generated in the lower wire which will be directly opposite to the weight of the lower wire which will balance out the weight of the lower wire because it is said that the wire carries a large current.

So, here we can conclude that the current in the upper wire can hold the lower wire in suspension against the gravity.

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consider two cases where two boxes are pulled by the same force f along frictionless races, accelerating toward the left. the masses of the boxes are indicated in each figure. will the tension in rope a on the left be a) greater than, b) less than, or c) equal to the tension in rope b on the right

Answers

The tension in case 2 is greater than case 1 that is T2 > T1

What is tension ?

Any physical object that is in contact with another one can apply forces to that object. Depending on the types of objects in touch, we label these contact forces differently. We refer to the force as tension if a rope, string, chain, or cable is one of the things applying the force.

In medium lengths, tension exerts its force, especially in flexible materials like rope or cord. The force of tension is still a gravitational force. The tension will be referred to as the T = W + ma if the body is moving upward. The thickness remains constant as the body descends, T = W - ma.

Case 1 : The tension can be calculated by :

F = 3ma

a = F/3 m

Thus the equation becomes

mass X acceleration =  F - T1

T1 = F - 2/3 F

T1 = F /3

Case 2: ma = 3ma - T2

T2 = 2ma = 2 X F/3m

the values are taken from the diagram

thus T2 = 2F/3

So we can conclude that T2 > T1

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contrast the molecular structures, bonding types, and mechanical characteristics of thermoplasts, thermosets, and elastomers.

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Simply how they share electrons distinguishes the various bond kinds. Polar bonds share unevenly, ionic bonds don't share at all, and covalent bonds share equally.

Simple electron sharing patterns distinguish the various bond types.Covalent bonds are created when electrons are shared. Despite the fact that both thermosetting plastics and thermoplastics are polymers, how they react to heat is different. Thermoplastics can melt in the presence of heat after curing, whereas thermoset plastics retain their  and remain solid in the presence of heat. Both their weight and chemical stability are low. excellent thermal insulation and low thermal conductivity. Glass fibers and mineral fillers are typically heavily incorporated into thermoset resins. Polymers called elastomers can be stretched far beyond their original length and can be quickly and compressed to almost their original dimensions.

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An 8. 0-newton wooden block slides across a horizontal wooden floor at constant velocity. What is the magnitude of the force of kinetic friction between the block and the floor?.

Answers

The magnitude of the force of kinetic friction between the block and the floor is 2.4N.

Explain magnitude of kinetic friction.

Kinetic friction is a force that exists between moving surfaces. A moving body on the surface is subjected to a force in the opposite direction of its movement. When two things rub against each other, the frictional force is turned into thermal energy, which in some situations causes fire. Kinetic friction is responsible for machine part wear and tear, so it is critical to lubricate the machine parts with oil.

F(x) = -kx, and k = 325 N/m for the spring.

0.250 kinetic coefficient of friction

From x = 0 to x = 0.70 metres, the spring compresses.

W net = 0 to 0.70 meter integral [- F spring - F friction] = 1/2 * (-k) * x2 - mu * mg * normal force x = 1/2 * (-325N/m) * (.70)2 - 0.250 * 6kg * 9.81m/s2 * 0.70 - 0

= - 89.93 Joules

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What is our current best hypothesis as to how the whole uranian system came to have such a large inclination?.

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The current best hypothesis search is based on the principle of consistency, which calls for maintaining a single hypothesis and making adjustments as new examples are discovered.

The set of hypotheses in the hypothesis space H are those that the learning algorithm is intended to entertain. According to the solar nebula theory, a massive interstellar gas cloud that condensed into the sun and planets is what gave birth to the solar system. The solar nebula theory, which contends that the planets and sun in the solar system formed from the solar nebula, is what emerged from the evolutionary hypothesis. The entire solar system, including the sun and planets, condensed from the solar nebula, a cloud of interstellar gas and dust.

This theory therefore suggests the following:.

An initial rotating cloud of gas condensed and flattened out like a pancake. The sun started to form at the center of this small disk of gas and dust. However, the gas and dust are also components of the planets themselves. The planets were therefore created from these components at the same time as the sun. The planets around the sun were eventually left behind when the sun was sufficiently bright to drive away the extra dust and gas into space.

