you need to design a 60.0-hz ac generator that has a maximum emf of 5145 v. the generator is to contain a 160-turn coil that has an area per turn of 0.94 m2. what should be the magnitude of the magnetic field in which the coil rotates?

The final velocity is 163.04m/s.

Solution:

Use equation x = 1/2at^2

402.3 = 5a(4.9360^2

A = 33.03m/s^2

Final velocity

V = Vo +at

= 0 + 33.03(4.936) = 163.04m/s

Velocity is the rate of change of position with respect to time, and acceleration is the rate of change in velocity. Both are vector quantities, but velocity is in meters/second and acceleration is in meters/second squared. Determines the height from which the object fell. Multiply the height by the acceleration of the object due to gravity.

Acceleration is the rate of change of velocity over a specified time. Calculate acceleration by dividing the change in velocity by the change in time. People mistakenly believe that the terminal velocity of a falling object is zero because the object stops as soon as it hits the ground. In physical tasks, terminal velocity is the velocity just before touching the ground. Objects no longer free fall when colliding with the ground.

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Position in equilibrium As the mass moves in the direction of x=+A, the greatest velocity occurs so at equilibrium position (x=0).

Q can be used to anticipate the direction of a reaction's equilibrium shift. In the event that K > Q, a reaction will proceed and transform reactants into products. If K Q, the reaction will go the other way and convert reactants into products. In the event where Q = K, the system

When all forces acting on a mechanical system are equal to zero, it is in equilibrium. Learn how to calculate the equilibrium position of such a mass oscillating on even a spring as well as the factors that influence it on this page.

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Using the concepts of moment of inertia, we got that moment of inertia increases by 4  times for all round object (sphere, disk, hoop for example) on doubling only the radius.

We know very well that, moment of inertia of the following object are

where m is the mass of the object and r is the radius of the object.

We see that moment of inertia is directly proportional to the radius of the object.

It means when we double the radius, then moment of inertia increases by 4 times of its previous value.

Hence, a round object (sphere, disk, hoop for example), doubling only the radius of the object changes its moment inertia by a factor of 4 times.

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The time period of the wave is 2.5 seconds. Option C

How is the duration of a wave defined?

Since frequency and wave period are inversely proportional, the wave period can be calculated using the following formula:

                                                  T = 1/f

                                                  T = λ /v

where T is the time period in seconds, f is the wave frequency, is the wavelength in meters, and v is the speed in meters per second.

Time is divided into periods by the quantity of oscillations. Two oscillations are shown in the diagram. By counting the wave's crests one by one starting at the 0s point, this may be seen. Two oscillations end in five seconds. 2 divided by 5 equals 2.5 seconds.

Hence, Option c) 2.5 is correct.

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The force does the ring push on her at the top of the ride is 489.37N.

When an object with mass is pushed or pulled, it changes its velocity, according to the definition of force.

Given,

Ring rotates (T) = 5.50 s

Mass m= 51.0 kg

The velocity will now be determined as,

V = 2πr/T

V = 2π8/5.50

V = 50.54/5.50

V = 50.54/5.50

V = 9.134m/s.

By bringing the forces into balance,

N = mv²/R - mg

N = m (v²/R - g)

N = 51(9.134²/8 - 9.8)

N = 51(83.42/8 -9.8)

N = 489.37N

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The wavelength of an electron is 215.5nm.

A description of the de Broglie wavelength is as follows:

The formula for wavelength is = h/mv, where h stands for Planck's constant, m for mass, and v for velocity.

The equation p = h/λ, where h is the Planck constant and is the wavelength, expresses the De Broglie relation, which states that there is a correlation between an electron's wavelength and momentum.

The wavelength of a wave is the distance between its two subsequent crests or troughs.

h = 6.62607015 × 10⁻³⁴ joule second.

m =9.11 x 10 ⁻³¹Kg

v = 2.963 x 10⁶m/s

λ = h / ( mv)

λ = 6.62607015 × 10⁻³⁴/9.11 x 10 ⁻³¹×2.963 x 10⁶

λ = 2.155×10⁻⁷

λ = 215.5nm.

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The initial speed of car A is 15.18 m/s.

Momentum is defined as mass in motion. If there are two objects (the two objects in motion or only one object in motion and the other in stationary) that collide and no other forces work in the system, the law of momentum conservation applies in the system.

p=p'

pa+pb = pa'+pb'

(ma×va) + (mb×vb) = (ma×va') + (mb×vb')

(ma×va) + (mb×vb) = (ma×va') + (mb×vb')

(1,783×va) + (1,600×0) = (1,783×8) + (1,600×8)

(1,783×va) + 0 = 14,264+12,800

(1,783×va) = 27,064

[tex]va \:=\: \frac{27,064}{1.783}[/tex]

va = 15.18 m/s

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First Quarter phase is the moon in when it rises around noon.

