sixteen identical wires, each of diameter d and length l, are connected in parallel. the combination has the same resistance as a single similar wire of length l but whose diameter is:

Answer:

The equation for the velocity component in the y-direction is : vy (t)= v(0)Sinθ - gt

If the air is traveling 46 cm/s before the constriction and we treat air as an incompressible fluid, the pressure drop in the constriction is 106.8 Pa.

If we treat air as an incompressible fluid, the pressure drop in the constriction can be determined using Bernoulli’s equation. Bernoulli’s equation states that the sum of the pressure, kinetic energy, and potential energy of a fluid stream is constant.

The equation can be expressed as:

P1 + (1/2)ρv12 + ρgh1 = P2 + (1/2)ρv22 + ρgh2

Where P1 and P2 are the pressures before and after the constriction, ρ is the density of the fluid, v1 and v2 are the velocities before and after the constriction, g is the acceleration due to gravity, and h1 and h2 are the heights before and after the constriction.

Given that the air velocity before the constriction is 46 cm/s and the density of air is 1.29 kg/m3, we can calculate the pressure drop in the constriction as follows:

P1 + (1/2)*(1.29 kg/m3)*(46 cm/s)2 + (1.29 kg/m3)*(9.8 m/s2)*h1 = P2 + (1/2)*(1.29 kg/m3)*(92 cm/s)2 + (1.29 kg/m3)*(9.8 m/s2)*h2

Since h1 and h2 are equal and the acceleration due to gravity is constant, we can simplify the equation to:

P1 + (1/2)*(1.29 kg/m3)*(46 cm/s)2 = P2 + (1/2)*(1.29 kg/m3)*(92 cm/s)2

Substituting the given numerical values, we get

P1 + (1/2)*(1.29 kg/m3)*(46 cm/s)2 = P2 + (1/2)*(1.29 kg/m3)*(92 cm/s)2

P1 + 35.6 Pa = P2 + 142.4 Pa

Therefore, the pressure drop in the constriction is 106.8 Pa.

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Answer:

The average deceleration of the car can be calculated using the formula for deceleration, which is given by the change in velocity divided by the time over which the change occurs. In this case, the initial velocity of the car is 200 m/s, the final velocity is 0 m/s, and the time over which the change occurs is 2 seconds. Therefore, the average deceleration can be calculated as follows:

Deceleration = (0 m/s - 200 m/s) / 2 s = -100 m/s^2

The negative sign indicates that the deceleration is in the opposite direction to the initial velocity of the car, which is what we would expect in this case, since the car is slowing down. Therefore, the average deceleration of the car is -100 m/s^2.

The maximum work is developed when the pressure ratio is the same across each stage as Pi/P2 =  P1/Pi

Describe work.

When an object is moved over a distance by an external force, at least some of that force must be applied in the direction of the displacement. That is called work. Work is a measure of energy transfer.

The definition of energy is the capacity for work. The work produced is consistent. There are many different types of energy, including kinetic and potential energy.

The turbine work ,w =(h 1−h a)(h b −h 2 )

                                   =cp [(T 1−Ta)+(T b−T 2 )]

As the temperature at the inlet at each stage is same: T 1=T b

So ​

turbine work ,w =  cp [(T 1−Ta)+(T b−T 2 )]

                           =  cp [2T1-Ta -T2]

                           =  cp*T1[2- Ta/at1 - T2/T1]

Ta/T1 = (Pi/P1)^x

T2/T1 = (P2/Pi)^x

and x =(k-1)/k

So , w =c p*T 1 [2−( P1/Pi)^ x−( Pi/P2)^x ]

In case of maximum work done , dw/di = 0

Substituting it in above equation gives:

P1*P2 = (Pi)^2x

Pi/P2 =  P1/Pi

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If the absolute temperature of an object is tripled, the thermal power radiated by the object will increase by a factor of 3^4=81.

Increase by a factor of 9 i.e. (3^2). This is because the Stefan-Boltzmann law states that the power radiated by a black body (an object that absorbs all incoming electromagnetic radiation) is proportional to the fourth power of its temperature. Thus, if the temperature of an object is tripled, the thermal power it radiates will increase by a factor of 3^4=81. It's important to note that the emissivity and size of an object can affect the amount of thermal radiation it emits. The emissivity of an object is a measure of how efficiently it radiates energy, and a larger object will generally have a greater surface area, which means it will be able to radiate more energy.