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A hair dryer has a power rating of 1,265 W at 220 V rms. Assume the hair dryer circuit contains only resistance. (a) What is the resistance of the heating element? (b) What is the rms current drawn by the hair dryer? (c) What is the maximum instantaneous power that the resistance must withstand?

Answers

A hair dryer has a power rating of 1,265 W at 220 V rms. The resistance of the heating element is 0.0261 ohm, the rms value of current is 4.078 A and maximum instantaneous power will be 632.5 W.

Given,

Power of the hair dryer, P = 1265 W

and Voltage, V = 220 V

The current in the hair dryer, I = P/V (from P=V×I)

I = 1265/220

= 5.75 Amp

The resistance (R) of the heating element can be calculated as;

P= [tex]V^{2}[/tex]/R

1265= [tex]220^{2}[/tex]/R

R=1265/[tex]220^{2}[/tex]

=0.0261 Ohm

(b) The rms value of current, [tex]I_{rms}[/tex] = I/[tex]\sqrt{2}[/tex]

= 5.75/[tex]\sqrt{2}[/tex]

=4.078 A

(c) Maximum instantaneous power that the resistance withstand can be calculated as;

P(t) = (VI)/2

=(220×5.75)/2

=632.5 W

Hence, the resistance of the heating element is 0.0261 ohm, the rms value of current is 4.078 A and maximum instantaneous power will be 632.5 W.

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How many gram of coffee mut evaporate from 750 g of coffee in a 120 g gla cup to cool the coffee from 95. 0°C to 48. 0°C? You may aume the coffee ha the ame thermal propertie a water and that the average heat of vaporization i 2340 kJ/kg (560 cal/g). (You may neglect the change in ma of the coffee a it cool, which will give you an anwer that i lightly larger than correct. )

Answers

65 grams of coffee must evaporate.

Here, we use the formula of heat transfer

Heat loss by the system = heat gain by the system

We need to calculate the heat loss by the coffee and glass itself individually

Heat loss by glass

Heat loss by glass = mass of glass * specific heat capacity *change in temperature

= (120/1000 Kg)* (840)* (48 - 95)

= - 4737.6 J

Heat loss by the glass is -4737.6 J

Similarly we calculate heat loss by coffee

Heat loss by coffee = mass of coffee * specific heat capacity * change in temperature

= (750/1000 Kg) * ( 4184) *( 48 - 95)

= - 147486 J

Heat loss by coffee is -  147486 J

Total heat loss = Heat loss by coffee + Heat loss by glass

= -152223.6 J

evaporation of liquid  = Amount of heat loss

Mass of evaporation * Latent heat = 152223.6 J

Mass of evaporation = 152223.6 / 2340*1000

Mass of evaporation = 0.06505 Kg =  65.05 gram

Hence, 65 grams of coffee evaporates.

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in a planetary nebula, the shell of expelled material is glowing intensely. what is the main source of energy for this glow?

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In a planetary nebula, the shell of expelled material is glowing intensely due to the UV radiations being emitted from the center of the dying star.

What is a planetary nebula?

A star that is nearing the end of its life cycle will produce a shell of gas known as a planetary nebula. These nebulae were given this name because, because of their circular form, they frequently resemble planets. Typically, the remnants of the star at its core shine on the outer layer of gas. One of the best illustrations of a planetary nebula is the Ring Nebula (M57) in Lyra.

Rarefied gas with a density of typically makes up a typical planetary nebula. The highest densities, up to 106 particles per cm3, can be found in young planetary nebulae. The density of nebulae decreases with aging due to their expansion. From 0.1 to 1 solar masses is the mass range of planetary nebulae.

Gases are heated to temperatures of about 10,000 K by radiation from the central star. The temperature of the gas is typically 16,000–25,000 K higher in the central regions than it is in the outermost regions. The area around the central star is frequently filled with a very hot (coronal) gas with a temperature of about 1,000,000 K. Fast stellar wind, a gaseous component, is produced at the central star's surface.

Nebulae can be classified as radiation-bounded or matter-bounded. The visible nebula is fully ionized in the first scenario because there is not enough stuff in the nebula to absorb all of the UV rays released by the star. The latter occurs when the core star's UV photon output is insufficient to completely ionize the surrounding plasma, and an ionization front moves outward into the circumstellar envelope of neutral atoms.

