En una barra de 6m que se utiliza como palanca se coloca el fulcro a 2 m de distancia del extremo derecho, como se muestra en la figura. En ese mismo extremo se requiere soportar una carga de 90N. Despreciando el peso de la palanca, determinada Fp, VMI, VMR y la eficiencia del sistema.

Answers

Answer 1

Answer:

Fp = 45 N

VMR = 2

VMI = 2

Efficiency = 100%

Explanation:

English Translation

In a 6m bar that is used as a lever, the fulcrum is placed 2m away from the right end, as shown in the figure. At that same end it is required to support a load of 90N. Neglecting lever weight, determined Fp, VMI, VMR and system efficiency

Solution

With the diagram not massively needed to solve this question.

Although, the load of 90 N is placed at the right end of the bar, the fulcrum is placed 2 m from that right end and the balancing force or effort is placed at the extreme most left end of the 6 m bar.

Taking moment about the fulcrum,

The sum of clockwise moments must balance the sum of anti-clockwise moments.

(Load) × (Distance of load from the fulcrum) = (Balancing force) × (Distance of balancing force from fulcrum)

Load = L = 90 N

Distance of load from the fulcrum = 2 m

Balancing force or Effort = Fp = ?

Distance of balancing force from fulcrum = 6 - 2 = 4 m

90 × 2 = Fp × 4

Fp = (180/4) = 45 N

The mechanical advantages are them given as

VMR = (Load)/(Effort) = (90/45) = 2

VMI = (Distance of Effort from the fulcrum)/(Distance of Load from fulcrum) = (4/2) = 2

Efficiency is then given as the VMR divided by VMI in percentage terms

Efficiency = 100% × (VMR/VMI)

Efficiency = 100% × (2/2) = 100%

Hope this Helps!!!


Related Questions

A 3.0-kg meatball is moving with a speed of 6.0 m/s directly toward a 2.0 kg meatball which is at rest. The two meatballs collide and stick together. What is their velocity immediately after the (inelastic) collision?

18 m/s

3.6 m/s

6 m/s

5 m/s

Answers

Answer:

Their common velocity after collision is 3.6 m/s

Explanation:

Given;

mass of the first meatball, m₁ = 3.0 kg

initial velocity of the first meatball, u₁ = 6.0 m/s

mass of the second meatball, m₂ = 2.0 kg

initial velocity of the first meatball, u₂ = 0 m/s

let their common velocity after collision = v

Apply the principle of conservation of linear momentum for inelastic collision ;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

(3 x 6) + (2 x 0) = v( 3 + 2)

18 = 5v

v = 18 / 5

v = 3.6 m/s

Therefore, their common velocity after collision is 3.6 m/s

water flows in a pipe of a terminal of A1=0.02 m2 with a speed of V1=2 m/s. At the second end of the pipe A2=0.04 m2, the speed of flow is V2=_______m/s

Answers

A1*V1=A2*V2
0.02*2=0.04*V2
V2=1 m/s

What is the momentum of a 110kg fullback running at 860 m/s?*

Answers

Answer:

94600kgm/s

Explanation:

Linear momentum of a body can be calculated using the formula;

P = mv

Where;

P = linear momentum (Kgm/s)

m = mass of body (kg)

v = speed of the moving body (m/s)

According to the provided information in the question, m = 110kg, v = 860m/s

P = 110 × 860

P = 94600kgm/s

Which element has an atomic number of 9 and an atomic mass of 19?

A.boron
B.carbon
C.sulfur
D.fluorine

Answers

Answer:

fluorine

Explanation:

i honestly don’t know but i have to answer something just kidding it’s c

If you stand on a floor, how does the normal force on you compare to your weight?
(a) normal force is larger
(b) normal force is less
(c) they are equal

Answers

Answer: (c) they are equal.

Explanation:

The normal force is equal and opposite to the weight of an object. When an object stands on a floor, the normal force is equal in magnitude to the weight of the object and acts in the upward direction. This means that the normal force on a person standing on the floor is equal in magnitude to the person's weight and acts in the upward direction, holding the person up against the force of gravity.

A series RLC circuit has a resistance of 20 , a capacitance of 10-2 F, an inductance of 10 H and an applied voltage E(t) = 200 cos 5t Volts. Assuming no initial current and charge when voltage is first applied, find the subsequent current in the system.