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Answer:

To determine the height to which the ball rises before it reaches its peak, we need to know the initial velocity of the ball and the acceleration due to gravity. Let's assume the initial velocity of the ball is v and the acceleration due to gravity is g.

The time it takes for the ball to reach its peak is one-half the total hang-time, or 1/2 * 6.25 s = 3.125 s.

The height to which the ball rises can be calculated using the formula:

height = v * t - (1/2) * g * t^2

Substituting in the values we know, we get:

height = v * 3.125 s - (1/2) * g * (3.125 s)^2

To solve for the height, we need to know the value of v and g. Without more information, it is not possible to determine the height to which the ball rises before it reaches its peak.

Explanation:

Answer:

Approximately [tex]47.9\; {\rm m}[/tex] (assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex] and that air resistance on the baseball is negligible.)

Explanation:

If the air resistance on the baseball is negligible, the baseball will reach maximum height at exactly [tex](1/2)[/tex] the time it is in the air. In this example, that will be [tex]t = (6.25\; {\rm s}) / (2) = 3.125\; {\rm s}[/tex].

When the baseball is at maximum height, the velocity of the baseball will be [tex]0[/tex]. Let [tex]v_{f}[/tex] denote the velocity of the baseball after a period of [tex]t[/tex]. After [tex]t = 3.125\; {\rm s}[/tex], the baseball would reach maximum height with a velocity of [tex]v_{f} = 0\; {\rm m\cdot s^{-1}}[/tex].

Since air resistance is negligible, the acceleration on the baseball will be constantly [tex]a = (-g) = (-9.81\; {\rm m\cdot s^{-2}})[/tex].

Let [tex]v_{i}[/tex] denote the initial velocity of this baseball. The SUVAT equation [tex]v_{f} = v_{i} + a\, t[/tex] relates these quantities. Rearrange this equation and solve for initial velocity [tex]v_{i}[/tex]:

[tex]\begin{aligned}v_{i} &= v_{f} - a\, t \\ &= (0\; {\rm m\cdot s^{-1}}) - (-9.81\; {\rm m\cdot s^{-2}})\, (3.125\; {\rm s}) \\ &\approx 30.656\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

The displacement of an object is the change in the position. Let [tex]x[/tex] denote the displacement of the baseball when its velocity changed from [tex]v_{i} = 0\; {\rm m\cdot s^{-1}}[/tex] (at starting point) to [tex]v_{t} \approx 30.656\; {\rm m\cdot s^{-1}}[/tex] (at max height) in [tex]t = 3.125\; {\rm s}[/tex]. Apply the equation [tex]x = (1/2)\, (v_{i} + v_{t}) \, t[/tex] to find the displacement of this baseball:

[tex]\begin{aligned}x &= \frac{1}{2}\, (v_{i} + v_{t})\, t \\ &\approx \frac{1}{2}\, (0\; {\rm m\cdot s^{-1}} + 30.565\; {\rm m\cdot s^{-1}})\, (3.125\; {\rm s}) \\ &\approx 47.9\; {\rm m}\end{aligned}[/tex].

In other words, the position of the baseball changed by approximately [tex]47.9\; {\rm m}[/tex] from the starting point to the position where the baseball reached maximum height. Hence, the maximum height of this baseball would be approximately [tex]47.9\; {\rm m}\![/tex].

(a) The swimmer needs 3000 seconds before take a bath across that whole river.

(b) D = 2730 meters, which represents how far downstream the swimmer will be when they cross the river.

Two miles downstream, in the course of or closer to the entrance of a stream drifting downstream. in or around the end of a typical industrial process and the stages after fabrication that increase earnings for downstream products.

Downstream It is referred to as downstream if somehow the boat is moving downwards of the stream. The downstream speed in this situation refers to the boat's net speed. In this situation, still water is seen as being immobile.

Time = ?

d / v = t

3000 m / 1.0 m/s

T = 3000 s

Distance = ?

t * v = d

3000 s * 0.91 m/s

D = 2730 m

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As there is only one force acting on the ball i.e. gravitational force, the acceleration will be constant and downward. Also because ball moves in the direction of the acceleration, the velocity increases.

Acceleration - constant; velocity - increasing.

What is Acceleration?