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what is the moment of inertia for rotation about an axis perpendicular to the screen that passes through the center of the square?

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The sum of the moment of inertia of two perpendicular axes passing through the same point in the object's plane determines the moment of inertia about an axis perpendicular to the plane.

What is a perpendicular axis' moment of inertia?

The sum of the moment of inertia of a plane lamina about two axes that are perpendicular to one another and both lie in the same plane (i.e., the z-axis) is equal to the moment of inertia of the plane lamina about the z-axis.

What is the axis of rotation's perpendicular to?

The vector r is always defined to run from the axis of rotation to the location where the force F is applied. It must also be perpendicular to the axis of rotation.

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consider a block of mass 0.200 kg attached to a spring of spring constant 100 n/m. the block is placed on a frictionless table, and the other end of the spring is attached to the wall so that the spring is level with the table. the block is then pushed in so that the spring is compressed by 10.0 cm. find the speed of the block as it crosses (a) the point when the spring is not stretched, (b) 5.00 cm to the left of point in (a), and (c) 5.00 cm to the right of point in (a).

Answers

Therefore, the speed of the block as it crosses,

(a) The point when the spring is not stretched = 1.93 m / s

(b) 5.00 cm to the left of point in (a) = 1.93 m /s

KE = 1 / 2 m v²

U = 1 / 2 k x²

According to law of conservation of energy,

KEi + Ui = KEf + Uf

k = 100 N / m

m = 0.2 kg

a ) The point when the spring is not stretched,

vi = 0

xi = - 10 cm = - 0.1 m

xf = 0 m

1 / 2 m vi² - 1 / 2 k xi² = 1 / 2 m vf² + 1 / 2 k xf²

0 + ( 1 / 2 * 100 * ( -0.1 )² ) = 1 / 2 * 0.2 * vf² + 0

0.5 = 0.1 vf²

vf² = 5

vf = 2.2 m / s

b ) 5.00 cm to the left of point in (a),

Here, the final values of previous scenario becomes the initial value of this scenario.

xf = - 5 cm = - 0.05 m

xi = 0

vi = 2.2 m / s

1 / 2 m vi² + 1 / 2 k xi² = 1 / 2 m vf² + 1 / 2 k xf²

1 / 2 * 0.2 * 2.2² + 0 = 1 / 2 * 0.2 * vf² + 1 / 2 * 100 * ( -0.05 )²

0.5 = 0.1 vf² + 0.125

vf²  = 0.375 / 0.1

vf = 1.93 m / s

c ) 5.00 cm to the right of point in (a),

The velocity of the block at a distance 0.05 m to left of its equilibrium position, equals its velocity at the same distance to right of its equilibrium position .

vf = 1.93 m / s

Therefore, the speed of the block as it crosses,

(a) The point when the spring is not stretched = 2.2 m / s

(b) 5.00 cm to the left of point in (a) = 1.93 m /s

(c) 5.00 cm to the right of point in (a) = 1.93 m / s

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A wheel rotating about a fixed axis with a constant angular acceleration of 2. 0 rad/s2 starts from rest at t = 0. The wheel has a diameter of 20 cm. What is the magnitude of the total linear acceleration of a point on the outer edge of the wheel at t = 0. 60 s?.

Answers

The magnitude of the total linear acceleration is null as angular acceleration is constant , i.e. α=0.

If you have the object's initial and final velocities as well as the amount of displacement and you are aware that acceleration is constant, you can solve for it instantly. Utilize the equation v² = u²+ 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement.

The centripetal acceleration is calculated by taking the body's velocity (v) and squaring it, then dividing the result by the body's distance from the circle's center.

Let represent the necessary angular acceleration for the specified rotating wheel.

The velocity and acceleration in a straight line motion are both zero when the speed is constant and the direction is not changing. In the event of a non-linear motion, if the motion is not in a straight line, a circle, or any other path where the speed and direction are constant but the speed changes over time, the velocity will not be zero and the acceleration will not be equal to zero. It would either be greater or less than zero.

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a voltmeter and an ammeter are used to respectively monitor the voltage across the current through the resistor

Answers

When a current is established in a closed conducting loop , we use ammeter. Due to this resultant potential developed detected by voltmeter.

