A plane convex lens is made of glass (n = 1.5) with one flat surface and the other having a radius of 20 cm. what is the focal length (in cm) of the lens?

The correct answer 322mm/s^2.

The growing x-axis, symbolised by i shows the direction of the velocity. Since integration and differentiation can be used to solve problems of this nature, it is recommended for students to study and comprehend their fundamental processes.

v=300mm/s

a_t=dv/dt=0

y=20(10^3)/x ____(1)

For x=200

dy/dx|x=200 = - 20(10^3)/(200)^2

dy/dx|x=200=-0.5

Now differentiating equation (1) with respect to x again

d^2y/dx^2|(x=200)=40(10^3)/(200)^3

d^2y/dx^2|(x=200)=5(10^-3)

Write the expression of ρ.

ρ=(1+(dy/dx)^2)^3/2/|d^2y/dx^2|

substitute the values,

ρ=(1+(0.5)^2)^3/2/5(10^-3)

ρ=279.5mm

Write the expression of the radial acceleration.

a_n=v^2/ρ

a_n=(300mm/s)^/279.5mm

a_n=322mm/s^2

Understand that the tangential acceleration is zero. Thus, write the expression of the net acceleration.

a=√a_t^2+a_n^2

a=√((0mmm/s^2)^2+(322mm/s^2)^2

a=322mm/s^2

Understand that the given information,

dy/dx=-0.5

tanθ=-0.5

θ=26.6(anticlockwise)

Draw the calculated vector on the curve.

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No, the words can be interpreted in one way only:

* If the word is consisting of only a's, it can be factored in one way as groups of (aa).

* If there is a single b (or the first b), then

if there is an even number of a's (including 0) before the b, this b is denoted as the start of (baa) and the a's before it is factored in one way as groups of (aa).

if there is an odd number of a's before the b, this b is a part of (aba) and the a's before it is factored in one way as groups of (aa).

* If there is a second b, then if the first b was denoted as a part of (baa), then if there is an even calculated numbers of a's between the b's, then

the second b is part of (baa), and the a's in between are factored in just one way as groups of (aa).

if there is an odd number present that is a's between the b's, then

this second b is denoted as a part of aba, and the a's in between are factored to be in one way as groups of (aa).

if the first b was part of (aba), then

if there is taken to be an even number of a's between the b's, then

the second b is part of (aba), and the a's in between are factored in one way as groups of (aa).

if there is an odd number of a's between the b's, then

the second b is a part of (baa), and then the a's in between are factored in a one way denoted as groups of (aa).

The same argument can be used for words containing more than 2 b's.

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The take my largest plastic shopping bag square between the light source and the wall

Rays of light can travel through the cardboard when I hold my largest cardboard square between the light source and the wall, but because the cardboard is not very thick, the light can still pass through and create a shadow.

Do cardboard sheets block light?

Based on the precise materials and light sources that were employed, the results of the cardboard experiment frequently differ.

Keep in mind that it is generally expected that reflective materials, such aluminium foil and mirrors, would reflect the specified or given light.

Since the cardboard is not very thick, light rays do penetrate when I hold my largest cardboard square between the light source and the wall. As a result, the cardboard tends to cast a shadow when held in this position.

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Chlorine is likely to form an ionic bond with potassium.

A chemical bond is a strong bond that can be formed between atoms, ions, or molecules to generate chemical compounds. The bond may be created by the sharing of electrons in covalent bonds or by the electrostatic attraction of two oppositely charged ions, as in ionic bonds.

The main interaction in ionic compounds is ionic bonding, a type of chemical bonding that involves the electrostatic attraction between two atoms or ions with dramatically differing electronegativities.

When a metal and a non-metal react, an ionic bond is created.

To establish an ionic bond, the metal loses electrons (donates them), whereas non-metals receive electrons (accept them).

Chlorine (Cl) is a non-metal, whereas potassium is a metal. As they interact to create an ionic bond, potassium donates one electron while chlorine accepts one.

The correct option is (A).

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The volume of soybean oil displaced by the boat to float is 0.00011 liters or 1.1 x 10^-4 liters.

An object floating in a liquid follows Archimedes’ Principle.

According to the Archimedes Principle, the amount of fluid displaced by the body is equal to its weight.