During the first quarter phase, the western half of the Moon is illuminated to resemble the letter "D." The Moon rises at noon that day and sets at midnight. When the Moon is in its waxing gibbous phase, it is mostly bright, and the illuminated area is egg-shaped (gibbous), with the eastern edge shadowed.

Lunar phases are the many phases of the moon. The sun's light is reflected by the moon, which does not produce any light of its own. New moons occur when the distant side of the moon is illuminated by sunlight. A new moon is visible when it reflects from a side that is close to it.

The moon goes through eight phases: new moon, waxing crescent, first quarter, full moon, waxing gibbous, third quarter, and declining crescent.

It takes the moon 29.5 days, or roughly one month, to go through all of these phases. This cycle of the moon changing phases is known as the lunar cycle.

Gibbous phases appear when more than half of the moon is illuminated, while crescent phases occur when just half is lighted.

Waxing is an increase in illumination, whereas waning is a reduction.

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When the energy in a system is transformed, the total amount of energy in the system is always conserved.

The changing of one form of energy into another, or the movement of energy from one place to another. An energy transformation is a change of power from one form to another. Fire (Chemical energy Heat and Light) Electric lamp (Electrical energy Heat and Light), Microphone (Sound Electrical energy), Wave power (Mechanical energy Electrical energy). Energy transformation is also known as energy regeneration which is a process of changing energy from one form to another. Energy transformations are procedures that convert energy from one type, for example, kinetic, gravitational potential, and chemical energy.

So we can conclude that an energy transformation is the change of energy from one form to another.

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A person shakes a sealed, insulated bottle containing coffee for a few minutes, then the change in the temperature of the coffee increases slightly.

The temperature of the coffee increases when insulated bottle is sealed and shaken because the exchange of heat from the surrounding from the thermos bottle is zero. From the first law of thermodynamics, the work done on system is equal to the change in internal energy.

As thermos flask is insulated, therefore no heat energy is added to the system,

Therefore, △Q=0

Work is done  by shaking it against viscous force.

Now, △w=−ve

Internal energy , △U=△Q−△w=0−(−△w)

△U=+△w

So, △U=+ve

Hence, temperature of the system increases due to the increase in internal energy.

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The time taken for the orange to return is 0.96 s.

We know that if an object is thrown up or down that we have to look at the equations of kinematics under gravity so as to be able to obtain the velocity of the object or the time taken.

Now;

v = u - gt

v = final velocity

u = initial velocity

g = acceleration due to gravity

t = time taken.

Thus;

v = 0 m/s at the maximum height so;

u = gt

t = u/g

t = 4.73/9.8 m/s^2

t = 0.48 s

In order to go up and return;

2( 0.48 s) = 0.96 s

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A system's Center of Mass won't change if no external forces are applied to it, which means no forces from sources outside the system.

In a uniform gravity field, the phrases "center of mass" and "center of gravity" are interchangeable to refer to the particular place in an item or system that can be used to describe how the system reacts to outside forces and torques. The idea of the center of mass is to calculate the average mass by dividing it by the distance from a fixed location.

Because no external force actuated on the system or any of its components, C.M. velocity is zero (0) for this problem. Although it is true that the two people exerted pressures on themselves, these forces were internal (i.e., produced by system components themselves) and as a result, the system Center of Mass was unaffected.

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Answer:

Explanation:

Given:

m₁ = 90.0 gram = 0.090 kg

L₁ = 75 cm = 0.75 m

L₂ = 45 cm = 0.45 m

__________________

m₂ - ?

Lever balance (rule of moments):

M₁ = M₂

F₁·L₁  = F₂·L₂

m₁·g·L₁  = m₂·g·L₂

m₁·L₁  = m₂·L₂

Mass:

m₂ = m₁·L₁ / L₂

m₂ = 0.090·0.75 / 0.45 = 0.150 kg    or   150 gram

Answer:

3, 4, 1, 2

Explanation:

The number of poles that the two machines should have in order to convert a 50-hz power to 60-hz is a 10 pole synchronous motor must be coupled to a 12-pole synchronous generator.

n = 120 f / P

n = Speed of synchronous machine

f = Frequency

P = Number of poles

For motor,

f = 50 Hz

n = 120 * 50 / Pm

For generator,

f = 60 Hz

n = 120 * 60 / Pg

To accomplish the frequency conversion, the speed of the motor and generator must be equal. So,

120 * 50 / Pm = 120 * 60 / Pg

Pg / Pm = 6 / 5

Pg / Pm = 12 / 10

Therefore, to accomplish the frequency conversion, a 10 pole synchronous motor must be coupled to a 12 pole synchronous generator.