Answers

The subsequent current in the series RLC circuit is given by the equation: i(t) = I * cos(5t - Φ), where I is the amplitude of the current and Φ is the phase angle.

To find the subsequent current, we need to calculate the amplitude (I) and the phase angle (Φ) of the current.

First, let's calculate the resonant frequency (ω) of the circuit:

ω = 1 / √(LC) = 1 / √(10 * 10^(-2)) = 1 / √1 = 1 rad/s.

The applied voltage can be written as E(t) = E * cos(ωt), where E is the amplitude of the voltage.

Comparing this with the given voltage E(t) = 200 * cos(5t), we can equate the angular frequencies: ω = 5.

Now, let's find the impedance (Z) of the circuit:

Z = √(R^2 + (Xl - Xc)^2),

where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.

R = 20 Ω

Xl = ωL = 1 * 10 = 10 Ω

Xc = 1 / (ωC) = 1 / (5 * 10^(-2)) = 20 Ω

Plugging in these values, we get:

Z = √(20^2 + (10 - 20)^2) = √(400 + 100) = √500 ≈ 22.36 Ω.

The amplitude of the current (I) can be calculated using Ohm's Law:

I = E / Z = 200 / 22.36 ≈ 8.94 A.

The phase angle (Φ) can be found using the relationship between resistance, inductive reactance, and capacitive reactance:

tan(Φ) = (Xl - Xc) / R = (10 - 20) / 20 = -0.5.

Therefore, Φ ≈ -0.464 rad.

The subsequent current in the series RLC circuit is given by i(t) = 8.94 * cos(5t + 0.464) A.

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A rock thrown with speed 12.0 m/sm/s and launch angle 30.0 ∘∘ (above the horizontal) travels a horizontal distance of dd = 17.0 mm before hitting the ground. From what height was the rock thrown? Use the value gg = 9.800 m/s2m/s2 for the free-fall acceleration.
A second rock is thrown straight upward with a speed 6.000 m/sm/s . If this rock takes 1.636 ss to fall to the ground, from what height HH was it released?

Answers

For a projectile thrown with an initial speed v at an angle θ above the horizontal, the maximum height h_max reached and the range R (horizontal distance) it travels are given by: h_max = (v^2 * sin^2 θ) / 2g and R = (v^2 * sin 2θ) / g

where g is the gravitational acceleration 9.8 m/s^2. Given that a rock is thrown with a speed of 12.0 m/s and angle 30° above the horizontal, it travels 17.0 m before hitting the ground. We can find the height it was thrown from using the equation: R = (v^2 * sin 2θ) / g

Rearranging for v^2 gives: v^2 = R * g / sin 2θ

Substituting the given values of R, g, and θ: v^2 = (17.0 m) * (9.8 m/s^2) / sin(2 * 30°)v^2 = 166.71 m^2/s^2

Taking the square root of both sides: v = 12.91 m/s

Now using the equation for maximum height: h_max = (v^2 * sin^2 θ) / 2g

h_max = (12.91 m/s)^2 * sin^2 (30°) / (2 * 9.8 m/s^2)

h_max = 8.92 m

Therefore, the rock was thrown from a height of 8.92 m.

For the second part, the rock is thrown straight upward with a speed of 6.00 m/s. It takes 1.636 s to fall back to the ground. Using the equation h_max = v^2 / 2g, the maximum height reached by the rock is:

h_max = (6.00 m/s)^2 / (2 * 9.8 m/s^2) = 1.83 m

Therefore, the rock was released from a height of 1.83 m.

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Describe the responses of the human ear to sound waves coming from the
right side, left side, or in phase.

Answers

If the sound comes from the right side, the waves reach the right ear before the left ear. if the sound comes from the left side, the waves reach the left ear before the right ear. The difference between the phases of waves reaching both ears is detected by the ears and then interpreted by the brain

A 1.50 kg rock is thrown up into the air from ground level, reaches a maximum height of 7.00 m, then returns to the ground. Calculate the rock's momentum as it strikes the ground

Answers

Answer:

17.565 kgm/s

Explanation:

Momentum = mass × velocity

I = mv..................... Equation 1

But we can calculate the value of v  using the equation of motion under gravity.

v² =  u²+2gs............. Equation 2

Where u = initial velocity, s = maximum heigth, g = acceleration due to gravity.