So, the buoyant force applied by the liquid should be equal to the weight of the bowl.

Hence

Weight of bowl = Buoyant Force of Soybean Oil

Mg = V(ρ)(g)

Here V = volume of soybean oil

ρ = density of soybean oil

1.05 = V x 917 x 9.8

The volume(V) comes out to be 0.00011 liters.

Thus, the volume of soybean oil displaced by the bowl to float is 0.00011 liters or 1.1 x 10^-4 liters.

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the splitting of a large nucleus into smaller nuclei is the phrase that describes radioactive decay

The process through which an unstable atomic nucleus loses energy through radiation is known as radioactive decay, also known as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration. A substance with unstable nuclei is regarded as radioactive decay

The complete question is

Which phrase describes radioactive decay? (1 point)

the triggering of one reaction by the products of another

the joining of small nuclei into a laroid nucleus

o the splitting of a large nucleus into smaller nuclei

o the spontaneous emission of radiation

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The Moment of Inertia of skater of mass 58 Kg with approximated radius of 0.102 m will be 0.301 kg m².will be 0.301 kg m².

We have a 58 kg skater who is approximated as a cylinder that has a radius of 0.102 m.

We have to determine the Moment of Inertia of the of the skater.

Moment of inertia is the property of the body by which it resists angular acceleration. The general formula of Moment of Inertia is given by -

I = Σ m[i] r[i]².

According to the question -

Mass of skater = 58 Kg

Radius = 0.102 m

Now, the moment of inertia of the cylinder about the axis of cylinder is -

I = 1/2 MR²

I = 0.5 x 58 x 58 x 0.102 x 0.102

I = 1682 x 0.010404

I = 0.301 kg m²

Hence, the Moment of Inertia of skater of mass 58 Kg with  approximated radius of 0.102 m will be 0.301 kg m².

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The total entropy generation is 0.67 kJ/K

Since there is no increase in the temperature of the gas, so according to the 1st law of thermodynamics

δQ=dU+δW

⇒ δQ=δW=200KJ

Then here dU is zero because the temperature is constant.

Now, S2−S1=∫[tex]\frac{δQ}{T}[/tex]+ Sgen

Here as it can be seen, there is no increase in the temperature of the gas. So, here we apply the first law of thermodynamics.

∴ S2−S1=0

⇒ Sgen= [tex]-\frac{(-200)}{(27+273)}[/tex] = [tex]\frac{200}{300}[/tex] = 0.67kJ/K

The first law of thermodynamics expresses that the entire energy of the universe remains the same. Even though the energy can be exchanged between the system and its surroundings, it can never be created not destroyed.

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Answer:

B. No, it has completely different properties

Explanation:

Sodium Chloride itself is not an element, but an ionic compound composed of two different elements.

1562.2 photons per second enter the dark adapted eye has a pupil from the star.

A waveform signal's wavelength, which is the distance between two identical locations (adjacent crests) in the succeeding cycles, determines whether it is sent over space or via a wire. In wireless systems, this length is frequently specified in metres (m), centimetres (cm), or millimetres (mm) .

energy of each photon

E = hc/ lamda

E = 3.61 * 10 to power -19J

N, the number of photons that enter each second

NE = P

N = P/E

N = 1562.2 photons/sec

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The location of the car after 11 seconds will be 445.05 m.

Mass of the car = 1550 kg

The momentum of the car = 46000

Distance of the car = 275 m

The velocity of the car is,

Momentum = Mass × Velocity

M = m × v

[tex]v = \frac{M }{m}[/tex]

[tex] = \frac{46000}{1550} [/tex]

= 29.67 m/s

The velocity of the car is 29.67 m/s.

The location of the car after 11 seconds will be,

[tex]Velocity = \frac{ Distance}{ Time}[/tex]

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

d = v × t

= 29.67 × 15

= 445.05 m

Therefore, the location of the car after 11 seconds will be 445.05 m.

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A transverse wave travels along a string. where are the points of maximum kinetic energy.

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There is a induced current in the conducting loop shown in the figure. According to the Lenz law, the magnetic field inside the loop is decreasing in strength.

State Lenz law.

