A 10 m wide river is flowing south at 3 m/s and you you swim at and angle of 30 degrees north of directly east at 1 m/s. How far do you drift up stream or down stream from your starting point once you reach the other side?

Answers

Answer 1

Once you reach the other side of the river, you will drift approximately 5.77 meters downstream from your starting point.

When swimming across a 10 m wide river flowing south at 3 m/s and with a swimming speed of 1 m/s at an angle of 30 degrees north of directly east, you will drift downstream from your starting point once you reach the other side. The exact distance of the drift can be calculated using trigonometry.

To determine the distance of the drift, we can break down the velocities into their horizontal and vertical components. The river's velocity is entirely horizontal, flowing south at 3 m/s, while your swimming velocity has a horizontal component of 1 m/s and a vertical component of 1 m/s * sin(30°) = 0.5 m/s.

Since the river is flowing south and your swimming direction is slightly east of north, the combined effect of the velocities Pythagorean theorem will cause you to drift downstream. The horizontal component of your swimming velocity will counteract the river's horizontal flow to some extent, but the vertical component will contribute to your drift downstream.

To calculate the distance of the drift, we can use the time it takes to cross the river. Assuming the river's width of 10 m, it would take 10 m / (1 m/s * cos(30°)) = 10 m / 0.866 = 11.55 s to cross. During this time, you will drift downstream by 11.55 s * 0.5 m/s = 5.77 m.

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Related Questions

Which player is serving the ball? OA. The receiver OB. The opponent OC. The server OD. None of the above​

Answers

The player serving the ball is the server.

option C is the correct answer.

Who is the sever in a game of ball?

The right back player of the serving team shall be the first server of the game. In volleyball, the serving player will always be the player that is standing in position 1.

After the right back player of the serving team start the serving process of the game, afterwards the player rotating from the right forward to the right back position shall be the server (clockwise rotation). Rotation occurs after opponents side-out.

Thus, the player that serves the ball is known as the server.

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Please answer by 8 pm!!! Thank you so much!!

Answers

Answer:

c) 3

Explanation:

Answer:

c) 3

Explanation:

through process of elimination we can find the correct row

-Row 1 says blood cells, however the picture includes lungs so we eliminate that option

-Row 2 says absorption for the first image but once again that shouldn't include lungs

-Row 4 is very obvious that it is wrong because coordination has nothing to do with the intestines

which only leaves answer c

Starts at rest at 3m to the right after 10s he is traveling 2m/s to the left where does he end up

Answers

According to the given statement He ends up 100m to the left of its starting point.

What is acceleration and give explanation for above questions?

Acceleration is the rate of change of velocity over time, or the change in speed and direction of an object. It can be measured in meters per second squared (m/s²).

He starts at rest 3 meters to the right, and after 10 seconds it is traveling 2 meters per second to the left.

To find out where he ends up, we can use the equation for distance: distance = initial velocity x time + (1/2) x acceleration x time^2.

Since the he starts at rest, its initial velocity is 0 m/s. he is moving to the left, so its acceleration is -2 m/s^2 (negative because he is moving in the opposite direction).

Therefore, the distance he  travels :

-distance = 0 x 10s + (1/2) x (-2 m/s^2) x (10s)^2

-distance = -100m

So he ends up 100m to the left of its starting point.

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Scenario
Two different boxes are pushed from rest on a frictionless surface for a time t, with differing forces. Using Representations
PART A: Identify the box system by circling the objects inside the system with a dotted circle.
PARTB: The dots below represent the two boxes. Draw free-body diagrams showing and labeling the forces (not components) exerted on each bex Draw the relative lengths of all vectors to reflect the relative magnitudes of all the forces. Identify the external forces.
ART C: Sketch a graph of the net external force vs. t for each box on the same axis by using two different
colors and providing a key.
Quantitative Analysis
PART D: Using the equation for the area of a rectangle, A= bh, write two equations, one with words and one
with units, for the area of the rectangle between the net external force vs. time line and the x-axis on the
graph created in Part C.
(Hint: Check units!)
PART E: Re-represent the data above by creating a momentum diagram for each box on the same set axes
by using two different colors and providing a key. (A momentum diagram represents the momentum
of an object or system by showing the mass of the object as the width of bar on the chart, and the
velocity of the object as the height of the bar
PART F: Is the impulse given to the first bex while speeding up greater than, less than, or the same as the
impulse given to the second box while speeding up? Justify your ranking

Answers

Representations of Each Part are:

PART A:

The objects inside the system are the two boxes, they should be circled with a dotted circle.