When current flows through loop , it gets conducted. Due to this Electric field is generated . This happens due to induced magnetic field.The free electrons were at rest until current is there , still ammeter detects some deflection.This deflection is due to zero current.Due to magnetic field , current in coil changes.Mathematically, [tex]\alpha =-\frac{d\beta }{dt}[/tex]The presence of conducting loop is not necessary for having electric field.

[tex]e= -\frac{d\beta }{dt}[/tex]

[tex]e=-L\frac{d\beta }{dt}[/tex]

[tex]i= i0 \left \{ {{y=0.63} \atop {x=t}} \right.[/tex]

i=0.63 io

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what is the x -component of the electron's velocity, vx , if the minimum percent uncertainty in a simultaneous measurement of vx is 1.0%?

Answers

Given the uncertainty in the measurement of position, the velocity of the electron is 57.7 m/s.

Using the relation;

ΔxΔpx≥ℏ

where Δx is the uncertainty in the x coordinate of a particle, Δpx is the particle's uncertainty in the x component of momentum

and ℏ=h/2π

Recall that h = 6.6 × 10^-34 Js

Also, Δpx = Δmv

where, m = mass, v = velocity

Hence;

Δx Δmv = h/2π

Recall that m = mass of the electron = 9.11 × 10^-31 Kg

Δx  = 0.200 mm or 2 × 10^-4 m

Δv = h/2πΔx Δm

Δv =  

Δv = 0.577

Therefore, the uncertainty in the measurement is  1.00 %, v = 57.7 m/s

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what would occur if all of the air leaked out of one hold-off chamber while a vehicle was moving down the highway?

Answers

Spring brake would apply on the affected wheel.

When the spring brakes are on you should?When the spring brakes are engaged, never depress the brake pedal. If you do, the combined stresses of the springs and the air pressure might harm the brakes. Many brake systems are built to prevent this from happening. But not every system is set up in this way, and even those that aren't always function properly.Unlike service brakes, spring brakes are not air applied. When air pressure in the brake chamber decreases, they engage and when it increases, they disengage. Service brakes and spring brakes both employ various types of brake chambers.When the air pressure falls between 20 and 45 psi, the spring brakes will activate. Because the spring brakes do not function on all axles, a vehicle that is heavily loaded will require a long stopping distance.

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which of the following best describes why the engineer chose to calculate the permeability of the soil sample in the experimental design in order to evaluate a natural containment system to protect groundwater?

Answers

The correct option is : The sample of material chosen as the potential container material is the variable being tested, so it is the independent variable.

How to calculate the permeability of soil sample?

The height and cross-sectional area of the soil sample, the pressure measurements, the volume of the permeated water during the designated time interval, and the coefficient of permeability can all be used to calculate this.

Repeat the test three or more times, and then find the average coefficient to ensure accurate results.

In the laboratory, the constant head permeability test is used to assess the permeability of coarse-grained soils with high permeability.

The test's basic idea is to gauge the amount of water that percolates through a sample of soil in a specific amount of time, then apply Darcy's law to the discharge to determine the permeability.

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how much different is the electric potential 20 cm from a charge of 5.5 c compared to 40 cm from the same charge

Answers

123.61KV difference is the electric potential 20 cm from a charge of 5.5 c compared to 40 cm from the same charge.

electric force F=[tex]\frac{KQq}{r^2}[/tex]

electric potential V=[tex]\frac{Fr}{Q}[/tex]  

                             V=[tex]\frac{Fq}{r}[/tex]

this equation we know that [tex]V\propto \frac{1}{r}[/tex]

the point closer to the charge is higher than the point farther away.

B)   for 20cm

V=[tex]\frac{kq}{r}[/tex]

V=[tex]\frac{8.99*10^9*5.5*10^{-6}}{0.2}[/tex]

V=247.25KV

for 40cm

V=[tex]\frac{8.99*10^9*5.5*10^{-6}}{0.4}[/tex]

V=123.61KV

∴ the difference is 247.25-123.61= 123.61KV

the electric capability (additionally known as the electric discipline capability, potential drop, the electrostatic capacity) is defined as the amount of work strength had to move a unit of electric fee from a reference point to the specific factor in an electric-powered field.

the electric-powered potential is the work done consistent with a unit fee to deliver the rate from infinity to a degree in an electric discipline. the capacity distinction is the distinction between the potentials between two factors within the electric-powered discipline. electric powered ability is described as a factor. In an electrical circuit, the capability between factors (E) is defined as the quantity of labor carried out (W) by using an external agent in shifting a unit fee (Q) from one point to another. Mathematically we will say that E = W/Q.electric-powered capability is a scalar, and electric-powered discipline is a vector. The addition of voltages as numbers offers the voltage due to a combination of point costs, whereas the addition of man or woman fields as vectors offers the full electric-powered subject.