The induced electromotive force (emf) with different polarities induces a current whose magnetic field opposes the change in magnetic flux through the loop in to ensure that the original flux is maintained throughout the loop when the current flows in it.

How is Lenz’s law conservation of energy?

Lenz’s law is based on the law of conservation of energy. The induced current is always opposed by the cause that produces it. Hence, there is extra work done against the opposing force. The work done against the opposing force results in the change in the magnetic flux and hence the current is induced. Hence the law of conservation of energy is satisfied.

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By using vector

a. the distance traveled is 12 kilometres

b. the resultant displacement is (7 i + 5 j) kilometres

We need to know about vectors to solve this problem. Vector has magnitude and also direction. Displacement is included in vector. It can be written as

s = sx i + sy j + sz k

where s is displacement, sx is displacement on x-axis, sy is displacement on y-axis and sz us displacement on z-axis.

From the question above, we know that

east = positive x

south = negative y

west = negative x

north = positive y

s1 = 7 j

s2 = 5 j

The distance traveled is

s = s1 + s2

s = 7 + 5

s = 12 kilometres

The resultant displacement is

s = s1 + s2

s = 7 i + 5 j

s = (7 i + 5 j) kilometres

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Answer:

Q = I t            charge * time where I = charge / time

Q = V * C     where Q is the charge stored on capacitor C

V C = I t

V = I t / C = 75 C/s * 60 sec / 2.9 farad = 1552 Volts

Note: farad = Coul / (J / Coul) = Coul^2 / J

They happen at subduction zones, where shifting mineral assemblages appear to "implode" as a result of increased pressure on the rock as it is subducted deeper.

The notion that is currently preferred is "Implosion." The building blocks often reorganize to take up less space as subduction zones move rocks deeper where pressure is stronger, moving from, say, a one-on-top-of-another pattern to a fit-in-the-gap-between-those-below pattern. This might sometimes seem to happen gradually before happening abruptly (I can't move till my neighbor does...), resulting in an implosion. Where temperatures and pressures are just so high that we don't imagine rocks can break, the largest, deepest earthquakes occur. Nowhere near as deep as the earthquakes, humans have never dug a hole. Atomic bomb testing has mostly ended. A large earthquake is also much larger than a large atomic weapon.)

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Height above the top of Tom's window the ball was dropped= 1.31m

Given that,

The height of window (s) = 1.50m

Time(t) = 0.240s

We have to find the height, and for this, we have to find the velocity using the equation of motion:

s = ut  + 1/2 g[tex]t^{2}[/tex]

By putting the value of h and t in the  equation

1.50 = u × 0.240 + 1/2 × 9.8 × [tex]0.240^{2}[/tex]

1.50 = u × 0.240 + 0.28224

u = (1.50 - 0.28224) / 0.240

u= 1.21776 / 0.240

u=  5.074

Now we have to calculate height by using the formula

[tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2gh

By putting the value of u and v we get

[tex]5.074^{2}[/tex] = 0 + 2 × 9.8 × h

h = [tex](5.074)^{2}[/tex]/ 2 × 9.8

h = 1.31 m

Therefore the height is 1.31 m above the window.

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The complete question is:

A ball is dropped from an upper floor, some unknown distance above Tom's apartment. As he looks out of his window, which is 1..50 m tall, Tom observes that it takes the ball 0.240 s to traverse the length of the window. Determine how high ℎ above the top of Tom's window the ball was dropped. Ignore the effects of air resistance.

A car, travelling at 25 m/s, starts to accelerate uniformly at [tex]3m/s^2[/tex]for 80 m.

The final velocity will be:

[tex]\sqrt{1105} m/s[/tex]

How to find the final velocity?

We will use Newton's third law.

[tex]v^2-u^2=2as[/tex]

where,

v = final velocity

u = initial velocity

a = acceleration

s = distance

Substituting the values, we get:

[tex]v^2=480+625=1105\\v=\sqrt{1105}[/tex]

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According to the current, the charge is 72,000 coulombs.

We need to know about current to solve this problem. Current can be defined as the flowrate of charge through the medium. It can be determined as

I = Q / t

where I is current, Q is charge and t is time.

