Induction charging is a method used to charge an object without actually touching the object to any other charged object.the process by which an object receives a static charge when placed near a second charged object is known as

Answer:

k = 65.3 N/m

Explanation:

Fs = Fg = mg = (1.0 kg)(-9.8 m/s²) = -9.8 N

x = 15 cm = 0.15m

Fs = -kx  (Hooke's Law)

-k = Fs/x = (-9.8 N)(0.15 m) = -65.3

k = 65.3 N/m

The magnetic field for this wave is

[tex]B(x, t)=(9*10^{-8}T )i sin[2\pi (1.5*10^{-8}x-2*10^{14}t )][/tex].

Electromagnetic Wave:

The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves or EM waves. In other words, magnetic and electric fields oscillate to form electromagnetic (EM) waves.

Given,

         Frequency of the wave;  [tex]f=[/tex] [tex]2*10^{14} Hz[/tex]

         The amplitude of the Electric Field;  [tex]E_{0} = 27 N/C[/tex]

We know that Maxwell's equation is given by,

                                      [tex]\frac{E_{0} }{B_0} =c[/tex]        .....................(1)

Where,

         [tex]E_{0} =[/tex] The amplitude of the electric field

         [tex]B_{0}=[/tex] The amplitude of the magnetic field

            [tex]c=[/tex] The velocity of light = [tex]3*10^{8} N/m^{2}[/tex]

By solving equation (1), we get

                                     [tex]B_{0} =\frac{27}{3*10^{8} }[/tex]

                                      [tex]B_{0}=9*10^{-8}[/tex]

We know that,

         Angular frequency; ω [tex]= 2\pi f[/tex]

The equation of the magnetic field can be given by

                  [tex]B_{0}sin(kx-\omega t) =B_{0}sin(2\pi (\frac{x}{\lambda}-ft ))[/tex]

                  [tex]B_{0}sin(kx-\omega t)=9*10^{-8} sin(2\pi (\frac{x}{\lambda}-2*10^{14} t))[/tex].

Hence,

         The magnetic field for this wave is

                        [tex]B(x, t)=(9*10^{-8}T )i sin[2\pi (1.5*10^{-8}x-2*10^{14}t )][/tex].

Learn more about Electromagnetic Wave here

https://brainly.com/question/13874687

#SPJ4

The final velocity equations for elastic collisions is

[tex]$\begin{aligned}& u_1=\frac{3}{2} v_i \\& u_2=\frac{1}{2} v_i\end{aligned}$$[/tex]

A collision between two bodies in physics is referred to as an elastic collision if their combined kinetic energy stays constant. There is no net conversion of kinetic energy into other forms, such as heat, noise, or potential energy, in an ideal, fully elastic collision.

Lat their final speeds of bouncing back are u_1 and u_2 As the collision is clastic, e=1So,u_1+u_2=v_i+v_i=2 v_i

From momentum conservation, 3 m v_i-4 m v_i=4 m u_2-3 m u_1

[tex]$$\begin{aligned}& \Rightarrow \quad-2 v_i=4 u_2-3 u_1 \\& \Rightarrow 3 u_1-5 u_2=2 v_i-\text { (2) }\end{aligned}$$[/tex]

From (1) and (2),

[tex]$$\begin{aligned}u_1+u_2 & =3 u_1-5 u_2 \\\Rightarrow 2 u_1 & =6 u_2 \Rightarrow u_1=3 u_2\end{aligned}$$[/tex]

From (1),

[tex]$3 u_2+u_2=2 v_i$[/tex]

[tex]$$\text { and } \begin{aligned}\Rightarrow u_2 & =\frac{1}{2} v_i \\u_1 & =3 u_2=\frac{3}{2} v_i .\end{aligned}$$[/tex]

So,

[tex]$$\begin{aligned}& u_1=\frac{3}{2} v_i \\& u_2=\frac{1}{2} v_i\end{aligned}[/tex]

To learn more about momentum conservation visit:https://brainly.com/question/3920210

#SPJ4

When two bags of oranges are dropped from a roof at the same time, of which one has two oranges and the other has 14, (d) The force acting on bag one and the force acting on bag two are the same.