Given: u = 0 m/s (at the maximum heigth), s = 7.0 m.

Constant: g = 9.8 m/s²

Substitute these values into equation 2

v² = 0²+ 2×7×9.8

v² = 137.2

v = √137.2

v = 11.71 m/s.

Also given: m = 1.50 kg

substitute these values into equation 1

Therefore,

I = 1.5×11.71

I = 17.565 kgm/s

Mass is 56.8 g and the volume is 10 mL what is the density

Answers

Answer: 5.68g/ML.

Explanation; Divide the mass of the unknown substance and the volume of the unknown substance and you will have your answer.

Hope this helps! ^^ if you can pls mark me brainiest!

a system absorbs 35J of heat and in the process it does 11J of work if the initial internal energy is 205J a,what is the final internal energy b,the system follows a different thermodynamic path to the same final state and does 15J of work, what is the heat transferred ?​

Answers

Answer:

\(a)uf = 205 + 35 - 11 \\ = 240 - 11 \\ = 229j \\ b)q(heat \: transferd) = 229 - 205 - 11 \\ = 24 - 11 \\ = 13j \\ thank \: you\)

The heat transferred is

a) u f = 205+35-11

      =240-11

      = 229 j

b) q (heat transferred ) = 223-205-11

   = 24-11

   = 13 j

What is the difference between course and process in thermodynamics?

While a thermodynamic gadget passes thru an exchange in the state, a succession of states exceeded could be termed as a course of the device or direction of an alternate country. If the route of change of kingdom is completely distinctive, route of alternate of the nation may be termed as thermodynamic manner.

The technique is described via a direction, which is the non-stop collection of consecutive states via which the machine passes, consisting of the initial nation, the intermediate states, and the very last state. The process has a course along the course.

An asset whose price would not depend upon the course taken to attain that unique price is thought to as kingdom capabilities or point features. In contrast, those capabilities which do depend upon the direction from points are referred to as course features.

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Three resistors of 100, 40.0, and
10.0 Ohms are in series with a
24.0 V power supply. What is the
current in the circuit?

Three resistors of 100, 40.0, and10.0 Ohms are in series with a24.0 V power supply. What is thecurrent

Answers

Answer:

0.16 A

Explanation:

V = IRtotal

24V = I(100 + 40 + 10)

I = 0.16 A

Answer: 0.16 is correct

Explanation:

a car accelerates uniformly from rest to a speed of 30.0 mi/h in 8.0 s. (a) find the distance the car travels during this time.

Answers

A car accelerates uniformly from rest to a speed of 30.0 mi/h in 8.0 s. the car travels a distance of 120 feet during the given time.

To find the distance the car travels during the given time, we can use the equation:

distance=(1/2)×acceleration×(time)^2

First, let's convert the speed from miles per hour (mi/h) to feet per second (ft/s) because the equation requires consistent units. We know that 1 mile is equal to 5280 feet and 1 hour is equal to 3600 seconds. Therefore:

speed=30.0×(5280/3600) ft/s

The car starts from rest, so its initial speed is 0 ft/s. The acceleration is the rate at which the speed changes, and in this case, it is uniform. To find the acceleration, we can use the formula:

acceleration= (change in speed)/time

acceleration=(30.0 ft/s−0 ft/s)/8.0 s

=3.75 ft/s^2

Now we can substitute the values into the distance formula:

distance=(1/2)×3.75 ft/s^2×(8.0 s)^2

=120 ft

Therefore, the car travels a distance of 120 feet during the given time.

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aridity is measured in terms of only rainfall. true or false?

Answers

False. Aridity is not measured solely in terms of rainfall. Aridity is a climatic condition characterized by a lack of moisture in the atmosphere, which can occur due to low precipitation, high evaporation rates, or a combination of both.

Therefore, while rainfall is a significant factor in determining aridity, it is not the only measure used to determine aridity. Other factors that can be considered when assessing aridity include temperature, humidity, and wind patterns, among others. Arid regions are typically associated with low levels of precipitation, high temperatures, and low humidity, which can create harsh living conditions for both humans and wildlife. Understanding aridity is essential for predicting and mitigating the impacts of climate change, which can exacerbate the aridity of certain regions and lead to droughts, wildfires, and other environmental disasters.