Acceleration is the rate of change of velocity of an object over time. It can be positive, negative, or zero. Positive acceleration is when an object speeds up, negative acceleration is when an object slows down, and zero acceleration is when an object's velocity remains constant.

What is velocity?

Velocity is a measure of the speed and direction of an object's motion. It is typically measured in meters per second (m/s) or kilometers per hour (km/h). Velocity can also be expressed in other units, such as miles per hour (mph) or feet per second (ft/s). Velocity is related to a object's acceleration, as an object's acceleration is the rate of change in its velocity over time.

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The stones needed to be dropped from the same height. The light stone is moving quicker than the hefty stone just as it touches the ground. The light stone is taller when it is first placed than the heavy stone is.

Energy is the ability to carry out work. Potential, kinetic, thermal, electrical, chemical, nuclear, and other forms may all exist for it.

There are numerous types of energy. Examples of these include: electromagnetic energy, chemical energy, nuclear or atomic energy, mechanical energy, gravitational energy, electrical energy, sound energy, and so on. Each form can be changed or transformed into the others.

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79 kg person is parachuting and experience a down acceleration of 2.7 m/s2. This is slightly different from the downward acceleration of 2.7 m/s2, which suggests that there are additional forces acting.

The downward force acting on the person while they are parachuting is equal to the person's mass multiplied by the acceleration due to gravity (9.8 m/s2). This can be expressed mathematically as:

= F

= ma

= 79 kg x 9.8 m/s2

= 774.2 N

The mass of the parachute also contributes to the downward force acting on the person. The total downward force acting on the person is equal to the sum of the forces acting on the person and the parachute. This can be expressed mathematically as:

= F total

= F person + F parachute

= 774.2 N + (4.9 kg x 9.8 m/s2)

= 783.54 N

The acceleration of the person and parachute system is equal to the total downward force acting on the system divided by the total mass of the system. This can be expressed mathematically as:

= a

= F total / m total

= 783.54 N / (79 kg + 4.9 kg)

= 7.96 m/s2

Therefore, the acceleration of the person and parachute system is 7.96 m/s2. This is slightly different from the downward acceleration of 2.7 m/s2 that the person is experiencing, which suggests that there are additional forces acting on the system besides the downward force of gravity.

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Answer:

If Jack is 10 years old and scored a mental age of 8 years old on his IQ test, his IQ score would be 80 using the Terman formula. The Terman formula is commonly used to calculate IQ scores based on the ratio of an individual's mental age to their chronological age. In this case, Jack's mental age is 8 and his chronological age is 10, so his IQ score would be calculated as follows:

IQ = (MA / CA) * 100

= (8 / 10) * 100

= 0.8 * 100

= 80

This means that Jack's cognitive abilities are at the level of an average 8-year-old, even though he is actually 10 years old. His IQ score of 80 falls within the average range of IQ scores, which is typically considered to be between 90 and 110.

Answer: Temperature

Explanation:

A collection of procedures that remove extra material using a variety of mechanical, thermal, electrical, or chemical energy-based methods.

Due to the fact that it is a fundamental human requirement, energy is crucial to our everyday existence. Our constructions, which are constructed by humans, are heated and cooled by energy. Even the simplest tasks like raising your finger or getting out of bed need energy.

By converting mechanical energy to electrical energy, a turbine generator set generates electricity. Natural gas, coal, nuclear fission, biomass, petroleum, geothermal, and solar thermal are examples of energy sources where the heat generated is utilized to produce steam that turns the turbine's blades.

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Answer:

Newton's third law of motion states that for every action, there is an equal and opposite reaction. This means that whenever one object exerts a force on another object, the second object exerts an equal and opposite force back on the first object.

On a flying chair swing ride, the forces of action and reaction are at play as the ride moves. When the ride accelerates and lifts off the ground, the force of gravity is pulling the chairs downward, while the force of the ride's propulsion is pushing the chairs upward. These two forces are equal and opposite, and they balance each other out, causing the ride to lift off the ground and rise into the air.

As the ride moves through the air, the chairs continue to experience the forces of action and reaction. For example, as the ride turns, the chairs experience a force pushing them outward, while the ride's structure experiences an equal and opposite force pushing inward.

Overall, Newton's third law of motion is at work throughout the entire ride, as the forces of action and reaction balance each other out and allow the ride to move smoothly through the air.

