suppose a 62-turn coil lies in the plane of the page in a uniform magnetic field that is directed into the page. the coil originally has an area of 0.25 m2. it is stretched to have no area in 0.100 s. what is the magnitude of the induced emf (in volts) if the uniform magnetic field has a strength of 1.50 t?

The distance traveled by car A when they pass each other is 3278.2 ft.

The time taken for the two cars to meet each other is calculated by applying the concept of relative velocity.

(Va + Vb)t = d

where;

(74 + 56)t = 5760

130t = 5760

t = 5760/130

t = 44.3 s

The distance traveled by car A when they pass each other is calculated as follows;

da = 74 ft/s x 44.3 s

da = 3,278.2 ft

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The rock reaches a maximum height in 2.4 seconds which implies the rock was thrown at a speed of 24m/s.

Let:

Using the First equation of motion:

                         v = u + at

                         0 = u + (-10)(2.4)

                         0 = u + (- 24)

                         u = 24m/s

The First equation of motion establishes a relation between velocities and time. With the provided information, the most suitable equation which can be used to derive the answer is the First equation of motion.

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Answer:

a pipe, ditch, ship or factory smokestack.”

Explanation:

The U.S. Environmental Protection Agency (EPA) defines point source pollution as “any single identifiable source of pollution from which pollutants are discharged, such as a pipe, ditch, ship or factory smokestack.” Factories and sewage treatment plants are two common types of point sources.

The initial kinetic energy increases by the square of the ratio of the masses. The work done by the force increases by the ratio of the masses.

What is kinetic energy?
The amount of work an object performs as a result of its motion is measured in terms of kinetic energy. Kinetic energy is used in everyday motions like walking, jumping, throwing, as well as falling. Let's get acquainted with the idea of kinetic energy in this article. We must exert force on an object to accelerate it. We have to put in the effort to use force. Energy is transferred when work is done on to an object, and the object then moves at a new, constant speed. The energy that is transferred is referred to as kinetic energy, and it is influenced by the mass and speed attained.

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the first option, getting enough sleep

The angle of a vector with x and y component of 3 and 4 respectively is 53.13°

Vectors are quantities that have both magnitude and direction

To calculate the angle of the vector, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Hence, the angle of the vector is 53.13°.

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The tumbling run by Alena lasted for 0.009 seconds.

The time of tumbling can be calculated using the formula -

time = (2 × theta) ÷ (initial angular velocity + final angular velocity)

Keep the values in formula to find the amount of time took while tumbling.

Time = (2 × 0.5) ÷ (43 + 65)

Performing multiplication in numerator and addition in denominator of Right Hand Side of the equation

Time = 1 ÷ 108

Performing division on Right Hand Side of the equation

Time = 0.009 seconds

Thus, Alena took 0.009 seconds in tumbling while performing floor routine.

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ANSWER:

B. red giant

STEP-BY-STEP EXPLANATION:

The Sun is currently a main sequence star and will remain so for another 5 billion years. It will then expand and cool down to become a red giant, after which it will contract and heat up again to become a white dwarf.

Therefore, the correct answer is: B. red giant

ANSWER:

STEP-BY-STEP EXPLANATION:

Answer:

It is impossible to answer that as we could discover more than we know now in years to come with advanced technologies

Explanation:

The magnitude of the acceleration of the box is  = 0.625 m/s²

Friction is the pressure resisting the relative movement of strong surfaces, fluid layers, and material elements sliding in opposition to each other. There are numerous kinds of friction: Dry friction is a pressure that opposes the relative lateral motion of strong surfaces in touch.

Pressure is a power that could exchange the movement of an object. A pressure can reason an item with mass to alternate its speed, i.e., to boost up. pressure also can be defined intuitively as a push or a pull. A force has each magnitude and course, making it a vector amount.

Acceleration is the price of trade of the rate of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by way of the orientation of the net force performing on that object.

Force = mass × acceleration

acceleration = force / mass

                       = 25 / 40

                       = 0.625 m/s²

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Answer:

F=ma

F=6kg×5m/s^2

F=30kgm/s^2

F=30newton

The element that has 4 electrons, 3 protons and 6 neutrons is lithium ion.

An element is one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.

The atom of an element is made up of three subatomic particles namely;

In a neutral element, the number of protons and electrons are the same i.e. equal. According to this question, an element has 4 electrons, 3 protons and 6 neutrons.

The element in the periodic table with 3 protons is Lithium. This means that the element is lithium ion because it has gained one electron.

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A student is pulling a wagon and records the force vs time values in the table, then the acceleration of the wagon would remain constant, therefore the correct answer is option D.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem if a student is pulling a wagon and records the force vs time values in the table,

As the Force of the pulling is constant and assuming the mass of the wagon to be constant the acceleration of the wagon would not change.

Thus, the correct answer is option D.

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The question is incomplete, the complete question is,

A student is pulling a wagon and records the force vs time values in the table, which of the following will also remain constant for the wagon

A. Displacement

B. velocity

C. Momentum

D. Acceleration

Given that the number of hailstones is n = 562

The mass of hailstone is m = 2 g = 0.002 kg

The speed of hailstone is v = 5.8 m/s

The time taken will be t = 92 s

The angle is

We have to calculate the force.

