The capacity for doing work that a body possesses because of its position or configuration is known as:____.

The apparent weight of the child is 437.5 N.

The weight of a person/object moving up with an acceleration "a" is given by

W = m (g + a)

where,

W = apparent weight

m = mass of the person/object

g = acceleration due to gravity = 10 m/s²

a = acceleration of the object/person

Given,

m = 35 kg

a = 2.5 m/s²

To find,

W =?

Put the value sin the formula,

W = m (g + a)

W = 35 (10 + 2.5)

   = 35 (12.5)

   = 437.5 N

Therefore, the apparent weight of the child is 437.5 N.

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At resonance, a driven rlcrlc circuit has vcvc = 5. 0 vv , vrvr = 8. 0 vv , and vlvl = 5. 0 vv having a peak voltage across the entire circuit

For any voltage waveform, the peak voltage is the highest point or voltage value. When Pulse Width Modulation (PWM) devices, like variable frequency drives, are added to a power system with a peak voltage that is equal to the square root of two times the RMS voltage, a power quality problem results.

Find the peak voltage, for instance, if the RMS voltage is 85 V. The average voltage and maximum voltage of AC power coming from the wall are both about 110 V. Therefore, the real peak voltage is 120/0.707 = 170 V. The sinusoid's amplitude is divided in half by this. Peak-to-peak voltage (Vp-p), also known as the total amplitude, is 340 V, or twice the peak voltage.

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A gas when a fixed mass is compressed into a smaller volume then b) density increases.

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume. Density Symbol: D or ρ Density Formula: ρ = m/V, where ρ is the density, m is the mass of the object and V is the volume of the object.

Mass is the measure of object's inertia, more the mass more the inertia. It is a property of material , so it does not change with place. SI unit is 'kg'. It is a scalar quantity.

Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.

Density = mass / volume

if mass is fixed, then mass = constant

Density will be inversely related to volume

hence , on compression , volume get decreased but mass is constant hence , density will increase

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A sound wave leaves the loudspeaker. As it travels, it experiences a temporary increase in wavelength and then returns to its original wavelength.  The sound wave traveled through a helium balloon (helium is less dense than air could explain this change in wavelength

The pattern of disruption brought on by energy moving away from the sound source is known as a sound wave. Longitudinal waves are what makeup sound. This indicates that the direction of energy wave propagation and particle vibrational propagation are parallel. The atoms oscillate when they are put into vibration.

A high-pressure and a low-pressure zone are created in the medium as a result of this constant back and forth action. Compressions and rarefactions, respectively, are terms used to describe these high- and low-pressure zones. The sound waves go from one medium to another as a result of these regions being transmitted to the surrounding media.

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Answer:

Yes

Explanation:

This helps youngsters be empathetic citizens

A town's vitality may be measured by the sensation of a youth service initiative organized by a civic group or community service center. The given statement exists true.

The word "civic organization" directs to any group of people in a community whose primary mission exists to encourage civic, philanthropic, or religious causes.

Youth involvement in the development, monitoring, reporting, and evaluation of devices, tactics, and programs may increase their likelihood of experiencing.

In conclusion, the strength may be displayed in the youth service initiative of a civic organization or a community service center. It showed what young people can do when they enact together. Education and capacity development are two methods that have been shown to improve youth engagement.

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The wavelength of the wave is 23.55 rad/s.

What is a wavelength simple definition?

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

Distance b/w one crest and one trough is  λ/2 and b/w two crests or two trough it is  λ.

Therefore from 2nd crest to 6th trough the total distance

                   = 4 λ +  λ /2 => 9 λ/2

that is given as:

9 λ/2 = 24 cm

λ= 16/3 cm

V = w/k => w × λ /2pi => w = 2 × 3.14 × 20 × 3/16 => 23.55 rad/s

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Answer:

Thin film interference

use Newton's gravitational law and 2nd law .....

