A stone ‘X’ of mass 2 kg is at the height of 20m in two minutes, calculate the power delivered. [g=10 m/s-2]

Answer:

4x + 3

Explanation:

The number of people who can go to the amusement park is 8.

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality.

Here,

The total amount they have, z = $325

Amount of parking charge, x = $11

Amount for ticket cost, y = $39.25

Let the number of people who can go to the amusement park be p.

So, the expression for the inequality can be written as,

x + yp = z

Applying the values of x, y and z,

11 + 39.25p ≤ 325

39.25p ≤ 325 - 11

39.25p ≤ 314

Therefore, the number of people who can go to the amusement park,

p ≤ 314/39.25

p ≤ 8

Hence,

The number of people who can go to the amusement park is 8.

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Write an expression for the x-component of acceleration of the given velocity field as a function of x, y, z, and/or t.

v={4yti-2xtj}m-s

We frequently wish to know an object's acceleration vector at any point along its trajectory in addition to its displacement and velocity vectors. This acceleration vector, which represents the instantaneous acceleration, may be found by taking the velocity function's derivative with respect to time, as we saw in the previous chapter. The fact that these are now vector quantities is the only variation in two or three dimensions. The same approach that was demonstrated in the previous chapter for one-dimensional motion can be used to tackle multidimensional motion with constant acceleration. As we previously demonstrated, motion in three dimensions is comparable to motion in three one-dimensional space along axes that are all perpendicular to one another.

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Answer: you are the person in charge of building a nuclear power plant in Florida. your first choice is to select a site for building the power plant.

Explanation: To find the answer, we need to know more about the nuclear power plants and the criteria to select the site for power plant.

Thus, we can conclude that, before building a nuclear power plant, our first choice should be to select a site.

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Answer: The weight of a hydraulic barber's chair with a client is 2000 N. When the barber steps on the input piston with a force of 40 N, the output plunger of a hydraulic system begins to lift the chair. Then the ratio of the radius of the output plunger to the radius of the input piston will be 7.07.

Explanation: To find the answer, we have to know more about the Pascal's law and the hydraulic lift.

                            [tex]P_1=\frac{F_1}{A_1}[/tex]

                            [tex]P_2=\frac{F_2}{A_2}[/tex]

                          [tex]\frac{F_2}{A_2} =\frac{F_1}{A_1}[/tex]

                     [tex]\frac{A_{Plunger}}{A_{piston}} =\frac{F_{Plunger}}{F_{piston}}[/tex]

                    [tex]\frac{R_{Plunger}}{R_{piston}}=\sqrt{ \frac{F_{Plunger}}{F_{piston}}}=\sqrt{\frac{2000}{40} } =7.07[/tex]

Thus, we can conclude that, the ratio of the radius of the output plunger to the radius of the input piston will be 7.07.

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If the lens in a person's eye is too highly curved, this person is suffering from: nearsightedness.

lens is a piece of transparent material (such as glass) that has two opposite regular surfaces either both curved or one curved and the other plane and that is used either singly or combined in an optical instrument for forming an image by focusing rays of light.

The lens is used to form an image of an object by focusing rays of light from the object.

Various types of lenses are :

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Coulomb law  depicts the mathematical relationship between the electric force and the charged objects.

This law states that the electric force is directly proportional to the product of the charged objects.

The electric force is also inversely proportional to the square of the distance between the charges and is denoted below:

F= kq1q2/ r²

where :

F=electric force

k=Coulomb constant

q1, q2=charges

r=distance of separation

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An example of a solid that sunlines is a billboard.

A billboard simply refers to a very large board which is usually, frequently and most of the time used for displaying advertisements

So therefore, an example of a solid that sunlines is a billboard

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The magnitude of the resultant force acting on the driver, who weighs 0.80 kN

The total amount of force acting on the object or body along with the direction of the body.