Lighter bag and Heavy bag fall at the same time and same rate in vacuum because there is no air resistance and the acceleration in free fall doesn't depend on the mass of the object.

Gravitational force= GMm/R^2

G= gravitational constant(6.67/10^11)

M=mass of Earth

m= mass of object

According to Newton's second law of motion

F=ma

GMm/R^2 = ma

Mass of object gets cancelled. So acceleration of doesn't depend on mass of object.

To know more about Acceleration:

https://brainly.com/question/13508820

#SPJ4

The horizontal component of the earth's magnetic flux density at point P is approximately 0.43 T.

To determine the location of point P, where the magnetic field due to the current-carrying wire is equal and opposite to the earth's magnetic field, we can use the equation for the magnetic flux density of a long, straight wire:

B = μ0 × I / (2 × π × r)

We are given that the distance from the center of the wire to point P is 1.9 cm and the current in the wire is 1.7 A. Therefore, we can solve for the value of the horizontal component of the earth's magnetic flux density at point P:

B = μ0 × 1.7 A / (2 × π × 0.019 m)

= 4π × [tex]10^{-7}[/tex] × 1.7 A / (2 × π × 0.019 m)

= 0.43 T

Learn more about the magnetic field at

https://brainly.com/question/23096032?referrer=searchResults

#SPJ4

No, the activation energy for a forward reaction is not equal to the activation energy for the reverse of the same reaction.

In order for compounds to undergo a chemical reaction, a certain amount of energy is required, known as the activation energy. The unit of measurement for a reaction's activation energy (Ea) is either joules per mole (J/mol), kilojoules per mole (kJ/mol), or kilocalories per mole (kcal/mol). You can think of activation energy as the size of the potential barrier between the minima of the potential energy surface related to the initial and final thermodynamic states, which is also referred to as the energy barrier. If the system temperature is high enough, there should be a sizable number of molecules with translational energies that are equal to or higher than the activation energies.

Learn more about  activation energy here:

https://brainly.com/question/11334504

#SPJ4

The roller coaster is going with 15.34 m/s when it reaches the bottom.

Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another.

According to the question, potential energy of the roller coaster at initial position = mass * acceleration due to gravity* height = mgh

Let the speed of the roller coaster at the bottom = v.

So, kinetic energy at the bottom = 1/2 * mass * speed^2 = 1/2 mv^2

From conservation of energy:

mgh = 1/2mv^2

v= √( 2gh)

= √( 2 × 9.8 × 12) m/s

= 15.34 m/s.

Hence, the speed of it at the bottom is 15.34 m/s.

Learn more about energy here:

https://brainly.com/question/1932868

#SPJ1

The change in the kinetic energy of block A is 1,837.5 J.

The change in the kinetic energy of the blocks as it moves through the given distance is the work done in overcoming the force of friction.

Based on the law of conservation of energy, the equation is given as;

ΔK.E = W (f)

Where;

W (f) = μmgd

where;

The change in the kinetic energy of the block A is calculated as follows;

W (f) = μmgd

W (f) = 0.25 x 50 x 9.8 x 15

W (f) = 1,837.5 J

Thus, the change in the kinetic energy of block A is a function of work done by force of friction along the incline.

Learn more about change in kinetic energy here: https://brainly.com/question/1932411

#SPJ1

The probability mass function is obtained as:

[tex]p(x=x)=12 c_x \quad(0.4)^x(1-0.4)^{1 x-x} ; x=0,1,2 \ldots .12[/tex]

Outcome is,

[tex]n=12 \\ p=0.4[/tex]

Let X be discrete random variable which takes value [tex]$i=1,2 \ldots$[/tex].

Now the probability of mass function at point is is given by:

[tex]p(x=p)=p\left(x_i\right)=F\left(x_i\right)-F\left(x_{(i-1)}\right)[/tex]

By using Bernoulli's random variable:

[tex]P(x=x)=p^x(1-p)^{1-x} x=0,1[/tex]

where as [tex]$x=0 \Rightarrow$[/tex] corresponds to failure

[tex]$x=1 \Rightarrow$[/tex] correspond to Success

p is probability function of Success.