Answer:

C

Explanation:

The velocity is increasing steadily in this time frame

 and represents a POSITIVE acceleration....

    the acceleration would be equal to the slope of the line in that timeframe

Answer:

C. Positive acceleration

Explanation:

Since velocity increases each seconds, the acceleration will be constantly positive. Otherwise, if velocity decreases then acceleration will be negative. Pretty much like real-world application, when there’s (positive) acceleration, it goes faster.

As per the given resistances, the equivalent resistance between points a and b will be equal to  14.43 Ω.

When an electric current passes through a lightbulb or any other conductor, the conductor presents some resistance to the current.

This resistance is referred to as resistance value and is represented by the letter R. Since every substance has some electrical resistance, when current flows through a conductor, heat is released.

As per the given figure in the question,

Firstly, calculate the total resistance between points d and c,

R₂ = 35 + 56

R₂ = 91 Ω

Now,

R₁ = 22 Ω

R₂ = 91 Ω and,

R₃ = 78 Ω

All are connected in parallel,

[tex]\frac{1}{R_a_b}[/tex] = 1/22 + 1/91 + 1/78

= 5408/78078

[tex]R_a_b[/tex] = 14.43 Ω.

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Answer:

D

Explanation:

Direction of motion is positive right side

P = mv

P = m (final - initial)

P = 2 ( -1 - 3)

P = 8 Ns

(negative sign ignored)

I hope my answer helps you.

The impulse on the wall with a mass of the ball is 2 kg and the initial speed of wass 3 m/s and the final velocity is 1 m/s is 8 Ns. Hence, option D is correct.

Impulse equals the product of net force and changes in time. Impulse is also equal to the change in momentum. It is also defined as the force applied to an object with a short duration of time. The unit of impulse is Newton. seconds(Ns).

From the given,

mass of the ball (m) = 2kg

The initial speed of the ball (u) = 3m/s

the final speed of the ball (v) = -1 m/s.

Impulse (I) = Momentum (p)

Momentum (p) = mΔv

                         = m(v-u)

                         = 2(-1-3)

                         = 2(-4)

                         = -8.

Thus, the impulse on the wall is 8Ns.

Hence, the correct option is D.

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Correctly ranks the horizontal distances d that the streams of water travel before hitting the surface of the pool is (A) i.e. dA > dB > dC

The horizontal distances that a stream of water travels before hitting the surface of the pool is determined by the height of the water in the reservoir and the height of the pipe above the pool. The higher the water level in the reservoir, the greater the downward force on the water and the greater the horizontal distance that the water will travel. The higher the pipe is above the pool, the less distance the water has to fall and the shorter the horizontal distance that the water will travel. Correct ranking of the horizontal distances d that the streams of water travel before hitting the surface of the pool. Reservoir A has the highest water level, followed by reservoir B, and then reservoir C. The pipes in all three reservoirs are set at the same height above the pool. Therefore, the stream of water from reservoir A will have the greatest downward force and will travel the greatest horizontal distance before hitting the pool. The stream of water from reservoir B will have a lesser downward force and will travel a shorter horizontal distance before hitting the pool. The stream of water from reservoir C will have the least downward force and will travel the shortest horizontal distance before hitting the pool.

Therefore, the correct ranking is (A) dA > dB > dC.

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Inductance of the winding is 69.

The way a wire coil reacts to changes in electric current through the coil is an example of inductance. The inductance L, which results from Faraday's law, can be expressed in terms of the emf produced to oppose a specific change in current:

Inductors generate a self-induced emf within themselves as a result of their changing magnetic field.

In an electrical circuit, when the emf is induced in the same circuit in which the current is changing this effect is called Self-induction, (L) but it is sometimes commonly called back-emf as its polarity is in the opposite direction to the applied voltage.

Therefore,  Inductance of the winding is 69.

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Answer:

The energy of the system and total momentum are both conserved in an elastic head-on collision. The atomic nucleus receives 1.87 percent of the neutron's kinetic energy and final kinetic energy is 12.3×10-13J.

Explanation:

In elastic head-on collision, the energy of the system and total momentum is conserved.