From the question above, we know that

I = 10 A

h = 2 hours = 2 x 3600 second = 7200 second

By substituting the given parameters, we can calculate the charge

I = Q / t

10 = Q / 7200

Q = 72,000 coulombs

Hence, the charge is 72,000 coulombs.

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It has been demonstrated that modified sports, in which the equipment and rules are altered to improve skill performance, foster skill learning and may even boost participation.

The sport is replicated in a modified game, although some of the regulations are altered. Limited touches or time with the ball, a smaller field or court, different-sized balls or goals, or the obligation to defend repeatedly are some examples of modified rules. Like any other sport you may have played, such as basketball or football, modified sports feature regulations that have been modified to take into account the talents and abilities of older or less mobile participants. Depending on the skills of the participants who want to participate, modified sports can be altered.

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The instrument, other than a thermometer, that works using the principle of thermal expansion is thermostat.

Thermostat is made up of two metals with differing expansion coefficients, Inver and Brass.

We employ it in an electrical device, it is straight at room temperature, if there is a short-circuit or any other issue and the circuit temperature suddenly rises, the thermostat's temperature will rise as well.

Thermal expansion, which typically excludes phase transitions, is the tendency of matter to change its area, volume, shape and density in response to a change in temperature. The material's coefficient of linear thermal expansion typically fluctuates with temperature and is calculated as the relative expansion divided by the change in temperature.

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If the current is 6A and the voltage is 420 V, the resistance is 70ohms.

Resistance is the opposition offered by an electrical conductor to the flow of a current through itself, resulting in a conversion of electrical energy into heat and radiation.

The resistance of a current can be calculated using the following formula;

V = IR

Where;

According to this question, a current of 6 A and the voltage of 420V is given. The resistance is as follows:

420 = 6 × R

R = 420/6

R = 70 ohms

Therefore, If the current is 6A and the voltage is 420 V, the resistance is 70ohms.

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Astronomer who introduced the most widely accepted hypothesis regarding the origin of the solar system was Immanuel Kant in 1755.

The Solar System is gravitationally bound system of the Sun and objects that orbit it. It formed 4.6 billion years ago from gravitational collapse of a giant interstellar molecular cloud. The vast majority (99.86%) of system's mass is in the Sun, with most of the remaining mass contained in the planet Jupiter. Four inner system planets—Mercury, Venus, Earth and Mars—are terrestrial planets, being composed primarily of rock and metal. Four giant planets of the outer system are substantially larger and more massive than the terrestrials.

The two largest, Jupiter and Saturn, are gas giants, being composed mainly of hydrogen and helium; next two, Uranus and Neptune, are ice giants, being composed mostly of volatile substances with the relatively high melting points compared with hydrogen and helium, such as water, ammonia, and methane. All eight planets have nearly circular orbits that lie near the plane of the Earth's orbit, called the ecliptic.

There are an unknown number of smaller dwarf planets and the innumerable small Solar System bodies orbiting the Sun. Six of the major planets, six largest possible dwarf planets, and many of the smaller bodies are orbited by natural satellites, commonly called "moons" after Earth's Moon.

Two natural satellites, Jupiter's moon Ganymede and Saturn's moon Titan, are larger but not more massive than Mercury, smallest terrestrial planet, and Jupiter's moon Callisto is nearly as large. Each of the giant planets and some smaller bodies are encircled by the planetary rings of ice, dust and moonlets. The asteroid belt, which lies between orbits of Mars and Jupiter, contains objects composed of rock, metal and ice. Beyond Neptune's orbit lie Kuiper belt and scattered disc, which are populations of objects composed mostly of ice and rock.

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Answer:it take light sun jupitor bang ding ow 3 seconds beofre bang bing boom

Explanation:

The average distance between a planet and the sun is given by the Semimajor axis of its elliptical orbit.

All the planets present in our Solar System travel around the Sun in an elliptical orbits. Semimajor axis of its elliptical orbit is the longest semidiameter or one half of the major axis of the elliptical orbit.

The distance between the Sun and the planets can be easily calculated using the Equation of Motion. The average distance between Earth and the Sun, which is about 150 million kilometers. The average distance between a planet and the sun is given by the Semimajor axis of its elliptical orbit.

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Newton's second law does apply to a situation in which there is no net force as having a net force of zero will produce an acceleration having 0.  