Therefore the total number of Success in ' n ' independent Bernoulli trials is Sum of ' n ' bernoulis random variable which gives binomial distribution.

By using multiplication rule the probability of observing ' x 'Successes in ' n ' independent bernoulli trials it can be written as:

[tex]\underbrace{p \times p \times \ldots \times p}_{x \text { times }} \times(\underbrace{() 1-p) \times(1-p) \times \ldots \times(1-p)}_{n-x \text { times }}[/tex]

The probability mass function :

[tex]p(x=x)=12 c_x \quad(0.4)^x(1-0.4)^{1 x-x} ; x=0,1,2 \ldots .12[/tex]

where as

[tex]n=12 \\ p=0.4[/tex]

For more such question on probability.

https://brainly.com/question/25839839

#SPJ4

Note:- The question is as follow,

Consider the probability space [tex]$(S, M, P)$[/tex] that models the observed proportion of successes in n independent Bernoulli trials with probability of success equal to p. For example, given n=12 and p=0.4, the outcome [tex]\frac{5}{12}=.41 \overline{6} \:in $(S, M, P)$[/tex] should have the same probability as the outcome of 5 successes in 12 independent Bernoulli trials with probability of success equal to 0.4. Give a formula for the density function f(s) for this probability space in terms of the density [tex]$f_{n, p}$[/tex] of the binomial distribution with size n and probability p. ( points)

If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Torque will likewise be 0 at that point.

Given that, a rectangular coil of wire, 22 cm by 35 cm and carrying a current of 1.95 A, is oriented with the plane of its loop perpendicular to a uniform 1.50 T magnetic field.

The strength of magnetic torque on the current-carrying circle is given by the below formula, if θ is the angle between A and B. Then we have

τ = I AB sin θ

When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.

Then θ = 0°

Then we have,

τ = I AB sin 0° = 0

The question is incomplete. The complete question is 'Find out the torque in the coil.'

To know more about torque:
https://brainly.com/question/27549442

#SPJ4

The required wave speed and tension in the string are 15 m/s , 0.036 N respectively.

Speed is characterized as. The pace of progress of position of an item toward any path. Speed is estimated as the proportion of distance to the time in which the distance was covered. Speed is a scalar amount as it has just course and no extent.

(a) The wave speed is given by v=λ/T=ω/k,

where λ is the frequency, T is the period ω is the precise recurrence (2π/T), and k is the rakish wave number(2π/λ).

The displacement  has the structure y=y sin(kx+ωt), so 4k=2.0m

 furthermore, ω=30 rad/s.

Hence v=(30 rad/s)/(2.0m)=15 m/s.

b) Since the wave speed is given by v= τ/μ

, where τ is the pressure in the string and μ is the straight mass thickness of the string, the strain is

τ=μv =(1.6×10 kg/m)(15 m/s) =0.036 N.

To learn more about contrast refer to:

brainly.com/question/24507709

#SPJ4

The diagram which demonstrates how crossing over contributes to genetic diversity during meiosis is referred to as option C.

This is referred to as a type of cell division in which the parent cells produce four unique daughter cells and it is mostly involved during formation of gametes and sexual reproduction.

Crossing over is a process which occurs between prophase I and metaphase I and involves the exchange of genetic material during the formation of germ cells in an organism and it results in the production of unique combinations and variation in the daughter cells.

This process is also characterized by the chromosomes of the same type being lined up before the exchange takes place which is therefore the reason why option C was chosen as the correct choice.

Read more about Meiosis here https://brainly.com/question/8253366

#SPJ1

After extinguishing a fire on the first floor of a two-story balloon-framed house, the best action for crews is to immediately open the walls and check for fire in the basement, second floor, and attic.

The vertical struts of the outer wall are continuous from the foundation to the roof with a balloon frame structure. When the roof collapses into a structure, it can provide a watertight cover over a buried fire. Heavy wood is more stable than lightweight structures in fire conditions.