For the neutron,

m - mass, - initial velocity,  - final velocity

For the atom,

M- mass , - initial velocity, - final velocity

Conserved momentum on the head-on collision

mv_i=mv_f+MV_f

v_i-v_f=MmV_f

v_i-v_f=14.9V_f.........(I)

The kinetic energy

v_i^2-v_f^2=14.9V_f^2............(II)

From equation (I) and (II)

(v_i-v_f)/(v_i^2-v_f^2 )=(12v_f^2)/(12v_f^2 )

v_i+v_f=V_f.........(III)

Solve equation (I) and (III) for  

v_i=7.9v_f

Now, the fraction of the neutron's kinetic energy transferred to the atomic nucleus,

(1/2 MV_f^2)/(1/2 mv_i^2 )=14.9/7.95=1.87

K2=1.87×6.58×10-13J=12.3×10-13J

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A nova or supernova may be the most catastrophic occurrence in all of nature.

A negatively charged subatomic particle called an electron can either be free or attached to an atom (not bound). One of the three main types of particles in an atom is an electron that is attached to it; the other two are protons and neutrons.

For creating cross-platform desktop apps using HTML, CSS, and JavaScript, GitHub developed the open source library called Electron. Chromium and Node are combined to create Electron, which does this. Apps may be produced for Mac, Windows, and Linux and combined with JavaScript into a single runtime.

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The time interval during which the speed of the wheel is increasing is 4 s.

Angular acceleration is the term used to describe the temporal pace at which angular velocity varies. Radians per square second is used as the measurement unit.

At time t = 0, the angular velocity is ω₁ = - 6.00 rad/s.

At time t = 10.0 s, the angular velocity is ω₂ = +4.00 rad/s.

Angular acceleration of the wheel can be written as= change in angular velocity /time interval

= ( 4.00 - (-6.00))/10 rad/s²

= 1.0 rad/s²

Hence, angular velocity becomes zero at time = ( 0 - ( -6))/1.0 s = 6 s.

So, during t = 0 to t = 6s, the clockwise angular  velocity of the wheel decreases from 6.00 rad/s to 0.00 rad/s and  during t = 6s to t = 10s , the counterclockwise angular  velocity of the wheel increases from 0.00 rad/s to +4.00 rad/s.

Hence,  the time interval during which the speed of the wheel is increasing is = 10 s - 6 s = 4 s.

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Answer: acceleration = (85.9 m/s - 23.6 m/s) / 7.6 s = 8.59 m/s^2.

Explanation: To find the acceleration of a car, we need to use the formula acceleration = (final velocity - initial velocity) / time. In this case, the initial velocity is 23.6 m/s, the final velocity is 85.9 m/s, and the time is 7.6 seconds, so the acceleration is acceleration = (85.9 m/s - 23.6 m/s) / 7.6 s = 8.59 m/s^2.

To find the minimum amount of ice needed to cool the tea, you can use the formula:

Q = mcΔT + mL

where Q is the heat energy required, m is the mass of the ice, c is the specific heat capacity of ice, ΔT is the temperature change, and L is the latent heat of fusion.

The specific heat capacity of ice is 2010 J/kg°C. The latent heat of fusion of ice is 3.34 x 10^5 J/kg.

First, find the heat energy needed to cool the tea from 91.98°C to 6.19°C:

Q = 2.70 kg * 4190 J/kg°C * (91.98°C - 6.19°C) = 2.70 kg * 4190 J/kg°C * 85.79°C = 92959.58 J

Then, find the heat energy needed to melt the ice:

Q = mL = m * 3.34 x 10^5 J/kg = m * 3.34 x 10^5 J/kg

Then, add the heat energy needed to cool the tea to the heat energy needed to melt the ice:

Q = 92959.58 J + mL = 92959.58 J + 3.34 x 10^5 J/kg * m

Finally, rearrange the equation to solve for m:

m = (Q - 92959.58 J) / (3.34 x 10^5 J/kg)

Plugging in the given values, you get:

m = (92959.58 J - 92959.58 J) / (3.34 x 10^5 J/kg) = 0 kg

So the minimum amount of ice needed to cool the tea is 0 kg. This means that the tea is already at a temperature lower than the melting point of ice, so no ice is needed to cool it further. It's important to note that this calculation assumes that there is no heat loss to the surroundings and that the tea and ice are perfectly insulated. In practice, some heat will be lost to the surroundings and more ice may be needed to achieve the desired temperature.

C. Are B, C, and A in a series? Three layouts are shown, two in parallel and one in series. The resistance of each resistor is same. r. sort in declining order the analogous resistances of the layouts.