The force can be calculated by the formula

Substituting the values, the force will be

The force that needs to be applied to the second piece of rock to produce an acceleration of 8a is 8F.

The relationship between the force, mass, and acceleration of an object is given in the formula below:

The force on an object is directly proportional to its mass and acceleration.

However, the acceleration of an object when a constant force is applied is inversely proportional to the mass of the object.

Given two rocks that weigh 5 N each.

Force applied on the first rock, F produces an acceleration = a

F = ma

mass = constant

hence, F = a

For the second rock to have an acceleration 8a, the force applied will be:

F / a = Fx / 8a

Fx = 8 F

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option c is the correct answer

What is Spectroscopy ?

It is a common method used by astronomers to determine the composition of stars, planets, and other objects. Today, this process uses instruments with gratings that distribute the light from the object by wavelength. This spread of light is called the spectrum.

The science of spectroscopy is very difficult. From the spectral lines, astronomers can not only determine the element, but also the temperature and density of this element within the star. The spectral lines also tell us about each of the star's magnetic fields. The width of the line tells us how fast the matter is moving.

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        When acceleration is constant, we may connect displacement to time and velocity, two of the other three parameters that describe motion, using the following three equations: d = ( 1 2 ) ( 1 2 ) (v f + v I (t) (Equation 1) D = v I t + a t + 1 2 (Equation 2) V I 2 + 2 a d = v f 2 (Equation 3).

         Displacement is directly proportional to the square of the length of the linear motion when acceleration is constant and beginning velocity is zero.

Solution:-

vi =+245km/h

aavg = -3.0m/s2

vf =vi -(0.200)vi

vi =(245km/h)(1h/3600s)(103m/1km)= +68.1m/s

vf =(1.000-0.200)vi =(0.800)(68.1m/s)=+54.5m/s

Δt=vf -vi /aavg

 = 54.5m/s - 68.1m/s / -3.0m/s2

 =-13.6m/s /-3.0 m/s2

 =  4.5s

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Explanation:

Unplanned maintenance at nuclear plants and lower than average wind speeds mean the country is currently relying on gas-powered stations to generate about half its electricity

The UK depends on power stations due to the more efficiency of energy production in them.

Even though UK has an enough wind supply over each year to meet the electric needs of UK, they still need power stations that use fuel to generate electricity.

This is because of the challenges created in the maintenance and implementation of wind plants in the UK.

The wind turbines have a higher cost for maintenance, compared to that of power stations. The ideal wind sites in the UK are mostly located in remote areas, so that it becomes more difficult for the implementation of wind plants. Also the lower average wind speed causes less production in the electricity through them. As a result, the UK still depends on power stations for the electric needs.

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The acceleration of greyhound's is 0 m/s².

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

s = 49 m

vo = vt = 15 m/s

Find the acceleration

vt² = vo² + 2a . s

15² = 15² + 2 . a . 49

a = 0 m/s²

The acceleration is zero because the constant speed.

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In between the two processes, we can see that the thermal energy of the mixture increases.

Recall that energy is the ability to do work. Now when we add the  partially melted to form a mixture of ice and ice water, we are going to increase the thermal energy of the water. This is because the water in the liquid state has a greater energy than water in the solid state.

Having see that liquid water contains more energetic particles than the the solid water, the thermal energy has increased in between the two processes.

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Answer:

The speed and direction of motion can be changed by applying force on an object and thus a force can bring a change in the state of motion of an object.

The magnitude of the resultant velocity of a pair of 100 km/h velocity vectors that are at right angles to each other is 141.42 km/h.

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Given that in the question velocity of a pair of 100 km/h velocity vectors that are at right angles to each other,

Resultant velocity,

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

 = [tex]100\sqrt{2}[/tex]

 = 141.42 km/h

The resultant velocity of a pair of 100 km/h velocity vectors that are at right angles to each other is  141.42 km/h.

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Given,

The length is r=5.70 m

The tangential speed is r=9.10 m/s

The centripetal acceleration is:

The acceleration is:

While traveling, an airplane passenger placed a bag of potato chips in his checked luggage that was placed in the baggage compartment where the air was not regulated. When he opened the luggage after landing, the bag exploded and potato chips were everywhere in his luggage. Boyle's law explains this phenomenon.

According to Boyle's law, the volume of a gas and its pressure are inversely proportional to each other.

In a bag of potato chips, nitrogen gas is filled to prevent breakage and keep the flavor intact.

At Earth, the pressure of the gas inside the package is less than the surrounding pressure and it prevents the potato pouch from bloating up. However, at higher altitudes, pressure decreases, and the volume of the gases inside the bag expands under lower pressure and ultimately the bag explodes.

In general, when the pressure of the potato bag becomes greater than the surrounding pressure, then it explodes.

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Radial acceleration of the ball during its circular motion is 41.8 m / s².

a = v ²/ r represents the circular motion acceleration.