Marion of the building is surrounded by balloons, from the foundation to the eaves line he extends upwards more than two stories. A mansard or mansard roof is his four-sided gambrel-style hipped roof characterized by his two slopes on either side, the lower slope pierced with dormer windows and angled more steeply than the upper.

Learn more about The basement here:- https://brainly.com/question/24386685

#SPJ4

The linear acceleration of the spool below (mass m, moment of inertia i) if it is rolling without slipping: A spool of mass m and moment of inertia I (around its center) is free to roll without slipping on a table. It has an inner radius of r and an outer radius of R.

In mechanics, acceleration is the charge of the alternate velocity of an item with recognition of time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the internet pressure acting on that item.

Acceleration, is the price at which speed modifications with time, in terms of each pace and path. A point or an object transferring in an instant line is accelerated if it quickens or slows down. movement on a circle is multiplied although the rate is constant due to the fact the path is always converting.

Learn more about acceleration here:

https://brainly.com/question/460763

#SPJ4

The lead pollution can be remediated by the appllication of the approppiate reagents.

We know that we need to always consider the threshold concentration of pollution as we are looking at the safety of the environment

Now we are told that the safe concentration of the lead must not be more than 400 ppm. Above that concentration, the effects may be quiet fatal.

There should be spirited attempts to remediate the soil by the use different methods so that the soil can become good again for the growing of crops.

Learn more about pollution:https://brainly.com/question/23857736

#SPJ1

The maximum absolute values of the shear and bending moment is 2P and 3Pₐ respectively.

(a) Diagram is shown in image.

From A to B:

+∑Fy = 0: V = -P

+∑M₁ = 0: M = -P

From B to C:

+∑Fy = 0:

-P-P-V = 0

⇒ V = -2P

+∑M₂ = 0:

Pₓ+P(x - a)+M =0

⇒ M = -2Pₓ + Pₐ

(b) The maximum bending moment occurs in a beam, when the shear force at the section is zero or changes the sign because at point of contra fixture the bending moment is zero.

Therefore

= |V|max = 2P

= |M|max = 3Pₐ

Thus, the maximum absolute values of the shear and beading moment is 2P and 3Pₐ.

-- The given question is incomplete, I answer the question in general according to my knowledge and the complete question is

"For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment." --

To know more about Absolute values

brainly.com/question/29564461

#SPJ4

Density of the object is 3333.33 kg/m³.

Density can be defined as the ratio of the mass of a body to its volume.

From Archimedes principle,

Rd = W/U = D/D'

Where Rd = relative density,

W = weight of the object in air,

U = upthrust in water,

D = Density of the object,

D' = Density of water.

W/U = D/D'

Density (D) of the solid can be calculated by the equation,

D = D'(W/U)

As we have,

W = 5.0 N,

U = 5.0 -3.5 = 1.5 N,

D' = 1000 kg/m³

Since U = lost in weight = weight in air - weight in water

D = 1000(5/1.5)

D = 3333.33 kg/m³

Thus the density of the solid object is 3333.33 kg/m³

To know more about Density,

https://brainly.com/question/28981250

#SPJ4

The image height for a converging lens with a 20 cm focal length and a diverging lens with a 38 cm focal length that are 78.0 cm apart is 1.35 cm. 40 cm are in front of the converging lens

And a 2.7 cm tall object is there. An optical lens that converges all light rays travelling through it is known as a converging lens. A converging lens  main function is to concentrate and converge the incoming light rays from an object to create an image. Depending on how close an object is to the lens, the image may be enlarged or unchanged.

h = (-di/do)(-di2/do2)*height

h = (-38/38)(-(-15))/30 (2.7)

h = -1.35 cm

Learn more about converging lens here

https://brainly.com/question/28348284

#SPJ4

The complete question is-

a converging lens with a focal length of 20 cm and a diverging lens with a focal length of -38 cm are 78.0 cm apart. a 2.7-cm-tall object is 40 cm in front of the converging lens. Calculate the image height. Express your answer to two significant figures and include the appropriate units.

The hitters final displacement from home plate is 60 m.

The displacement of an object is the change in the position of the object.