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the main difference between a radio wave and a light wave is its group of answer choices speed. frequency. wavelength. all of these two of these

Answers

The main difference between a radio wave and a light wave is its wavelength.

Gamma rays have extremely small wavelengths that are only a small portion of the size of atoms, whereas other wavelengths can extend as far as the universe because the relationship between wave frequency and wavelength is inverse. Although it isn't always stated explicitly, electromagnetic radiation's wavelengths are typically expressed in terms of the vacuum wavelength, regardless of the medium they are traveling through.

Electromagnetic radiation's behavior is influenced by its wavelength. wavelength x frequency equals the speed of light. Energy equals Planck's constant times frequency. Wave number in cm equals 1/wavelength. A rough estimate of the wavelength size is shown along with the wavelengths of various regions of the electromagnetic spectrum.

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complete the equilibrium reactions which are pertinent to an aqueous solution of ag2co3. physical states are optional. dissociation of agco3 : ag {2}co {3}(s)

Answers

Equilibrium reaction solution of ag2co3 is Ag₂CO₃(s) ⇄ 2Ag⁺(aq) + CO₃²⁻(aq). When a chemical reaction is reversible, the products react with the original reactants as soon as they are created.

What is equilibrium reaction?

When a chemical reaction is reversible, the products react with the original reactants as soon as they are created. There is no net change in the quantity of the chemicals involved when the two opposing reactions are in equilibrium because they are occurring at identical rates, or velocities.

Both the forward and the reverse reactions take place as a system gets closer to equilibrium. The forward and reverse reactions are moving at the same speed when the system is in equilibrium. The amount of each reactant and product remains constant until equilibrium has been reached.

Balanced chemical reaction 1: Ag₂CO₃(s) ⇄ 2Ag⁺(aq) + CO₃²⁻(aq).

Balanced chemical reaction 2: H₂CO₃(aq) + H₂O(l) ⇄ HCO₃⁻(aq) + H₃O⁺(aq).

Balanced chemical reaction 3: HCO₃⁻(aq) + H₂O(l) ⇄ CO₃²⁻(aq) + H₃O⁺(aq).

Balanced chemical reaction 4: H₂O(l) ⇄ H⁺(aq) + OH⁻(aq).

H₂CO₃ and HCO₃⁻ are acids and lose protons to water.

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Describe and contrast stellar orbits in the disk, halo, and bulge of our galaxy.

Answers

The stellar orbits in the disk orbit of our galaxy are organized into circles, while stellar orbits in the halo and bulge have a minor level of spatial organization.

What are the stellar orbits of the Milky Way Galaxy?

The stellar orbits of the Milky Way Galaxy refer to the movement of the stars inside the Galaxy, which mainly depends on the relative spatial position of the stars in the galaxy

The stellar orbits of our Milky Way Galaxy have different shapes in regard to their relative position which includes circular and also elliptical shapes.

Therefore, with this data, we can see that the stellar orbits of our Milky Way Galaxy depend on the position of the star in the galaxy, for example being circular in the disk region of the galaxy and having elliptical and or less organized formations in other positions.

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a 135 g meter stick rotates with an angular velocity of 3.50 rad/s about an axis perpendicular to the stick and passing through the middle of the stick. what is the magnitude of the angular momentum of the meter stick. a very good approximation of the moment of the meter stick is that of a long thin rod, i

Answers

The magnitude of the angular momentum of the meter stick is 0.0394 Kg - m²/sec

Solution:

Mass = m = 135 g = 0.135 kg

Length = l = 1 m

Moment of inertia I = 1 /12 * m l² = 1/12 * 0.135 * l²  = 0.01125kg - m²

Angular speed = W= 3.5 rad /sec

Angular momentum = L = I W = 0.01125 * 3.5 = 0.0394 Kg - m² / sec

The magnitude of the angular momentum of a body in orbit is equal to the linear momentum multiplied by the vertical distance r from the center of rotation to a line drawn through the body's center of gravity in its instantaneous direction of motion. increase. The direction of angular momentum vector is directed along the axis of rotation given by the right-hand rule.