In addition, they provide the X and Y positions at which the body will fall if the rope breaks.

x = v₀x t,

y = v₀x t-1/2gt²

because the circle is horizontal, the value of v0x is zero (v0x = 0).

X = v₀x t

t = x / v₀x

y = - 1/2 g t²

In order to determine the initial velocity on the X axis, let's replace it with y = − 12 g (x / vox) ²

v₀ₓ = √ [ (9.8) 1.6² / (21)]

v₀ₓ = 3.54 m / s

Its circle is in a horizontal position, so in addition to being the horizontal velocity, this is also the velocity of the body at the point of rupture.

The radial acceleration is now calculated using the formula

a = v² / r

a = 3.54² / 0.300

a = 41.8 m / s²

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13a  value of the hanging mass does the block accelerate at 1.8 m/s2

For 8 kg mass,

m 1 g - T = m 1 a

8g - T = 8a —————(I)

For 5 kg mass,

T - m 2 g = m 2 a

T - 5g = 5a —————(II)

Adding both equations, we get

8g - 5g = 13a

The constant velocity of the body on the frictionless surface is represented by the frictionless surface acceleration. No net force on the moving object can stop it from going when the surface is frictionless. As a result, the body keeps moving at the same speed. The skater has no net acceleration if no forces are operating on him and he is on a frictionless surface. The acceleration must be zero since the skier must have mass. If there is no acceleration when an item is moving, its velocity stays constant.

We must understand that acceleration always occurs in areas where there is friction. There are several types of forces at work on moving objects.

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Knowing only this information, the kinematic variable we can calculate is  Vavg = 6.3 m/s. Option B - average velocity

velocity is the directional velocity of an object in movement as an illustration of its rate of trade in function as found from a selected body of reference and as measured by means of a specific standard of time.

The average velocity is defined because of the alternate in function or displacement (∆x) divided by the point durations (∆t) in which the displacement takes place. The common pace may be tremendous or negative relying upon the sign of the displacement.

As it is given that the player is not moving in a straight line then distance and Displacement will not same.

We know average velocity is the ratio of total displacement to the time and if both are known then it can find easily.

Hence average speed can't be found

Vavg = 63/(60-50)  m/s

Vavg = 6.3 m/s

Instantaneous velocity is the velocity at a certain point of time that can't be found because there is only given initial &  final locations

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The gas that makes up this layer is O3 (Ozone).

The ozone layer protects the earth from most of the sun's UVB rays. Greenhouse gases are a set of gases that accumulate in the lower layer of the atmosphere the troposphere and absorb infrared radiation to increase the average temperature of the Earth's surface. At the top of the stratosphere, 30 miles up, ozone absorbs most of the sun's harmful UV rays.

At the top of the troposphere 12 miles, up ozone acts as a greenhouse gas and traps heat. The troposphere is the lowest layer of the Earth's atmosphere. Most of the atmospheric mass is in the troposphere. Most types of clouds are in the troposphere, and almost all weather phenomena occur in this layer. Greenhouse gases are so named because they absorb infrared radiation from the sun in the form of heat which circulates in the atmosphere and is eventually lost to space.

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the acceleration is maximum at the peak position and kinetic energy is connected with the mean position.

the object which is performing a simple harmonic motion because the acceleration is directly proportional to displacement that the direction is opposite side the formula is given by

F= -K X

K is the spring constant  

because the amplitude means the maximum displacement

the maximum velocity means that the that is proportional to the angular frequency  and the relation is given by

V=rW

V is the velocity

r is the radius

W is the angular frequency that the SI unit is rad/s.

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If an object undergoing simple harmonic motion with amplitude 2.3 m and velocity 15 m/s maximum, then its angular frequency is 6.52 rad/s.

Missing data from the question:

- the amplitude is 2.3 m

- the maximum velocity of the object is 15 m/s

The equation for the velocity of a simple harmonic motion is given by:

v = A. ω. cos(ωt)

Where:

ω = angular frequency

A = amplitude

Parameters given:

A = 2.3 m

v = 15  m/s

Let's take t = 0, hence,

v = A. ω. cos(0) = A . ω

15 = 2.3 ω

ω = 15/2.3 = 6.52 rad/s

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If Alex throws a 0.25-kg rubber ball down onto the floor, the ball's speed just before impact is 4.5 m/s, and just after is 2.9 m/s.The change in the magnitude of the ball's momentum is 1.85 [tex]kg \frac{m}{s}[/tex]

Calculation

Change in momentum= [tex]mv_{1} -mv_{2}[/tex]

where, m is mass of the object, m= 0.25 kg

[tex]v_{1}[/tex] is velocity before collision, [tex]v_{1}[/tex] = 4.5 m/s

[tex]v_{2}[/tex] is velocity after collision, [tex]v_{2}[/tex] = 2.9 m/s

therefore, [tex]mv_{1} -mv_{2} =m(v_{1}-v_{2} )[/tex]

⇒0.25(4.5-(-2.9)) = 0.25(4.5 + 2.9) = 0.25* 2.4

= 1.85 [tex]kg\frac{m}{s}[/tex]

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