The formula for the resultant force vector is given by Newton's Second law.  F=ma.

here

speed, v = 25 m/s

radius, r = 0.15 km = 150 m

weight, w = 0.80 kN = 800 N

we know that,

W = m*g

800 = m * 9.8

m = 800 / 9.8

m = 81.63 kg

magnitude of the resultant force:

F = m*v^2 / r

F = 81.63 * 25^2 / 150

F = 340.13 N

F = 0.34 kN

hence,

The magnitude of the resultant force acting on the driver, who weighs 0.80 kN

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First electric circuit means, the circuit has elements like resistors, capacitors, and inductors along with sources. Any electric circuit comprises nodes, branches, and meshes.

The joining point of two elements is called a node. The element between two nodes is called a branch. In branch, only one series element is possible to connect but in parallel, it can have N number of elements. No branch without elements in electric circuits.

A resistor is an electrical aspect that limits or regulates the go with the flow of electrical modern-day in a digital circuit. Resistors can also be used to offer a selected voltage for an energetic device together with a transistor.

The resistor is described as. A passive electrical issue with two terminals that can be used for both limiting or regulating the glide of electric contemporary in electric circuits. the main cause of the resistor is to lessen the modern-day go with the flow and to lower the voltage in any unique part of the circuit.

A resistor works by using proscribing the float of current, it may try this in one in all 3 approaches: first off, by using a much less conductive cloth, secondly by making the conductive fabric thinner, and sooner or later by making the conductive fabric longer.

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Answer:

Electric field is defined as the electric force per unit charge. Light, X- rays, radio waves, microwaves etc. contains electric field component's in it.

Explanation:

Answered by :

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Answer:

a region around a charged particle or object within which a force would be exerted on other charged particles or objects.

If I hold a positive charge in my hand and there are positive charges of equal magnitude 1 mm to your north and 1 mm to your east then the direction of the force on the charge I am holding is towards the north-east direction.

Reasoning:

It is given that there is a positive charge in my hand. There are two more positive charges with the same magnitude. One is 1 mm far towards the east, and the other one is 1 mm far towards the north. It is required to find the direction of the force acting on the charge in my hand.

Let the magnitude of the charge in my hand is Q, and the magnitude of the other charges is q.

Thus the electric force applied on the charge in my hand due to each other is,

[tex]F=\frac{kQq}{r^2}[/tex]

Here k is the Coulomb constant, and r is the distance between the charges.

It is also known that the force on a positive charge due to another positive charge is acted outwards.

Thus, the force on the charge due to the charge on the east is,

[tex]\vec{F_1}=\frac{kQq}{( 10^{-3}\text{ m})^2}\hat{i}[/tex]

And the force on the charge due to the charge on the north is,

[tex]\vec{F_2}=\frac{kQq}{( 10^{-3}\text{ m})^2}\hat{j}[/tex]

As the forces are equal in magnitude and one is perpendicular to the other, thus the net force will be acted at an angle of [tex]45^\circ[/tex] from the north or from the north direction.

Thus the net force is acting in the north-east direction.

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Answer:

Explanation:

Mercury, the first planet from the Sun, endures drastic temperature changes from day to night. During the day, the planet is incredibly near to the Sun, with temperatures reaching 430°C.

The mechanical energy of the given flying object is 10,340 MJ. So the correct choice is 10,340 MJ.

Mechanical energy: The mechanical energy of an object is the sum of its potential energy and kinetic energy.

The formula for the mechanical energy E is:

E=K+U

where K is the kinetic energy and U is the potential energy.

Kinetic energy: The energy possessed by an object due to the motion.

The kinetic energy is given by the formula,

K=(1/2)*(mv^2)

where m is the mass of the object and v is the velocity of the object.

Potential energy: The energy possessed by an object due to its relative position from a given point.

The potential energy is given by the formula,

U=m*g*h

where g is the acceleration due to gravity and h is the height of the object from the ground.

Substitute K=(1/2)*(mv^2) and U=m*g*h in the formula of the mechanical energy to get the following formula,

E=(1/2)*(mv^2)+m*g*h

Given that m=80000 kg, h=10 km, and v=900 km/h, and the value of g is 9.8 m/s^(-2), the value of the total mechanical energy is,

E=(1/2)*(80,000 kg)(900 km/h )^2+(80,000 kg)*(9.8 m/s^(-2))*(10 km)

Note: 1 km= 1000 m and 1 km/h = 5/18 m/s. 1 MJ = 10^(6) J

E=(1/2)*(80,000 kg)*(900*(5/18) m/s )^2+(80000 kg)*(9.8 m/s^(-2))*(10000 m)

E=(1/2)*(80,000 kg)*(250 m/s)^2+7840*10^(6) J

E=2500*10^(6) J+7840*10^(6) J

E=10340*10^(6) J

E=10340 MJ

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The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.