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In general as objects heat up, what happens to them?

Answers

Heat is a form of energy.

When heat is provided to any object, the molecules, and atoms of the object gain heat energy.

This energy results in an increase of kinetic energy of the molecules, which vibrate faster with more speed.

If more amount of heat is provided to the object, this results in the breaking of intermolecular forces, and the object changes its state(from solid to liquid).

Thus, objects when heated up gain energy which increases the internal energy of the object.

Help me plsss aleast with the ones u know I neeed helpp plsss

Help me plsss aleast with the ones u know I neeed helpp plsss

Answers

A. The research question is Does the new drug developed by Acme Labs cure headaches?

B. A hypothesis is "The new drug effectively cures headache in people diagnosed with headache.

C. In the experiment, The independent variable is the treatment the participants receive. The new drug for Group A and the placebo for Group B. The dependent variable is the pain rating measured in the clinic once per week.

What more should you know about the experimental and control group in research?

In this research, the experimental and control groups in this study are similar given to the fact that both group are made up of people who have been diagnosed with headaches. Also, all of them have their pain rating measured in the clinic once per week.

The experimental group is group A since they are the ones receiving the new drug. This group will help the researchers to truly to assess the effectiveness of the drug, which is if it cures headache effectively.

The control group is group B because they are receiving a placebo. This group is used as a baseline or standard to compare the results of the experimental group to. If it shows that their headache has been cured, it would be because of something else other than the drug.

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an ocean thermal energy power plant (aka heat engine) operates between the temperatures of 30 c (ocean surface) and 5 c (ocean at 2100 ft deep). the heat released by the power plant goes to 839 kg/s of ocean water at 5 c. this mass flow of water increased its temperature by 3.4 c. if the efficiency of the power plant is 2.5%, find how much power it generates.

Answers

The power plant produces 2,539.1 kW of power.

We can start by calculating the amount of heat absorbed by the power plant from the ocean at the surface:

Q_H = m*Cp*ΔT_H

where Q_H is the heat absorbed, m is the mass flow rate of water, Cp is the specific heat capacity of water, and ΔT_H is the temperature difference between the ocean surface and the power plant.

Q_H = (839 kg/s)*(4.18 J/(g·°C))*(30 °C - 5 °C)

Q_H = 101,562.2 kW

Similarly, we can calculate the amount of heat released by the power plant to the ocean at a depth of 2100 ft:

Q_C = m*Cp*ΔT_C

where Q_C is the heat released, ΔT_C is the temperature difference between the power plant and the ocean at a depth of 2100 ft.

ΔT_C = 3.4 °C

Q_C = (839 kg/s)*(4.18 J/(g·°C))*(3.4 °C)

Q_C = 11,575.2 kW

The efficiency of the power plant is given as 2.5%, which means that the power generated is:

η = W/Q_H

where η is the efficiency, W is the power generated, and Q_H is the heat absorbed.

W = η*Q_H

W = (0.025)*(101,562.2 kW)

W = 2,539.1 kW

Therefore, the power plant generates 2,539.1 kW of power.

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After 24.0 days 2.00 milligrams of an original 128.0. Milligram sample remain what is the half life of the sample

Answers

Answer:

4 days

either multiply 128 by .5 until you get to 2 counting each time or use 2 formulas ln(n2/n1)=-k(t2-t1) to get k then input k into ln(2)=k*t1/2

n2 is final amount and n1 is beginning and t is either time elapsed as in the first formula or the actual half life that is t1/2

Explanation:

The half life of the sample will be "4 days".

According to the question,

Let,

The number of half life = n

→  \(\frac{N}{N_o} = (\frac{1}{2} )^n\)

By substituting the values, we get

→  \(\frac{2}{128} = (\frac{1}{2} )^n\)

→    \(\frac{1}{64} = (\frac{1}{2} )^n\)

→ \((\frac{1}{2} )^6= (\frac{1}{2} )^n\)

→     \(n=6\)

So,

It takes 6 half life just to reduce from 128 mg - 2mg which is also "24 days".

→ \(6 \ half \ life = 24 \ days\)

Hence,

→ \(Half \ life = \frac{24}{6}\)

                   \(= 4 \ days\)

Thus the answer above is right.