On Titan, the largest moon of of Saturn did the Cassini-Huygens probe land in 2004.

To find the answer, we have to know more about the Cassini-Huygens Mission.

Thus, we can conclude that, on Titan, the largest moon of of Saturn did the Cassini-Huygens probe land in 2004.

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15 HP at 240 V is the maximum size of a three-phase, 240-volt motor that can be controlled using a size 2 NEMA contactor

This is further explained below.

Generally, Size 2 NEMA contactors can only handle three-phase, 240-volt motors up to 15 horsepower at 240 volts.

In conclusion, Contactors and motor starters produced by NEMA (National Electrical Manufacturers Association) are graded according to their sizes. These sizes are categorized according to the current and power ratings that they carry.

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The instantaneous value of a sinusoidal waveform is the value of the alternating function at any particular instant.

The instantaneous value of a 10 ampere peak sine wave at 0, 30, 45, 60, and 180 degree are 0 A, 5 A, 7.07 A, 8.66 A, 0 A respectively.

From the question,

Instantaneous value is given as 10 A

The instantaneous value of a sine waveform is determined by the relation,

Instantaneous value = Peak value x sin θ

Substituting values in the above equation;

For 0°⇒

instantaneous value = 10 x sin 0°

                                = 10 x 0

                                = 0 A

For 30°⇒

instantaneous value = 10 x sin 30°

                                = 10 x (1/2)

                                = 5 A

For 45°⇒

instantaneous value = 10 x sin 45°

                                = 10 x (1/√2)

                                = 10 x 0.707

                                = 7.07 A

For 60° ⇒

instantaneous value = 10 x sin 60°

                                 = 10 x (√3 / 2 )

                                 = 10 x 0.866

                                 = 8.66 A

For 180° ⇒

instantaneous value = 10 x sin 180°

                                = 10 x 0

                                = 0 A

Hence the instantaneous value of a 10 ampere peak sine wave at 0, 30, 45, 60, and 180 degree are 0 A, 5 A, 7.07 A, 8.66 A, 0 A respectively.

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The visible radiation produced by new stars within a molecular cloud get absorbed by dust grains and heats up the cloud

A molecular cloud is an interstellar cloud of gas and dust in which molecules can form, the most common of which is hydrogen .

The formation of stars occurs exclusively within molecular clouds because of their low temperatures and high densities, because the gravitational force acting to collapse the cloud must exceed the internal pressures that are acting "outward" to prevent a collapse.

Visible radiation are absorbed by dust grains and heats up the cloud as it cannot penetrate through the cloud instead get absorbed by the cloud . Newly formed stars are visible nearby, their images reddened by blue light which got scattered by the pervasive dust.

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The maximum kinetic energy is 0.91 eV

A Work Function of a Metal is the minimum energy required to liberate an electron from a metal surface. From the formula;

hF = hf + E

Given that a Barium has a work function of 2.48eV. What is the maximum kinetic energy ?

Convert eV to Joule by multiplying by 1.6 x [tex]10^{-19}[/tex]

hf = 2.48 x 1.6 x [tex]10^{-19}[/tex]

hf = 3.968 x [tex]10^{-19}[/tex] J

If the metal is illuminated by UV light of wavelength 365nm,

E = hF = hc/λ

Where

Substitute all the parameters

hF = (6.6 x [tex]10^{-34}[/tex] x  3 x [tex]10^{8}[/tex]) / 365 x [tex]10^{-9}[/tex]

hF = 1.98 x [tex]10^{-25}[/tex] /  365 x [tex]10^{-9}[/tex]

hF = 5.42 x [tex]10^{-19}[/tex] Joule

The maximum kinetic energy will be

hF = hf + E

Make E the subject of formula

E = hF - hf

E = 5.42 x [tex]10^{-19}[/tex] - 3.968 x [tex]10^{-19}[/tex]

E = 1.452 x [tex]10^{-19}[/tex] J

Convert Joule back to eV by dividing by 1.6 x [tex]10^{-19}[/tex]

E = 1.452 x [tex]10^{-19}[/tex] / 1.6 x [tex]10^{-19}[/tex]

E = 0.9075 eV

Therefore, the maximum kinetic energy is 0.91 eV approximately

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A film of soapy water (n = 1. 33) on top of a plastic cutting board (n > 1. 33) has a thickness of 147 nm. The color that is most strongly reflected if it is illuminated perpendicular to its surface is 294nm.