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Attraction between people is Gravitation while people and earth is Gravity.

Every body in the universe attracts every other body with a force called force of gravitation. The attraction between sun and earth , attraction between table and chair lying in a room ..etc. are examples of gravitation. Gravitation is the weakest of four basic forces in nature. However , its most important force as it has its contribution in initiating the birth of stars and controlling the structure and evolution of entire universe.

Gravity is the special case of gravitation. If one of the attraction body is earth then gravitation is gravity.

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Answer: thermal energy, density

Explanation:

The relationship of kinetic energy is that when mass increases or velocity increases, kinetic energy will increase also.

Kinetic energy equals half of the product of mass and the square of the velocity. Kinetic energy is the energy that occurs when the body is in motion. The unit of kinetic energy is joule (J). The kinetic energy increases with an increase in mass and the square of velocity.

The kinetic energy also increases with an increase in the thermal energy of the particles. When the temperature increases, the average kinetic energy also increases and hence, the thermal energy of the molecules also increases. The kinetic energy increases with the decrease in density or volume of the object.

Hence, Kinetic energy increases with an increase in the mass of the object and the velocity of the object.

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A proton and electron separated by 1.0 x 10-10 meters exert 1.0 x 10-47N of gravitational force on each other.

The gravitational force will bring together any two mass-containing objects. The gravitational force is described as attracting because it consistently tries to draw masses together and never tries to push them apart. In reality, you and every other item in the universe are pulling toward one another.

What is the origin of gravity?

All of the mass on Earth is what creates gravity. The cumulative gravitational attraction of all of its mass exerts pressure on all of the body's mass. Your weight is determined by that. Furthermore, your weight would be lower if you were on a planet with a lower mass than Earth.

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The resistance of the light bulb has the power of 40 W is 722.5 ohms

The power of the light bulb = 40 W

The maximum voltage of the lightbulb = 170 V

Therefore, the resistance of the light bulb can be found using the formula,

                        P = V² / R

where P is the power of the lightbulb

           V is the voltage of the lightbulb

           R is the resistance of the lightbulb.

Let us re-write the above equation in order to get the value of the resistance,

                    R = V² / P

Let us substitute the known values in the above equation, we get

                   R = (170)² / 40

                      = 28,900 / 40

                      = 722. 5 ohm

Therefore, the resistance of the light bulb is 722.5 ohms.

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The angle of the rope makes with the vertical when the ball's kinetic energy is halved is 14.78°.

Parameter

When the ball is pushed horizontally and moves from point A to point B where the ball's kinetic energy halves, the law of conservation of energy applies.

Mechanical energy at A = Mechanical energy at B

Epa + Eka = Epb + EKb

Eka - Ekb = EPb - Epa

[tex]Ek_A -\frac{1}{2}Ek_A = mgh_B - mgh_A[/tex]

[tex]\frac{1}{2}Ek_A = mg \: (h_B - h_A)[/tex]

[tex]\frac{1}{2} \times \frac{1}{2} m v_A^2 = mgh[/tex]

[tex] \frac{1}{4} v_A^2 = gh[/tex]

[tex]gh = \frac{1}{4} \times 1.3^2[/tex]

gh = 0.4225

[tex]h = \frac{0.4225}{9.8}[/tex]

h = 0.043 m

Look at the picture

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The force exerted continuously on a specific object in a direction parallel to the direction of the acceleration caused in the body is referred to as a constant force.

A massive body will accelerate or alter its velocity at a constant rate when a constant force is applied to it, according to Newton's second law. In the simplest case, when a force is applied to an object at rest, the object accelerates in the direction of the applied force.

In order to verify that the physical equations are valid, we employ a set of fundamental invariant values called physical constants. These constants are mostly seen in nature and in broad physical study.

The force of gravity is an excellent illustration of a constant force. An object's mass times its gravitational acceleration on Earth always equals the force of gravity acting on that object (9.81ms2 9.81 m s 2 ).

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This can be calculated by using motion equations, The distance covered on the runway before coming to rest

Initial speed is 180 km/hr = 50 m/s

time took to come to rest is = 30 sec

so we can write, here we are assuming that there is no frictional force is applied externally or internally to the system.

u = 50 m/s

v = 0 m/s

t = 30 s

we know that distance travelled = x

so, x =

putting the appropriate values, we get that

x = [tex](\frac{50+0}{2} ) 30[/tex]

x = 750 m

Hence the distance travelled before coming to rest is 750 m.

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To cover 5.5 meters in a straight line, the tire rotated at an angle of 15.714rad.