In resistors, electrical energy is transformed into heat that is subsequently dissipated. With negative and positive charges kept apart, capacitors are frequently employed to filter frequencies. Alternative current can be passed through capacitors while direct current is blocked.

Electrical resistance is provided by a resistor, a two-terminal electrical component. Resistors are mainly used to split voltages, impede transmission signals, reduce current flow, and bias active components in electronic circuits.

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The correct statement about the direction of  transfer of energy  in an isolated system is b) In an isolated system, energy always transfers from a warmer region to a cooler region .So, correct option is b.

An isolated system is a thermodynamic framework that can't trade either energy or matter beyond the framework. There are two manners by which this might happen: The framework might be so far off from another framework that it can't associate with them. The framework might be encased to such an extent that neither energy nor mass might enter or exit.

When temperature remains constant then energy transfer takes place between different components of system will be possible.Since temperature is different ,energy flow is favored from the warmer region to colder region because of difference in temperature.

Hence, correct option is b.

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(Complete question) is:

Which one of the statements below describes the direction of thermal energy transfer in an isolated system?

a)In an isolated system, for energy transfer to take place the entire system must remain at a constant temperature.

b)In an isolated system, energy always transfers from a warmer region to a cooler region

c)In an isolated system, energy always transfers from cooler region to a warmer region

d)In an isolated system, no transfer of energy between regions of the system can take place.

e)In an isolated system, energy cannot be transferred from a hotter region to a colder region.

The  unit of ETA in terms of the basic units of the SI system is:

ETA = [kg] * [s]⁻¹* [m]⁻¹= kg * s / m

The dimension of the coefficient of viscosity (ETA) can be determined by using the dimensions of the other variables in the equation:

F = ETA * A * (dv/dx)

The dimension of force (F) is [M] * [L] * [T]⁻², the dimension of surface area (A) is [L]⁻², and the dimension of velocity gradient (dv/dx) is [L] * [T]⁻¹.

Since the equation must be dimensionally consistent, we can set up the following equation:

[M] * [L] * [T]⁻²= ETA * [L]² * [L] * [T]⁻¹

Solving for the dimension of ETA, we get:

ETA = [M] * [T]⁻¹ * [L]⁻¹

Therefore, the basic unit of mass in the International System of Units (SI) is the kilogram (kg), the basic unit of time is the second (s), and the basic unit of length is the meter (m). Therefore, the unit of ETA in terms of the basic units of the SI system is:

ETA = [kg] * [s]⁻¹* [m]⁻¹= kg * s / m

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The magnitude of the force that must be applied to the wedge must be equal to the weight of the block, or force = mg.

If the block is to remain at a constant height above the tabletop, then the net force acting on it must be zero. The only force acting on the block is the normal force, which is the force exerted by the wedge on the block. Since the block is not accelerating, the normal force must be equal and opposite to the gravitational force acting on the block. This means that the magnitude of the normal force must be equal to the weight of the block, which is mg, where g is the acceleration due to gravity.

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Over an AC generator, a series connection between a capacitor and a resistor is made. The voltage across the capacitor is 90 degrees behind the current.

Voltage is the pressure from the power source of an electrical circuit that drives charged electrons (current) through a conducting loop, allowing them to perform tasks like lighting a lamp. Briefly stated, voltage equals pressure and is measured in volts (V).

The energy per unit charge is known as voltage, also known as electromotive force. Voltage is the difference in electric potential between two locations, to put it another way. The pace at which an electric charge flows is known as current.

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The required  speed of the center of mass of the two-car system is 10 m/s.

Option(2) is corret.

The reason is simple. Velocity is the percentage of time an object moves along a path, and Velocity is the speed and direction of an object's movement.

The mathematical calculation of velocity is relatively simple, the average velocity of an object is calculated by dividing the distance traveled by the time it took the object to travel that distance. Velocity, on the other hand, is mathematically complex and can be calculated in different ways depending on what information is available about the object's motion. In its simplest form, the average velocity is calculated by dividing the change in position (Δr) by the change in time (Δt).

Let the mass of cars which is same is M,

Speed (V1) = 30 m/s

Speed (V2) = -10 m/s

Then,

Speed of center of mass = MV1 + MV2/2M

Speed of center of mass = M(30) + M(-10)/2M

Speed of center of mass = 30M - 10M/2M

Speed of center of mass = 20M/2m

Speed of center of mass = 10 m/s

Thus, Speed of center of mass is 10 m/s

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