According to Newton's second law, the acceleration of an object depends upon two variables- the mass of the object and the net force acting on the object. Here, the acceleration of an object is directly proportional to the force acting on it and inversely proportional to the mass of that object. The net force applied is equal to the sum of all the forces acting on an object.

In a situation where the net force applied is zero, the object having a mass would have zero acceleration. This means that the object would have zero velocity and would be constant.

This depicts that Newton's second law can be applied to every situation where there is a net force applied, or not. Even if there is no net force, this law can still be applied.

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An ionized plasma can be created in cyclotron with the help of superimposition of static magnetic field and electromagnetic field.

Plasma is superheated matter. It is so hot that the electrons are ripped away from the atoms forming an ionized gas. It comprises over 99% of the visible universe.

Given in the question is about Plasma, which is also fourth state of matter.

Scientists are trying to create Plasma in cyclotrons. Cyclotron is a device that propels a beam of charged particles in a circular path. It is also called particle accelerator. Electron cyclotron resonance (ECR) occurs when the natural frequency of the rotating electrons coincides with the frequency of incident radiation. One method to produce ionized plasma is to superimpose a static magnetic field with the high frequency Electromagnetic field at the electron cyclotron resonance frequency.

Therefore, an ionized plasma can be created in cyclotron with the help of superimposition of static magnetic field and electromagnetic field.

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Average atomic mass = f1M1 + f2M2 +… + fnMn

where f is the fraction representing the natural abundance of the isotope and M is the mass number (weight) of the isotope.

let x be the fraction of ^6li  ,

then fraction abundance of [tex]^7li[/tex]  will be (1-x)

now applying above equation:

6.941 = x × 6.0151  +(1-x) 7.0160

1.0009x = 0.075

x = 0.0749

so % of [tex]^6li[/tex]= 7.49%

% of [tex]^7li[/tex]= 92.50%

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Answer

1/2 m v^2 = m g H        by conservation of energy for an object fired straight up or

H = v^2 / (2 * g)

For an object traveling at 45 deg then

Vy = V sin 45 = 2^1/2 / 2 * V

So now

H = 1/2 * v^2 / (2 * g) = v^2 / (4 * g)

and the projectile will travel H / 2 instead of H

The deceleration of a snowboarder going up is 1.8 m / s²

We know that,

F = m * a

[tex]f_{k}[/tex] = μ[tex]_{k}[/tex] * [tex]F_{N}[/tex]

F = Force

m = Mass

a = Acceleration

[tex]f_{k}[/tex] = Kinetic frictional force

μ[tex]_{k}[/tex] = Co-efficient of kinetic friction

[tex]F_{N}[/tex] = Normal force

θ = 5°

μ[tex]_{k}[/tex] = 0.1

Since the snowboarder is going up the hill at an angle of 5°, the weight of the snowboarder does not align with the traditional y-axis direction. So resolving the weight into horizontal and vertical components.

sin 5° = - [tex]W_{x}[/tex] / W

[tex]W_{x}[/tex] = - W sin 5°

cos 5° = - [tex]W_{y}[/tex] / W

[tex]W_{y}[/tex] = - W cos 5°

[tex]f_{k}[/tex] = 0.1 ( [tex]W_{y}[/tex] )

[tex]f_{k}[/tex] = - 0.1 ( W cos 5° )

Σ [tex]F_{x}[/tex] = m [tex]a_{x}[/tex]

[tex]W_{x}[/tex] + [tex]f_{k}[/tex] = m [tex]a_{x}[/tex]

- W sin 5° - 0.1 ( W cos 5° ) = m [tex]a_{x}[/tex]

- W ( sin 5° + 0.1 cos 5° ) = m [tex]a_{x}[/tex]

- m g ( sin 5° + 0.1 cos 5° ) = m [tex]a_{x}[/tex]

- 9.8 ( sin 5° + 0.1 cos 5° ) = [tex]a_{x}[/tex]

[tex]a_{x}[/tex] = - 1.8 m / s²

Deceleration is the negative acceleration. When an object slows down it has deceleration. Kinetic friction is the frictional force created due to an object's motion.

Therefore, the deceleration of a snowboarder going up is 1.8 m / s²

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