To put it simply, a circle is a spherical shape without any corners or line segments. In geometry, it has the shape of a closed curve.

A definition from Euclid

A circle is a plane figure that is bounded by a single curved line and in which all straight lines drawn from any point inside the circle to the boundary are equal. Its center is the point, and its circumference is the bounding line. — Book I of Euclid's Elements.

Given,

circular path with a radius of 35cm,

Circumference of car tire is 2πr = 2×3.14×0.35 = 2.198m

For traveling a distance of  5.5m

5.5 = angle in rads ×radius

angle = 5.5/0.35

angle = 15.714 rad

To cover 5.5 meters in a straight line, the tire rotated at an angle of 15.714rad.

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At 300,000 km/s, radio waves move at the speed of light. At 100 megahertz, a radio wave has a wavelength of 3.0 m.

The space between two successive troughs or peaks of the light wave is referred to as the wavelength of light. The Greek letter lambda (), which stands for it. Consequently, the wavelength is the separation between one wave's crest or trough and the following wave.

An electromagnetic wave's wavelength has no bearing on how quickly it moves. There is no difference in the speed of Wave C versus Wave D. Changes in the characteristics of the medium a wave travels through are the only things that can change its speed.

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Answer:

Explanation:

Around 500 volt energy

The acceleration of an object is moving in a circle at constant speed is just constant (or constant in magnitude). It is not constant in direction nor constantly increasing.

Acceleration in physics is defined to be the rate of change of the velocity of an object with respect to time. Acceleration, including centripetal acceleration, is a vector quantity because it has magnitude as well as direction. Objects that are changing speeds or changing directions (or changing both) are said to be accelerating.

Centripetal acceleration is the acceleration of a body traversing a circular path. It is equal to velocity squared over radius. Since an object traveling on a circular path is constantly changing directions, even at constant speed, the object is accelerating as well.

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The pressure on the gas trapped in the buret is 680 mm.

The air around you has weight, and it presses against everything it touches. That strain is referred to as atmospheric pressure or air pressure. it's miles the force exerted on a surface by way of the air above it as gravity pulls it to Earth. Atmospheric strain is normally measured with a barometer.

Atmospheric pressure strain is the pressure exerted via the air around us while Atmospheric stress is the stress exerted by means of the environment on the earth. Air pressure is measured with the aid of a tore gauge while atmospheric stress is measured with the use of a mercury barometer.

Given;

If the height of the mercury Column in the leveling bulb is 10 mm greater than the gas buret and the atmos[pheric pressure is 670 mm.

The pressure on the gas trapped in the buffet = 670 + 10

                                                                               = 680 mm  

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Work done by the system is calculated to  - 456.863 J, when pressure and volume change is given.

For a gas, work is the product of the pressure and the volume during a volume change. Relationship between pressure and volume can be found out by Boyle's Law. As the pressure on a gas increases then the volume of the gas decreases because the gas particles are forced closer together.

W= -p ΔV

p is pressure and ΔV is volume change

Given that volume changes from 0.160 liters to 0.570 liters

ΔV = 0.570 - 0.160

= 0.41 L

Given p = 11 atm

Now, W = -11 * 0.41

As 1 atm L = 101.3 J

Hence W=  -11 * 0.41 * 101.3

Work = - 456.863 J (work done by system)

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If the effective coefficient of friction was 0.40, the amount of work done required to move a 41.0-kg container 10.4 m of  a surface would be 1671.448 J.

Take into account "Friction" as the applied force on the box and "friction" as the force on by friction.

f = coefficient of friction*M* acceleration due to gravity

where 'M', 'N', and 'g' stand for the mass of the box, the normal force acting onto the block, and the acceleration acts on by gravity, respectively.

Since the people application of force does not cause the block to accelerate, we may write

F=0.4*41kg*9.8 = 160.72N;

the work required to move the box by a distance of s = 10.4 m is

Work done = Force *S

= 160.72*10.4 = 1671.448 J.

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With wavelengths of around 10-1000 m, radio waves used by cell phones to communicate with cell towers are far too big to be ionizing. In reality, WiFi runs at very specific frequencies, 2.4 GHz or 5 GHz, which correspond to wavelengths of 12 cm or 6 cm, respectively.

Since radiofrequency waves are electromagnetic fields rather than ionizing radiation like X-rays or gamma rays, they cannot ionize or destroy chemical bonds in living organisms.

The signal is transformed back into the data that was first sent by the transmitter when the radio waves reach a receiver. Your voice is sent through radio waves to the person you are contacting when you use a cell phone as a transmitter.

The primary means of communication between mobile phones and neighboring cell towers is through RF waves, an electromagnetic spectrum energy type.

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