When the light is reflected it experiences a half of phase change. Then, the ray will be refracted by travelling through the soapy water down due to the refractive index. It will hit the second boundary which is plastic but light does not pass through the plastic. This will again reflect with again half of a phase change.

So, the formula used is:

2t = λ / 2 +  λ / 2

Given,

refractive index of soap = 1.33

refractive index of air = 1

The relation between the thickness of the board and the wavelength used is as follows:

2t = λ / 2 +  λ / 2

where, t is the thickness

           λ is wavelength

On solving,

2t =  λ

On substituting in above equation,

2(147) =  λ

λ = 294nm

The color that is most strongly reflected if it is illuminated perpendicular to its surface is 294nm.

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The average current is 0.10 A.

Charge moving through a location on a circuit at a constant rate is called current. When numerous coulombs of charge pass over a wire's cross section in a circuit, it produces a large current. It is not necessary for a wire to be moving at a fast speed in order to have a high current if the charge carriers are tightly packed into the wire. To put it another way, many charge carriers traveling through the cross section is sufficient; they do not need to travel a great distance in a single instant. The amount of charges that flow through a cross section of wire on a circuit, as opposed to how far they travel in a second, is what determines current.

A charge of 12 c passes through an electroplating apparatus in 2. 0 min. what is the average current?

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Answer:

The toy car will fall off Katie's hands and onto the ground .

Explanation:

This happens due to gravity.

The average current density is 7.6 × 10⁵ A/m².

To calculate the current density current will be 2.4 A.

Diameter of a wire = 2mm.

The cross-sectional area of the wire is given by r = d/2

where r is the radius of the wire.  

Then, the cross-sectional area is = 0.00000314159265

                                                                   = 3.1 × 10⁻⁶ m².

         Consider a current carrying conductor, the current density depends upon  the current flow in the conductor. If the current flow in the conductor will be high then the current density will also be high. Using the average current flowing through the conductor, the average current density will be found.

Average current density j = I / A Ampere/ meter².

By substituting the values in the formula,

             j = 2.4 / ( 3.1 × 10⁻⁶)

               = 7.6 × 10⁵ A/m².

Hence, the current density can be calculated.

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The uniformitarianism states that the forces that are changing Earth's surface today are the same forces that changed Earth's surface in the past as a result of the same types of agents being present all along.

This type of doctrine talks about how the earth's geologic processes are the same as a result of the agents of weathering such as glacier, wind etc being the same in this type of scenario.

Weathering is referred to the process in which rocks are broken down into smaller particles to form soil. The agents of weathering has been the same today and in the past which makes it constant.

This is therefore the reason why Uniformitarianism was chosen as the most appropriate choice.

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The transistor is a great improvement over the vacuum tube because it is much more energy efficient is a True statement .

A transistor is a miniature semiconductor that  controls current or voltage flow and also amplifies and generates  electrical signals and  can also act as a switch/gate for them.

A vacuum tube, also called a valve in British English, is an electronic device used in many older model radios, television sets, and amplifiers to control electric current flow. The cathode is heated, as in a light bulb, so it will emit electrons. This is called thermionic emission.

Transistors consume lower power consumption , less waste heat, and are highly efficient than equivalent tubes, especially in small-signal circuits.

Vacuum tubes runs with D.C voltage which ranges from 400 V to 500 V. Vacuum tubes require much higher power than transistor device. Hence , are less efficient . This is the main advantages of the transistor.