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what is the magnitude of the average emf induced in the coil? express your answer numerically, in volts, to at least three significant figures.

Answers

The magnitude of the average emf induced N= 220 in the coil is 4.10347 X 10⁻⁴ v.

Assume ,

N = 220

Area = 13 . 2 cm²

t = 4. 60 x 10⁻² sec

B = 6. 50 X 10⁻⁵ T

( a )

∅initial = NBA cosθ

=220 X 6 . 50 x 10⁻⁵ x 13 . 2 x 10⁻⁴x cosθ

1.8876X 10⁻⁵  T.m²

∅After= NBAcosθ

=220 X 6.50 x 10⁻⁵ x 13.2x 10⁻⁴x cob 90

( b )

∈=|-Δ∅B/Δt|

=1.8876 * 10⁻⁵/4. 60 x 10⁻²

=4.10347 X 10⁻⁴ v

An attribute of a mathematical object that determines whether it is bigger or smaller than other objects of the same kind is its magnitude or size. Formally speaking, an object's magnitude is the visible outcome of the class of objects it belongs to's ordered results.

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4 A uniform rod of length 60 cm has a weight of 14 N. It is pivoted at one end and held
in a horizontal position by a thread tied to its other end, as shown in Fig. 4.17.
The thread makes an angle of 50° with the horizontal. Calculate:
a the moment of the weight of the rod about the pivot,
b the tension I in the thread required to hold the rod horizontally.
pivot
A Figure 4.17
60 cm
50°
AT

Answers

The moment of the weight of the rod about the pivot = 4.2 Nm

The tension in the thread required to hold the rod horizontally = 8.96 N

What is tension?

Tension is described as the pulling force transmitted axially by a cord, rope, chain, or similar object, or through the ends of a rod, truss member, or similar three-dimensional object. It can also be described as pairs of acting and reaction forces acting at each end of the element.

Moment of weight = weight × the perpendicular distance from the axis of rotation to the line of action

M = w × r

w = 14N

r = 30 cm or 0.3 m

M = 14 × 0.3

M = 4.2 Nm

Tension = Applied force × cosθ

T = mg  × cosθ

mg = 14N

θ = 50°

T = 14 × 0.64

T = 8.96 N

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star a has higher luminosity than star b, but is farther away. which has higher apparent brightness?

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One can compare the brightness by noting that star an appears brighter than star b.

How bright are stars?One can compare the brightness by noting that star an appears brighter than star b. The quantity of light emitted by a star is referred to as its brightness, and we can see it from Earth.The distance between us and the star has a significant impact on the brightness of the star.A basic feature to use for determining a star's age is its brightness.In conclusion, it is possible to compare the brightness because star an appears to be brighter than star b.

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In an amusement park ride called The Roundup, passengers stand inside a 16.0m -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure.
Part A) Suppose the ring rotates once every 3.60 s. If a rider's mass is 55.0 kg, with how much force does the ring push on her at the top of the ride?
______N
Part B) Suppose the ring rotates once every 3.60 s. If a rider's mass is 55.0 kg, with how much force does the ring push on her at the bottom of the ride?
_____N
Part C) What is the longest rotation period of the wheel that will prevent the riders from falling off at the top?
_____seconds

Answers

At the summit, the ring pushes the rider with a force of 801N.

Centripetal force and force equilibrium are ideas needed to address the challenges.

Calculate the rider's velocity by first multiplying the period by the round-up wheel's complete circumference. The centripetal force acting on the rider may then be calculated using the velocity. The normal force may then be calculated using the force equilibrium.

The radius of a circle is,           r=[tex]\frac{d}{2}[/tex]

Here,

d is the diameter of the circle

The circumference of a circle is,  C= 2πr

The speed is the total distance covered in a given time. The speed is,

v=[tex]\frac{x}{t}[/tex]

here,

x is the distance covered and t is the time taken

The centripetal force acting on a body moving in a circular path is,

[tex]F_{c}[/tex]=[tex]\frac{mv^{2} }{r}[/tex]

Here,

m is the mass of the body.