What is the deflection angle?

A deflection angle is an angle between the onward extension of the previous leg and the line ahead.

Here,

deflection angle as laser enters the beam, B = 22.6º

refraction index of glass, n1= 1.52

refraction index of polystyrene plastic, n2 = 1.59

for the second surface,

B  = 45º - 22.6º

B  = 22.40º

According to Snell's law:

n1 sinФ1 = n2 sinФ2

sin B / sinФ = n1 / n2

sinФ = (sin 22.40º) * ( 1/ 1.59)

Ф = 37.29º

Thus,

The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.

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The new natural frequency would be ω/2.

we know that,

[tex]f = \frac{1}{2 pi \sqrt{LC} }[/tex] = ω.       -> equation 1

now, when capacitance is quadrupled,

[tex]f' = \frac{1}{2 pi \sqrt{L ( 4C )} }[/tex]

[tex]f' = \frac{1}{2 pi (2)\sqrt{LC} }[/tex].           -> equation 2

substituting value of equation 1 in equation 2 , we get,

[tex]f' = \frac{w}{2}[/tex]

Hence, the new natural frequency of the circuit is ω/2.

what do you mean by frequency ?

The resonant frequency for a particular circuit is the frequency at which this equality stands true. Where L is the inductance in henries and C is the capacitance in farads, this is the  LC circuit's resonant frequency.

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Graviton

Graviton, postulated quantum that is thought to be the carrier of the gravitational field. It is analogous to the well-established photon of the electromagnetic field.

String theory states that everything in our Universe is made up of tiny vibrating strings. These strings are one dimensional objects and are identical to one another.

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The  4 criteria you would use to compare energy sources are;

1. It is necessary to assess whether or not they are renewable.

2. It is necessary to be aware of the amount of energy that is provided per energy source unit.

3. You have to be aware of how risky it is to utilize different types of energy sources.

4. It is necessary to be aware of the effects that various types of energy sources have on the surrounding environment.

This is further explained below.

Generally,  A source from which energy that may be used can be collected or recovered, either directly or by means of a process of conversion or transformation

In conclusion, 1. You must decide if they are renewable or not.

2. You must be aware of the amount of energy provided per unit of energy source.

3. You must be aware of the safety of using various energy sources.

4. Need to understand how various energy sources affect the environment.

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The voltage across the ends of the heating element is 125 volts.

Power = 500J/s = 500 Watts. I = 4A

V*I = 500

V = 500/I = 500/4 = 125 Volts.

The difference between two points' electric potentials, also known as electric potential difference, electric potential pressure, or electric tension, is what moves a test charge between the two points in a static electric field. The derived unit for voltage (potential difference) in the International System of Units is called volt. 166 Work per unit charge is stated in SI units as joules per coulomb, with 1 volt equaling 1 joule (of work) for 1 coulomb (of charge). The quantum Hall and Josephson effect was first used to define the volt in the old SI system in 1990. More recently, fundamental physical constants have been included to the definition of the volt in the new SI system.

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The minimum coefficient of friction which allow cars to take the turn without sliding off the road is 0.617

Friction is the force resisting the relative motion of the surface sliding against each other.

here, given that

m = mass of car

The velocity of the cars, v= 60 km/h = 17 m/s

The radius of the curve, R =200 m.

The velocity of the cars on the highway curve, v' = 40 km/h = 11 m/s

In order to allow the cars to take the turn without sliding off the road, the Centripetal Force must be equal to the frictional force between the tires  of the car and road.