Another advantage of transistors are that they are portable and lightweight equipment. Can operate on lower-voltage supplies for greater safety, also have lower costs and tighter clearances.

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An inductor is connected to an ac generator. As the generator's frequency increases, the current in the inductor decreases.

Inductors and chokes are basically coils or loops of wire that are either wound around a hollow tube former (air cored) or wound around some ferromagnetic material (iron cored) to increase their inductive value called inductance.

Inductors store their energy in the form of a magnetic field that is created when a voltage is applied across the terminals of an inductor.

The growth of the current flowing through the inductor is not instant but is determined by the inductors own self-induced or back emf value. Then for an inductor coil, this back emf voltage VL is proportional to the rate of change of the current flowing through it.

This current will continue to rise until it reaches its maximum steady state condition which is around five time constants when this self-induced back emf has decayed to zero. At this point a steady state current is flowing through the coil, no more back emf is induced to oppose the current flow and therefore, the coil acts more like a short circuit allowing maximum current to flow through it.

However, in an alternating current circuit which contains an AC Inductance, the flow of current through an inductor behaves very differently to that of a steady state DC voltage. Now in an AC circuit, the opposition to the current flowing through the coils windings not only depends upon the inductance of the coil but also the frequency of the applied voltage waveform as it varies from its positive to negative values.

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A proton moving at 7. 0 × 10^4 m/s horizontally enters a region where a magnetic field of 0. 10 t is present, directed vertically downward. The magnitude force acts on the proton due to this field will be 1.12 * [tex]10^{-23}[/tex] N

Magnetic force, attraction or repulsion that arises between electrically charged particles because of their motion.

Force in a magnetic field = q. ( v * B )

where

q = charge of particle = 1.6 * [tex]10^{-27}[/tex] C

v = velocity of particle = 7. 0 × [tex]10^{4}[/tex] m/s

B =  0. 10 T

Force =  1.6 * [tex]10^{-27}[/tex]  * 7. 0 × [tex]10^{4}[/tex]  *  0. 10

          = 1.12 * [tex]10^{-23}[/tex] N

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Since the rebound speed is one-half the speed it had just before hitting the floor, it will rise to 1/4 of the original height from which it was dropped; option C.

Rebound speed refers to the speed at which a body when it hits a surface is returned or rebounded to the original direction in which it comes from.

When objects are released from a height and allowed to hit the floor, some of the original energy of the object is converted to heat and sound, thus the object will rebound with a lesser speed and to a smaller height than from which it is released.

In the case of a rubber ball which is dropped on the floor. The rebound speed is one-half the speed it had just before hitting the floor.

Therefore, the height will be one-quarter the original height.

In conclusion, the rebounding of a ball is to a lesser height than the original height.

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Wavelength is Infinity

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is often defined in wireless systems in metres(m),  centimetres(cm), or millimetres(mm).

A blackbody never approaches zero, hence the wavelength of the highest intensity that a heavenly object may produce is infinite. As a celestial object's temperature rises, its overall energy output increases quickly.

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Answer:

charge passed = 1800 C

Explanation:

• We can use the following formula to calculate charge:

[tex]\boxed{Q = It}[/tex],

where:

Q = charge in Coulombs

I = current in amperes (0.5 A)

t = time in seconds (1 h = 60 min = 3600 s).

• Substituting the values into the formula:

charge = 0.5 × 3600

            = 1800 C

When a car is coasting downhill, the kinetic and potential energies are increasing and decreasing respectively.

Kinetic energy is the energy possessed by an object because of its motion, equal to one half the mass of the body times the square of its speed.

Potential energy, on the other hand, is the energy possessed by an object because of its position (in a gravitational or electric field), or its condition (as a stretched or compressed spring, as a chemical reactant, or by having rest mass).