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A runner circles a track of radius 100 m one time in 100 s at a constant rate. the greatest change in his velocity from his starting velocity:_____.

Answers

A runner circles a track of radius 100 m one time in 100 s at a constant rate. The greatest change in his velocity from his starting velocity occurs one-half of the way around the track..

As per the statement of the question, the runner covers the total distance in 100s.

The speed is constant but velocity is changing because the body keeps rotating in a circular path and due to this its position changes.

The change in velocity is termed as angular change θ.

For half circular the angular change is  θ and for the remaining half the angular change becomes - θ.

Thus the changes in his velocity from his starting velocity occurs one-half of the way around the track.

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While skydiving you are trained to deploy your primary canopy at an altitude of 5,500 feet above the ground. At the time of the deployment your velocity is equal to terminal velocity, 134mph. Your mass, prior to jumping, was 178 pounds with all your gear. It takes you exactly 76 seconds to touch the ground, what was the force of wind resistance from the parachute?

Answers

The force of wind resistance from the parachute is approximately 15.29 pounds.

What was the force of wind resistance from the parachute?

Generally, We can solve this problem using the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. At the instant the parachute is deployed, the skydiver's kinetic energy is given by:

K1 = (1/2)mv1^2

where m is the mass of the skydiver and gear, and v1 is the terminal velocity of 134 mph (which we convert to feet per second by multiplying by 1.47).

K1 = (1/2)(178 lb + gear)(134 mph x 1.47 ft/s/mph)^2

= 84,080 ft-lb

At the moment the skydiver touches the ground, their kinetic energy is zero, so the work done by the wind resistance from the parachute is equal to K1. The work done by a force is given by:

W = Fd

where F is the force, and d is the distance over which the force acts. In this case, the force is the wind resistance from the parachute, and the distance is the distance traveled by the skydiver from the deployment altitude of 5,500 feet to the ground.

d = 5,500 ft

So we can solve for the force as:

F = K1 / d

= 84,080 ft-lb / 5,500 ft

= 15.29 lb

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What is the frequency of a wave that has a period of 0.002 seconds?

Answers

Answer:

The frequency of a wave whose time period is 0.002 second is 500 Hz

Explanation:

Given,

Time period of wave = 0.002 seconds

We know,

Frequency = 1 / Time period

Substituting the values;

= 1 / 0.002sec

= 1000/2

Frequency =  500Hz

Hence,

The frequency of a wave whose time period is 0.002 second is 500 Hz

What do comets and asteroids have in common?

Answers

Answer:

Asteroids and comets have a few things in common. They are both celestial bodies orbiting our Sun, and they both can have unusual orbits, sometimes straying close to Earth or the other planets. They are both “leftovers” — made from materials from the formation of our Solar System 4.5 billion years ago. But there are a few notable differences between these two objects, as well. The biggest difference between comets and asteroids, however, is what they are made of.

While asteroids consist of metals and rocky material, comets are made up of ice, dust, rocky materials and organic compounds. When comets get closer to the Sun, they lose material with each orbit because some of their ice melts and vaporizes. Asteroids typically remain solid, even when near the Sun.

Right now, the majority of asteroids reside in the asteroid belt, a region between the orbits of Mars and Jupiter which may hold millions of space rocks of varying sizes. On the other hand, the majority of comets are in the farthest reaches of our Solar System: either 1. in the Kuiper Belt — a region just outside the orbit of the dwarf planet Pluto that may have millions of icy comets (as well as many icy dwarf planets like Pluto and Eris); or 2. the Oort Cloud, a region where trillions of comets may circle the Sun at huge distances of up to 20 trillion kilometers (13 trillion miles).

Answer:

they are both leftovers materials

Explanation:

think about how the solar system is made the comets and asteroids are both rocks and remains of the solar system


When nonmetals such as nitrogen and phosphorus are solids, they tend to be?
A
brittle
B
dense.
С
malleable
D
shiny

Answers

Answer:

answer is A hope this helps

Explanation:

According to the characteristics of non-metals such as nitrogen and phosphorous  which are solids they are also brittle.

What are the characteristics of non-metals?

Non-metals do not possess luster and are dull . They are not malleable and ductile and are soft due to the covalent bonding present in them . Non-metals on the other hand owing to their soft nature have low melting points.