The displacement of an object is determined from the shortest distance between the initial position and the final position of an object.

The hitters final displacement from home plate is calculated as follows;

Δx = x₁ - x₂

where;

Δx = x₁ - x₂

Δx = 30 m  - ( - 30 m)

Δx = 30 m + 30 m

Δx =  60 m

Learn  more about displacement here: https://brainly.com/question/2109763

#SPJ1

The power is 20w when the work done is 500 joules in 25 seconds.

                  P = W / T

Another formula for power based on energy and time is :

Here given,

W = 500 J

T = 25 sec

By substituting,

P = W/T

  = 500 / 25

  = 20w

To learn more about power refer to :

https://brainly.com/question/1634438

#SPJ1

Answer:

work, power

Explanation:

Work = Fnet x distance

Work is NOT dependent on time

Power = Work ÷ time

The slower the work is done, the higher the power.  The faster the same amount of work is done, the lower the power.  Power, with work constant, is inversely proportional to time.

The angle from which the light rays reach your eyes is greater than the angle they would in air because air and water have virtually the same index of refraction of 1.

The refractive index of water is 4/3 that of air, and light rays are bent away from the normal when they enter air from water, therefore there is no doubt that objects are optically magnified.

A: The mass of items does not change when they are submerged in water. But because of buoyancy, they appear to feel lighter.

Learn more about refraction here:

https://brainly.com/question/14760207

#SPJ4

This radiator's Heat radiation is 12.8 W.

Provided, the temperature of the radiator θ = 30°C

So, the absolute temperature of the radiator,

T = ( θ + 273 ) K

  = ( 30 +273 ) K

  = 303 K

Also provided, the temperature of the surrounding space, T₀ = 3 K

The emissivity of the white paint, ε = 0.89

The length of one side of the radiator, L = 0.3m and the breadth, B = 0.1m.

Now, the amount of rate of  heat transfer by a system at temperature T to a surrounding space at temperature T₀ is given by the formula,

Q = σεFA(T⁴-T₀⁴).

where A is the area of the system exposed to the surrounding, F is the view factor, σ is the Stefan-Boltzmann constant = 5.67 × 10⁻⁸Wm⁻²K⁻⁴ and σ is the emissivity of the system.

Here, the surface area of the radiator,

A = LB = (0.3m) (0.1m) = 0.03 m²

According to the question, the radiator has a full view factor to the space, i.e. we can say, the view factor in this case is, F = 1.

Substituting all known values into the equation we just mentioned we get,

Q = σεFA(T⁴-T₀⁴)

   = (5.67 × 10⁻⁸Wm⁻²K⁻⁴) (0.89) (1) (0.03 m²) [ (303K)⁴ - (3K )⁴ ]

   = 12.76 W

   ≈ 12.8 W

So, the rate of heat radiation is, Q = 12.8 W

To learn more about Rate of heat radiation, Here  :

https://brainly.com/question/14809678?referrer=searchResults

#SPJ4

The displacement of the child is 36 m, northeast.

Define displacement.

Displacement is the difference between an object's starting location and any subsequent position (such as the position of a body or geometric figure). An object's position in relation to a reference frame changes when there is displacement. It is allegedly displaced. The vector quantity displacement has a magnitude and a direction.

Here, imagine

Distance travelled to east is side AB of a right sided traingle,

AB =  20m

Distance travelled to north is side BC of the same triangle ,

BC =  30m

To find total displacement is to find side AC of the above triangle,

According to Pythagorus theorem

(AC)^2= (AB)^2 + (BC)^2

(AC)^2 =  (20)^2 + (30)^2

AC = 36m

To learn more about displacement use link below:

https://brainly.com/question/321442

#SPJ1

the bitewing tab is a heavy paperboard tab or loop fitted around a periapical film or sensor and used to stabilize the receptor during exposure. true

What is stabilize?

to stop changing and fix something, especially to prevent it from getting worse, or to induce something to stop changing and fix it: These drugs reduce blood pressure and calm your heart rate.

the periapical receptor is oriented in the bite loop so that the tab portion extends from the white side (tube side) of the film or sensor.True

To learn more about stabilize visit

https://brainly.com/question/1315045

#SPJ4

a. The total dollar amount of withholdings equals to $185

b. Glenn’s net pay will be $615

This means the income an employer takes out of an employee's paycheck and remits to the federal, state, and/or local government. A technique used to collect income tax in advance is withholding tax (WHT).