According to this question, a car going downhill will begin to speed because there is lesser friction. This suggests that the kinetic energy increases while the potential energy decreases.

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Heat is always transferred through the movement of matter in the convection mode of heat transmission.

Heat transfer is the movement of heat from one solid or liquid item to another. Always, heat moves from one body with a greater temperature to one with a lower temperature. To put it another way, heat always transfers from a hotter body to a cooler body.

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Answer:

The temperature of the physics book increases as the chemistry book slides across it.

Explanation:

pluto

The displacement at the end of A is 1.09 mm

According to the question,

Rod's diameter, d= 20 mm

Stiffness constant, k = 55 M-N/m or,

                                 = 55 × 10⁶ N/m

Force, f = 60 kN or,

            = 60 × 10³ N

Young's modulus, E = 200 Gpa or,

                                = 200 × 10⁹ pa

We know the formula,

A=[tex]\pi d^2 /4[/tex]

By substituting the values,

     = [tex]\pi (0.02)^{2} /4[/tex]

=0.0003 m³

length, L =A×E/K

=1.14 m

hence,

The displacement be:

60×10³×1.14/0.0003×200×10³×10³×10³=1.09 mm

Displacement is  1.09 mm

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The displacement of end a is 1.09mm

given:

Rod diameter,d=20mm

stiffness constant,k=55mn/m

force,f=60kn

young modulus,E= 200gpa

we know the formula

[tex]\pi \: d {}^{2} /4[/tex]

By substituting values in the above formula

[tex] = \pi(0.02) {}^{2} /4[/tex]

[tex] = 0.0003m {}^{3} [/tex]

length L=A×E/K

=1.14m

Hence, displacement is

[tex]60 \times 10 {}^{3} \times 1.14 \times/0.0003 \times 200 \times 10 {}^{3} \times 10 {}^{3} \times 10 {}^{3} [/tex]

=1.09mm

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The factor that can have a significant influence on a planet’s surface temperature is its atmosphere.

The atmosphere plays a fundamental role in the Earth planet's temperature because it allows the entry and out of certain types of radiation that may increase the temperature.

The role of the atmosphere in the Earth's temperature is well documented because our temperature is thick and it increases its homeostatic temperature balance.

In conclusion, the factor that alters a planet’s surface temperature is its atmosphere.

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Answer:

They are:

1. Height of liquid

2. Density of liquid

3. Acceleration due to gravity

Its Scalar projection [tex]\sqrt{2}[/tex] and Vector projection 1 (i+0j+k).

We have been given two vectors <1 -1 1> and vector <1 0 1> , we are to find out the scalar and vector projection of vector <1 -1 1> onto vector <1 0 1>

We have vector a = <1 -1 1>  and vector b = <1 0 1>

The scalar projection of vector a onto vector b means the magnitude of resolved component of vector a in the direction of vector b and is given by

The scalar projection of vector a onto vector b = [tex]\frac{vector b . vector a}{|vector b| }[/tex]

                                                                             = [tex]\frac{(1-1+1)(1+0+1)}{\sqrt{1^{2} }+0+1^{2} }[/tex]

                                                                             =[tex]\frac{1^{2} + 1^{2} }\sqrt{2}[/tex]

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

The Vector projection of vector a onto vector b means the resolved component of vector a in the direction of vector b and is given by

The vector projection of vector a onto vector b .

                                    = [tex]\frac{vector b . vector a}{| vector b|^{2} }[/tex] (i+0j+k)

                                   = [tex]\frac{(1-1+1)(1+0+1)}{{1^{2} }+0+1^{2} }[/tex]. (i+0j+k)

                                   =  [tex]\frac{1^{2} + 1^{2} }{\sqrt{2} }[/tex] (i+0j+k)

                                   = 1 (i+0j+k).

Thus from the above conclusion we can say that scalar projection scalar projection [tex]\sqrt{2}[/tex] and vector projection 1 (i+0j+k).  

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