A job is done slowly, and an identical job is done quickly. Both jobs require the same amount of.... but different amounts of...

(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

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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

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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.

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.

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Answer:

Liquid water one flowed on mars,the existence of nutrients,and the previous discovery of a past magnetic field that protected the planet from cosmic and solar radiation.

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].

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The speed of the to stick together blobs immediately after colliding will be 2m/s.

Given that:

Mass of first blob = 4kg = m1

Velocity of blob = 8m/s = v1

Mass of second blob = 12kg = m2

Velocity of blob = 0m/s = v2

To find:

Final velocity = Vf

Formula to be use:

(m1*v1) + (m2*V2) = Vf(m1 + m2)

(4*8) + (12*0) = Vf(4+12)

32 + 0 = Vf(16)

32 = Vf(16)

Vf =  2m/s

So the speed of two blobs immediately after colliding = 2m/s

V1: (m1-m2/m1+m2)

u1 + (2m2/m1+m2)

u2 V2: ( 2m1/m1+m2) u1 + (m2-m1/m1+m2) u2 Assume that mass 1 has an initial velocity of u1, a final velocity of v1, a mass 2 beginning velocity of u2, and a mass 2 final velocity of v2.

V1 stands for the volume of stock solution required to create the new solution. M1 = Stock solution concentration. The total volume of the solution is V2.

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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

It is true to say that If a cable originates inside one building and leaves the building, the landlord loses control of that cable.

Cable originating from one building to another building will have total control by the landlord from which the cable have passed. Since cable passes from one building to another building in that case some part of cable is not inside the building due to that control over the cable is distributed between more than one type of landlords .Worms can be spread through means other than direct network .Now, when it passed between the two building, in that case if one landlord did some changes in some part of cable then that change will not be controlled by the landlord who live in other building.

Hence, given statement is true.

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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]

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One end of an object has a definite positive charge, which is an instance of inverse-square or a positive or negative state that reacts to an electric field.

A positive or negative energy is what?

A fundamental characteristic of some of the constituent particles, of which all matter is made, is electric charge.

Electric charges come in two different flavours.

(+) positive charges

adverse charge (-)

A negative charge is present when there are more electrons than protons in an item.

When an atom has more protons than electrons, it has a positive charge.

Protons have a positive charge, whereas electrons have a negative charge.

The coulomb is the unit of charge (C).

Similar charges repel one another.

Similar charges are drawn to one another.

The positive charge produces an electric flux.

The negative charge is the point where electric flux ends.

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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.

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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.

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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

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In cases when the stairway is straight, the width of the landing in the direction of travel must at least match the stair's width and cannot be greater than 1219mm.

The four main axes are north, south, east, and west. A map is a representation or drawing of the entire or a portion of the surface of the earth done to scale and on a flat surface. A spherical shape, however, cannot be totally flattened. Distance, direction, and symbol are the three elements that make up a map.

Most maps have an arrow with the letter "N" on them in the upper right-hand corner. North is indicated by this arrow's orientation. It is referred to as the north line. You can determine which direction is east, west, or south once you know which way is north. The four main axes are North, South, East, and West. ​

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The magnetic field of the earth is produced in part by the flow of hot liquid iron near the earth's core.

A magnetic field is defined as the field that is being created or produced by a magnetic material which permits the action of magnetic force.

The innermost part of the earth is made up of the earth core which is surrounded by an outer part.

The outer core of the earth is mostly made up of liquid iron and nickel.

Therefore, the magnetic field of the earth is produced in part by the flow of hot liquid iron near the earth's core.

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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.

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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

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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.

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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

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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.

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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.

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Spectroscopy. distances up to about 10,000 light years.

Astronomical distance is the measurement of space between objects in the universe. It is usually measured in light years, which is the distance light travels in a year. Astronomical distance is incredibly vast and hard to comprehend, as it is measured in trillions of miles. Astronomical distance is used to measure distances between objects in the universe such as stars, galaxies, and planets. Astronomical distances are also used to measure the size of the universe, as well as the age of galaxies and stars. Astronomical distances can be measured using advanced instruments such as telescopes and spectroscopes. Astronomical distances are essential for understanding the structure of the universe and the evolution of galaxies and stars.

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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.

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If a conductor is in electrostatic equilibrium near an electrical charge i.e. the correct option is, B) The electric field inside the conductor must be zero.

The conductor in electrostatic equilibrium has characteristics such as a zero electric field inside and excess charges that are located on the surface. Therefore, the conductor's internal electric field must be zero.

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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.

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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]

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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)

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." --

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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

(a)The velocity (Xv) of the craft as measured from the earth is given as follows:

Vx = v¹x+v/1+( v¹x+v/c²) = 0.79∝ + 0.550c/1+(0.79c)(0.550c)

= Vx = 0.434c

Hence Vx is the velocity of the craft with respect to the mother ship and the velocity of the mother ship with respect to earth.

(b) distance between craft and earth, as measured by the mother ship as follows.

[tex]L0 = \sqrt[L]{\frac{1-V^{2} }{C^{2} } } = (0.160ly)\sqrt{1-(\frac{0.550}{c})^{2} }[/tex]

L0 = 0.1336ly.

(c)The velocity of craft with respect to earth as measured from the mother ship is as follows:

VCO = Vcmt + Vme

= 0.790 + 0.550 = 1.34c

Time taken by craft to land on earth as measured by the mother ship is as follows:

t =  0.1336ly/1.34 =  0.0997yr

(d) Time taken by craft to reach earth as measured from the earth is as follows:

t = 0.60ly/0.934c

t = 0.171yr

(e) Time taken by the craft to reach earth with respect to its rest frame is as follows:

to =[tex]\sqrt[t]{1-\frac{v^{2} }{c^{2} } }[/tex]

= 0.171 yr [tex]\sqrt{1-\frac{(0.934c)^{2} }{c^{2} } }[/tex]

to = 0.0610yr

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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

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