Net pay is what employees earn after all payroll deductions are subtracted from their gross pay, also known as take-home pay. Your payslip will typically include information about your net salary after all deductions have been made, frequently at the bottom. Keep in mind that net pay is your salary less any deductions. This will be in accordance with the sum of money deposited into your bank account.

The total dollar amount of withholdings is:

= Income Tax + State Income Tax + Social Security Tax + Medicare Tax

= $100.00 + $45.00 +  $20.00 + $15.00 + $5.00

= $185

The amount of Net pay is:

= Gross pay - Withholdings

= $800 - $185

= $615

Read more about withholding on:

brainly.com/question/19444760

#SPJ1

(a) The growing rate of shadow when the person is 30 ft from the lamp post is 15/7 ft/m

(b) The moving rate of the tip of the shadow when the person is 30 ft from the lamp post is 50/7 ft/m

Given,

      Height of the man = 6 ft

      Height of the lamp post = 20 ft

                                        [tex]\frac{dx}{dt} =5 ft/m[/tex]

Let,

      The distance between the base of lamp and the man = x

From the geometry,

             [tex]\frac{6}{20} =\frac{y}{x+y}[/tex]

          [tex]6(x+y) = 20y[/tex]

                [tex]3x=7y[/tex]                       .......................(1)

And,

            [tex]6(\frac{dx}{dy} )=14(\frac{dy}{dt} )[/tex]

               [tex]\frac{dy}{dt}=\frac{15}{7}[/tex]

∵              [tex]\frac{dx}{dt} =5 ft/m[/tex]

∴        [tex]\frac{dx}{dt}+\frac{dy}{dt} =5+\frac{15}{7}[/tex][tex]=\frac{50}{7}[/tex]

Hence,

         (a) The growing rate of shadow when the person is 30 ft from the lamp post is 15/7 ft/m

         (b) The moving rate of the tip of the shadow when the person is 30 ft from the lamp post is 50/7 ft/m

Learn more about Height and Distance here

https://brainly.com/question/25748640

#SPJ4

Understanding an object's structure and function requires observation at a variety of wavelengths.

This is due to the fact that we have just lately been able to view the complete electromagnetic spectrum of the universe.There are objects in our universe that emit a wide variety of radiation having wavelengths either being too short or long for human eyes to see.

Astronomers can learn something distinctive about an item by examining its light at various wavelengths.Astronomers may see "the broad picture" of what's actually happening with that object by examining all available wavelengths and developing models that account for everything those photographs show.

To know more about wavelength visit:

https://brainly.com/question/4112024

#SPJ4

Playing sport is the activity in which you can be sure that athletes find great utility and is therefore denoted as option C.

This is referred to a person who competes in one or more sports such as soccer, basketball etc that involve physical strength, speed, or endurance etc.

Therefore playing sports by an athlete will lead to an increase in utility as a result of them developing various skills and composure from it in the form of endurance, strength etc and various positions on the field which isn't applicable in reading books or composing music and is therefore the reason why it was chosen as the correct choice in this scenario.

Read more about Athlete here https://brainly.com/question/27645410

#SPJ1

Answer:

Gamma Ray but read below

Explanation:

All of the types of electromagnetic radiation listed can pass through Earth's atmosphere, although some types are absorbed or blocked more easily than others.

Visible light, infrared radiation, and radio waves are able to pass through the atmosphere relatively easily, while gamma rays are more likely to be absorbed.

This is because gamma rays have a higher energy than the other types of radiation, so they are more easily absorbed by the atoms and molecules in the atmosphere.

Answer:

Gamma Rays

Explanation:

It has the highest possible frequency lowest wavelength and the most energetic charge. Its travels at the speed of light and is highly penerative