Non-metals have four to seven valence electrons owing to which they usually form covalent bonds. They are poor conductors of heat and electricity  and are mostly in liquid or gaseous state.They are widely used in the manufacture of fertilizers , in rocket fuels and in the form of graphite in pencil leads.

Non-metals have high ionization energies  and high electronegativities.

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a truck hits a brick wall with a force of 100 000 kg m/s2. the truck comes to a stop in 0.5 s. calculate the impulse the truck experienced

Answers

Answer:

\(\huge\boxed{\sf I = 50,000\ Ns}\)

Explanation:

Given data:

Force = F = 100,000 N

Time = t = 0.5 s

Required:

Impulse = I = ?

Formula:

I = F × t

Solution:

I = 100,000 × 0.5

I = 50,000 Ns

\(\rule[225]{225}{2}\)

A certain one-dimensional conservative force is given as a function of x by the expression F = -kx^3, where F is in newtons and x is in meters. A possible potential energy function U for this force is

A certain one-dimensional conservative force is given as a function of x by the expression F = -kx^3,

Answers

Answer:

Choice D

Explanation:

F(x) = -kx^3

Integrate F(x) with respect to x:

U(x) = - ∫ F(x) dx

= - ∫ (-kx^3) dx

= k/4 * x^4 + C

C is a constant of integration. Find C by specifying the potential energy at a particular value of x. To make it easy, assume that U = 0  at x = 0:

U(0) = k/4 * 0^4 + C = 0

C = 0

Therefore, the potential energy function for the given force F = -kx^3 is:

U(x) = k/4 * x^4

Choice D:  U = \(\frac{1}{4}\)kx⁴

A 2400W electric toaster is connected to a standard 120 V wall outlet. A family

measured their monthly toaster usage to be 6.5 hrs.

1) How much electrical energy (in kilowatt hours - kWh) did the toaster dissipate

during the measured month? (round to 1 decimal place & do not include units)

2) If the local power company charges $0.13/ kWh, then calculate (in $) the monthly

total cost of this toaster. (round to 2 decimals & do not include units)

Answers

Answer:

1)  energy = 15.6 kWh,  2)    total_cost = $ 2.03

Explanation:

1) The energy dissipated is the product of the power and the time of use In a month it was used t = 6.5 h and the power of the toaster is

P = 2400 W = 2,400 kW

       energy = P  t

       energy = 2,400  6.5

        energy = 15.6  kWh

using rounding to a decimal

        energy = 15.6 kWh

2) The cost of energy is unit_cost = $ 0.13 / kWh

so the total cost

         total_cost = energy    unit_cost

         total_cost = 15.6   0.13

         total_cost = $ 2.028  

rounding to two decimal places

         total_cost = $ 2.03

How many joules per coulomb are given to charges that flow in a 120-volt circuit?​

due tmr!! please help

Answers

The number of joules per coulomb for 120-volt circuit is 120 joules/C.

What is the number of Joules flowing in the circuit?

The amount of energy transferred to each unit of charge is given by the voltage or potential difference between two points.

The unit of potential difference is the volt, which is equivalent to one joule per coulomb.

So if we have a 120-volt circuit, each coulomb of charge that flows between two points receives 120 joules of energy.

Energy per unit charge = Potential difference

= 120 volts

= 120 joules/coulomb

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A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.

Answers

(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.

(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:

Energy = Power × Time

Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:

Time = Energy ÷ Power

Converting the energy to watt-hours (Wh):

Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh

Converting the power to watt-hours (Wh):

Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh

Now we can calculate the time:

Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours

Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.

(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.

In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.

This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.

(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.

In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.

(d) The electromagnetic field output from an antenna can be represented by two main regions:

Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.

Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation.  The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.

The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.

In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.

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A 25 kg sign is hanging at rest from a single rope.

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this question doesn’t make sense

To determine the displacement, we first identify the initial and final positions. The initial position is Xi= 5.0m, and the final position is
Xf= 8.0m. Therefore, the displacement is

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The displacement of the object is determined as 3.0 m.

What is displacement?

The displacement of an object is the change in the position of the object.

displacement = Δx = xf - xi

where;

xf is the final position of the object'xi is the initial position of the object

Δx = xf - xi

Δx = 8.0 m - 5.0 m

Δx = 3.0 m

Thus, the displacement of the object is determined as 3.0 m.

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