Centripetal Force = Frictional Force

mv²/r = μR

here

R = Normal Reaction = Weight of Car = mg

Therefore,

mv²/r = μmg

μ = v²/gr

μ = (11)² / (9.8)(200)

μ = 0.0617

hence

The minimum coefficient of friction which allow cars to take the turn without sliding off the road is 0.617

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The gas giants would have to form at a larger distance from the sun this change would that imply for the formation of our solar system.

The larger gas and ice giants have a tendency to form further from the Sun because the regions closer to the Sun are too warm for the lighter gases to condense there. The gas giants' primary characteristic is their extreme distance from the Sun. Because of this, these planets kept the majority of the gas and volatiles that made up the majority of the proto-solar nebula throughout the formation of the Solar System.

In the gas-rich debris disk that envelops a newborn star, gas giants may form. Asteroids and comets collide to form a core, and once this core reaches a certain mass, its gravitational pull quickly pulls gas from the disk to form the planet.

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You need the atomic mass of calcium, oxygen and carbo, the balanced chemical equation and the molar ratio between Calcium carbonate and calcium oxide.

1. If you know the atomic mass of the elements, you can calculate the molar mass of Calcium Carbonate (CaCO3) and the mass of Calcium Oxide (CaO).

2. The balanced equation is CaCO3 -> CaO + CO2

3. The molar ratio between CaCO3 and CaO is 1:1, which means that the descomposing of one mole of calcium carbonate produce one mole of calcium oxide.

4- The last thing you should do is to conver the 4.7 kg of CaCO3 to moles and with the molar ratio calculate the mass of CaO

Explanation:

Any confusions you may ask!

Having a flat tire is one of the predominant inconveniences of riding. A guide car jack is designed to raise the vehicle high sufficient to eliminate the flat tire.

Converting a tire is definitely an alternative bodily trauma. we need to place a few muscles in getting the lug nuts off and cranking the jack, after which you need to bend down and lift the tire. regularly, oldsters will try to do all of this in a rush to get on their way, however, it really is a mistake.

To change eliminate the flat tire. The following steps should be followed:-

Having a flat tire is one of the predominant inconveniences of riding. while a terrific spare is unavailable, you both have to call a tow truck or repair the tire ourselves. luckily, the process of fixing it yourself is noticeably sincere and requires only a few gears.

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As the temperature of the lead and helium is the same. Thus the average kinetic energy is also the same for lead and helium.

Reason:

It is given that a 5.0-kg bar of lead is placed inside a 12-L chamber filled with helium gas. The temperature of the lead and helium is the same. It is required to compare the average kinetic energy of the lead atoms and helium atoms.

The average kinetic energy is calculated as, [tex]K=\frac{3}{2} \frac{R}{N} T[/tex].

Here K is the average kinetic energy,  R is the gas constant, N is the Avogadro's number, and T is the temperature.

As the temperature is the same for both lead and helium. As a result, the average kinetic energy is also the same for lead and helium.

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The velocity when function p(t)=11 is 8 .

According to the question

The position of a car at time t  represented by function :

[tex]p(t)=t^{2} +2t-4[/tex]

Now,

When  function p(t) = 11 , t will be

[tex]p(t)=t^{2} +2t-4[/tex]

11 = t²+2t-4

0 = t² + 2t - 15

or

t² +2t-15 = 0

t² +(5-3)t-15 = 0

t² +5t-3t-15 = 0

t(t+5)-3(t+5) = 0

(t-3)(t+5) = 0  

t = 3 , -5  

as t cannot be -ve as given ( t≥0)

so,

t = 3

Now,

the velocity when p(t)=11

As we know velocity = [tex]\frac{position}{time}[/tex]

therefore to get the value of velocity from  function p(t)

we have to differentiate the function with respect to time

[tex]\frac{d(p(t))}{dt} =\frac{d}{dt} (t^{2} +2t-4)[/tex]

v(t) = 2t + 2  

where v(t) = velocity at that time

as t = 3 for  p(t)=11  

so ,

v(t) = 2t + 2  

v(t) = 2*3 + 2  

v(t) = 8

Hence, the velocity when function p(t)=11 is 8 .

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A car driving up a hill at a constant speed experiences no change in its kinetic energy while it's potential energy increases with increasing height, thus none of the options are correct.

