You drive for 30 minutes at 30 mi/hr and then for another 30 minutes at 50 mi/hr. what is your average speed for the whole trip?

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 mass of the block is:_force

Given, force f=8N.

acceleration (a) = 2 m/s 2. Now, a cording to

Newtons Law of force where, me mass

or,

m-Ea

= 8 = 4kg

What is force ?

In physics, a force is a power that could exchange the motion of an item. A force can reason an item with mass to alternate its velocity (e.g. moving from a kingdom of relaxation), i.e., to accelerate. force also can be described intuitively as a push or a pull. A pressure has each significance and course, making it a vector amount. it's far measured within the SI unit of newton (N). force is represented by the symbol F (formerly P).

The original form of Newton's second regulation states that the net pressure acting upon an object is same to the price at which its momentum adjustments with time. If the mass of the item is consistent, this regulation means that the acceleration of an item is without delay proportional to the internet pressure performing on the item, is in the route of the net force, and is inversely proportional to the mass of the item.

principles associated with pressure include: thrust, which will increase the velocity of an item; drag, which decreases the velocity of an item; and torque, which produces changes in rotational velocity of an item.

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The element which release most energy while gaining an electron is Chlorine.

Chlorine has a higher affinity for electrons than fluorine does, despite the fact that fluorine is intended to have halogens with higher electron affinity .Therefore, chlorine has the highest electron affinity among the all elements in the group.

When an electron is added to a neutral atom to create a negatively charged ion, how much energy is released. Only a few chemical elements, primarily the halogens, have values available since it is difficult to determine the affinities of atom’s electrons.

Low melting and boiling points characterize the halogens. They all react with hydrogen to create acids. Salts are easily formed when they react with metals. Their outer shell contains seven valence electrons.

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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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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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The tributary region of the beam CD is indicated by the shaded area. The tributary area of the beam CD has a width of B=3.6m. The CD beam's tributary area is 7.5 meters long. The concrete slab has a thickness of H=100mm.

The goal of structural analysis is to forecast how a structure will react to a set of arbitrary external loads.

The goal of the structural analysis is to determine how changes to the structure as a whole or in part will affect the ultimate limit states and service ability limit states as described in Section 8.

Establishing a sensible distribution of internal forces, moments, stresses, strains, and displacements over the entire or a portion of a structure is the goal of a structural study.

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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.

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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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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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.

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

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To study vectors it is best to select a coordinate system and manipulate it in that coordinate system and the component of A in x is 0.9396 while in y it is 0.342.

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

A vector has magnitude and direction so we can form a vector coordinate system and manipulate each vector in that such that it will be clear to study all vectors.

Given the vector A,

Magnitude |A| = 1 units

The angle of inclination from the x-axis is 20°.

Component of A in the x-axis ⇒

|A|cos20° = 1(0.9396) = 0.9396

Component of A in the y-axis ⇒

|A|sin20° =1(0.342) = 0.342

Hence "The component of A in x is 0.9396 while in y it is 0.342".

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Given question is incomplete with the missing image attached below;

The changes of energy in an electrical train as it approaches a station and breaks to halt are potential energy → friction → heat and sound

- → friction on train wheels due to brakes reduces KE of train to zero

- → heat and sound to surroundings

Energy, according to scientists, is the capacity for work. The ability to transform energy from one form to another and use it to perform tasks is what makes modern civilization possible. People utilize energy to travel by foot and bicycle, drive vehicles on land and in water, prepare meals on stoves, create ice in freezers, illuminate our homes and workplaces, create goods, and launch people into space.

Energy comes in a wide variety of forms, including:

These energies can be divided into two categories for working energy:

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The change in the momentum of the balls is -8 kg.m/s.

The initial momentum of the balls is calculated as follows;

Pi = 4 kg(4 m/s) + 2 kg(2 m/s)

Pi = 20 kg.m/s

Pf = 2 m/s (4 kg + 2 kg)

Pf = 2 m/s (6 kg)

Pf = 12 kg.m/s

ΔP = Pf - Pi

ΔP = 12 kg.m/s - 20 kg.m/s

ΔP = -8 kg.m/s

Thus, the change in the momentum of the balls is -8 kg.m/s.

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The complete question is below:

What is is the change in momentum of the balls?

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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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

The correct answer is 1.07m.

The area surrounding an electric charge where its impact may be felt is known as the electric field. When another charge enters the field, the presence of an electric field may be felt. The electric field will either attract or repel the charge depending on its makeup. Any electric charge has a property known as the electric field. The charge and electrical force working in the field determine the strength or intensity of the electric field.

Here, is the charge per unit length, r is the distance from the wire, and

is the free space permittivity  ε_0. Electric field due to the long straight wire is,

E= λ/2πε_0r

Rearrange the equation for r.

r=λ/2πε_0E

Substitute 2.41 N/C for E,

E=1.44×10^-10C/m

λ=8.85×10^-12C^2/Nm^2

r=(1.44×10^-10C/m)/(2(3.14)(8.85×10^-12C^2/Nm^2)(2.41N/C))

r=1.07m

At a distance of 1.07 m the magnitude of electric field is 2.41 N/C.

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the maximum e-component of an electromagnetic wave is 600 v/m then the maximum b-component is B = 2.0 * 10^-6 T.

In terms of science, electromagnetic radiation is made up of electromagnetic field waves that are travelling through space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, light, and radio waves. These waves are all a component of the electromagnetic spectrum.

Em/Bm = c

Bm = c*Em

B = E/c

B = 600 V/m / 299,792,458 m/s

B = 2.0 * 10^-6 T

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

Explanation:

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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The average time between two drops falling t = 2/5 sec.

To calculate average time use formula,

t + t / product

So,

given,

time = 20 s

drops = 50

average time = ?

From this,

measured time for 50 drops = 20sec

Time required for 1 drop = 20/ 50

Average time between two drops = (2/5 + 2/5) / 2

Hence,

The average time between two drops t = 2 / 5

Average Time on Page is a web analytics metric that gauges how long, on average, all website visitors stay on a single page. Only the average amount of time that users spend on non-exit pages is measured by this metric, which ignores exit pages and bounces.

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YES both sides of the single magnet attracted to the metal surface because metals are not paramagnetic magnets, temporary magnetism can be induced in metal by bringing a magnet close to it . The pole of metal surface will be such that it is attracted by the magnet.

From result: A1 and A2 both side of magnet attract to metal surface.

when one magnet is removed from stack, magnetic poles of stack will not change because stack consist of many mgnet , after removing one magnet from stack pole strength of stack will reduce but pole of stack will remain same.

From result:

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Initial most propble speed Vi= [tex]\sqrt 2RT/M[/tex]

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We have the given equation as [tex]\frac{7x}{(x+6)(3x+2)}[/tex] that we have to convert through partial fraction decomposition.

The partial fraction decomposition or partial fraction expansion of a rational fraction in algebra is the process of expressing the fraction as the product of a polynomial (possibly zero) and one or more fractions with a simpler denominator.

A rational fraction is defined as one that has a polynomial as both the numerator and the denominator.

We have to find the form of the partial fraction decomposition of the function.

The given rational function has two factors in multiplication form in the denominator.

Also, the degree of the numerator is less than the denominator. Hence, the form of partial fraction decomposition of the function is:

[tex]\frac{7x}{(x+6)(3x+2)}[/tex] = [tex]\frac{A}{x+6} + \frac{B}{3x+2}[/tex]

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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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