The weight of a body is, W=mg

g is the acceleration due to gravity.

step: 1

Part A

The radius of the wheel is, r=[tex]\frac{d}{2}[/tex]

Here, d is the diameter of the wheel

d=16.0m

r=16/2

r=8m

The circumference of the wheel is, c=2*(3.14rad)*(8m)

                                                           c= 50.3m

The speed of rider is,   v=[tex]\frac{C}{T}[/tex]

                                      v=50.3/3.60

                                      v= 14.0m/s

The centripetal force acting on the rider is,   [tex]F_{c}[/tex]=[tex]\frac{mv^{2} }{r}[/tex]

                                                          [tex]F_{c}[/tex]=55 * 14/8

                                                         [tex]F_{c}[/tex]=1.35*10³

The weight of the rider is,            W=mg

                                                       W=55*9.81

                                                       W=5.40*10²N

The force equilibrium at the top of the wheel is,

-F -W = - [tex]F_{c}[/tex]

F is the force that the ring pushes the rider.

Rewrite the equation in terms of the force that the ring pushes on the rider at the top. The force is,            F= [tex]F_{c}[/tex]-W

                                                           F=(1.35*10³N)-(5.40*10²N)

                                                            F=801N

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What are the 5 main functions of the circulatory system?.

Answers

The five main functions of the circulatory system are to carry oxygen and nutrients to cells, remove waste from cells, regulate body temperature, fight infections, Protection against infection and disease and Maintenance of blood pressure and volume.

The first function of the circulatory system is to transport oxygen and nutrients to cells. The second function of the circulatory system is to remove waste from cells. Blood carries away waste products such as carbon dioxide, lactic acid, and urea. The third function of the circulatory system is to regulate body temperature. Blood vessels act as a medium to transport heat. The fourth function circulatory system plays an important role in protecting the body from infection and disease. The circulatory system is an integral part of the human body that is responsible for transporting nutrients, oxygen, and hormones.

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water enters the pump of a steam power plant as saturated liquid at 20 kpa at a rate of 57 kg/s and exits at 6 mpa. neglecting the changes in kinetic and potential energies and assuming the process to be reversible, determine the power input to the pump. use steam tables.

Answers

The power input to the pump is 347 KW

How to calculate power input ?

Firstly we express the power input to the pump

[tex]W_{m} =m(\int\limits^2_1 {V} \, dp +del Ka+del pe)[/tex]

where, Wm is power input to pump m is mass flow rate, V is specific volume, dP is change in pressure while ΔKa and Δpe are change in kinetic and potential energy respectively.

For a reversible process, ΔKa  and Δpe are negligible

[tex]W_{m} =m(\int\limits^2_1 {V} \, dp +0+0)[/tex]

[tex]=mV_{1} (P_{2} -P_{1} )[/tex]

Using the saturated water-pressure table, the volume of saturated liquid water (V) at a pressure of 20KPa is [tex]0.001017 m^{3}/ kg[/tex]

we substitute 57 kg/s for m, [tex]0.001017 m^{3}/ kg[/tex] forr V, 6,000 KPa for [tex]P_{2}[/tex] and 20KPa in

[tex]W_{m} =mV_{1} (P_{2} -P_{1} )[/tex]

[tex]W_{m} =57*0.001017*(6,000-20)\\=346.65 m^{3} /s\\=347 KW[/tex]

Therefore, the power input to the pump is 347 KW

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a car moving at 12 m/s crashes into a tree and stops in 0.24 s. calculate the magnitude of the average force in newtons which the seat belt exerts on a passenger in the car to bring him to a halt. the mass of the passenger is 60 kg.

Answers

The force which the seat belt exerts on a passenger is - 3000 N. Here minus sign indicates force was against the motion.

Given ;  The velocity is v = 12 m/s

and the time = 0.24 sec

Since he crashes in the end , thus the final velocity = 0 m/s

Weight = 60 kg

To calculate : The average force

We will use the formula :

ΔP = FΔT

p = mv

that is initial momentum = final momentum

F = [tex]\frac{m(final velcoity - initial velocity)}{time}[/tex]

F = 60(0 - 12 ) / 0.24

On further solving we get

F = - 720 / 0.24

F = - 3000N

Thus the force which the seat belt exerts on a passenger is - 3000 N

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