Understanding the concept

Consider a car moving up the hill at a constant speed as shown in the figure below. The following forces act on the car:

Here as the car is moving up the hill at a constant speed, the net force exerted on the car is zero. Also, the kinetic energy of the car will not change as its velocity is constant and the potential energy will change with increasing height. Thus, none of the given options are correct.

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When you double capacitance and inductance, the new resonance frequency becomes f/2.

The resonance frequency of RLC series circuit, is the frequency at which the capacity reactance is equal to inductive reactance.

It can also be defined as the natural frequency of an object where it tends to vibrate at a higher amplitude.

Xc = Xl

which gives the value for resonance frequency:

[tex]f = \frac{1}{2\pi \sqrt{LC} }[/tex]

where;

f is the resonance frequency

L is the inductance

C is the capacitance

When you double capacitance and inductance, the new resonance frequency becomes;

[tex]f' = \frac{1}{2\pi \sqrt{2L2C} }[/tex]

[tex]f' = \frac{1}{2\pi \sqrt{4LC} }[/tex]

[tex]f' = \frac{1}{\pi \sqrt{LC} }\frac{1}{2}[/tex]

[tex]f' = \frac{1}{2} f[/tex]

Thus from above,

When you double capacitance and inductance, the new resonance frequency becomes f/2.

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Inspiratory reserve volume is the additional amount of air that can be inhaled at the end of quiet inspiration.

Inhalation : The act of drawing air into the lungs during inspiration, also known as inhalation.

By establishing a pressure differential between the lungs and the atmosphere, it is accomplished.

The diaphragm contracts toward the abdominal cavity as air enters the lungs, creating more room in the thoracic cavity for the air to fit.

Inspiratory reserve volume is the additional volume of air that can be maximally inspired after finishing a typical, quiet inspiration.

Or the volume of air that can be inhaled following a regular breath is known as the inspiratory reserve volume.

It is denoted by IRV.

In men average IRV is 3.3 L whereas in women it is about 1.9 L

Hence, Inspiratory reserve volume is the additional amount of air that can be inhaled at the end of quiet inspiration.

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All of the following are true statements about phosphor storage plate (PSP) imaging system imaging plates except they: should be autoclave.

An autoclave is a device used in industrial and scientific procedures that call for higher temperature and pressure in comparison to ambient temperature. Before doing surgery, autoclaves are used to sterilize the area. In the chemical sector, autoclaves are used to vulcanize rubber, cure coatings, and perform hydrothermal synthesis. Industrial autoclaves are employed in a variety of industrial settings, particularly in the production of composite materials. Depending on the size of the load and the contents, many autoclaves sterilize equipment and supplies by exposing them to pressurized saturated steam at 121 °C (250 °F) for 30 to 60 minutes at a pressure of 15 psi.

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While the skin has the ability to block UV light which may cause damage, it also has the ability to absorb Drugs.

Skin is the largest organ of the body. It is usually soft, and flexible outer tissue. It is involved in Protection, Sensation and Regulation. It has the ability to Block UV light through Melanin and it has ability to absorb drugs through the Dermal Absorption through the skin. It is porous and hence has the ability to absorb:

Hair follicles and the pores absorbs the best present all over the body.

Substances can enter the skin through openings, getting absorbed into the dermis where blood vessels nourish the skin.

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The planetary temperature energy balance is obtained by radiating back the absorbed radiation energy from outer-space, by the planet and thus acquiring thermal equilibrium.

What is the process of attaining thermal equilibrium by Earth?

The Stefan-Boltzmann law states that the more the temperature a planet has, the more it will radiate out to reach thermal equilibrium.

We know that outer space contains large masses of radiative energy freely distributed in its vast expanse. A small fraction of this energy is absorbed by the Earth through the atmosphere, surface land, clouds etc.

Now, radiative balance is achieved when a planet's surface continuously warms up until it reaches its peak at which point the same amount of absorbed energy can then be radiated back to space. The relative amount of energy radiated back by a planet is dependent upon the size of the planet.

A colder planet relatively absorbs lower amount of radiation energy from space. In some time, as the planet heats up enough, the energy is radiated back to the space attaining thermal equilibrium.

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