PART B:

Free-body diagrams showing and labeling the forces (not components) exerted on each box. Draw the relative lengths of all vectors to reflect the relative magnitudes of all the forces and identify the external forces.

PART C:

Sketch a graph of the net external force vs. t for each box on the same axis will using two different colors and providing a key.

PART D:

Using the equation for the area of a rectangle, A= bh, the area of the rectangle between the net external force vs. time line and the x-axis on the graph created in Part C can be written as:

With words: The area of the rectangle is equal to the base times the height.

With units: A = (Fnet)(t) N × s

PART E:

Re-represent the data above by creating a momentum diagram for each box on the same set axes by using two different colors and providing a key. (A momentum diagram represents the momentum of an object or system by showing the mass of the object as the width of bar on the chart, and the velocity of the object as the height of the bar.

PART F:

This part whether the impulse given to the first box while it is speeding up is greater than, less than, or the same as the impulse given to the second box while it is speeding up. Impulse is the product of force and time and it is the change in momentum.

THE RANKING OF FORCES AND IMPULSE

To determine the ranking of the impulse given to the two boxes, we would need to know the specific forces applied to each box and the duration of time over which those forces were applied. The impulse experienced by an object is the product of the force applied and the time over which it was applied. Without this information, it is not possible to determine whether the impulse given to the first box was greater than, less than, or the same as the impulse given to the second box.

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A turntable rotates with a constant 2. 25 rad/s^2 angular acceleration. After 4. 00 s it has rotated through an angle of 60. 0 rad. What was the angular velocity of the wheel at the beginning of the 4. 00-s interval?.

Answers

The angular velocity of the wheel at the beginning of the 4 s interval is calculated as 3 rad/s.

Given that,

Angular speed of turntable = 2.25 rad/s²

Time of motion, t = 4.0 s

Angular displacement, θ = 60 rad

The wheel's angular velocity at the start of the 4 second period is computed as follows,

θ = ωi t + 1/2 α t²

where, ωi is initial angular velocity

30 = ωi (4) + 1/2 × 2.25 ×4²

4 ωi + 18 = 30

4 ωi = 12

ωi = 3 rad/s

Thus, the angular velocity of the wheel at the beginning of the 4 s time is 3 rad/s.

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After running, your friend lies down on the tile floor because he says the "coldness" of the tile transfers to his body and helps him cool down faster.
Is his statement correct? Explain your reasoning in complete sentences. Help please thank you

Answers

Energy floating hands with a constant chill. growing desire to resist the Führer Only after he had a difficult time recovering from his push-ups.

Which scenario best exemplifies convectional heat transfer?

steaming water Heat from the flame travels into the saucepan when the water boils, warming the liquid at the bottom of the pan. As the hot water rises as well as the cooled water falls to replace it, a passed through ( transmitted is produced.

How can convection efficiently move heat?

Thermal energy is transferred from heated to cool places by convection. Convection is the process by which warmer portions of a gas or liquid move toward cooler areas of the same liquid or gas. Then, cooler liquid or gas replaces the heated portions that have ascended higher.

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A football punter wants to kick the ball so that it is in the air for 3.6 s and lands 50 m from where it was kicked. Assume that the ball leaves 1.0 m above the ground.

At what angle should the ball be kicked?
With what initial speed should the ball be kicked?

Answers

Answer:

H = Vy t - 1/2 g t^2     height after time t

Vy t = H + 1/2 g t^2

Vy = H / t + 1/2 g t

Vy = -1 / 3.6 + 4.9 * 3.6 = 17.4 m/s      initial vertical speed

Vx = 50 / 3.6 = 13.9 m/s

tan θ = 17.4 / 13.9 = 1.25    θ = 51.4 deg

Ball should be kicked at 51.4 deg

V = (17.4^2 + 13.9^2)^1/2 = 22.3 m/s         initial speed

As a check use range formula

R = 22.3^2 sin 102.8 / 9.80 = 49.5 m

That is slightly less than 50m as it should be since its height would be zero after being given the initial speed

c. If the box experiences a force of 15 N to the left, along with the 20 N force acting to the right, what is the net force on the box?

Answers

According to the data given in the question the net force on the box is of 5 N.

What does net force mean?

All of the forces that are applied to an object are added up to form the net force. As a consequence of the fact that it (force) is a vector and therefore that two forces with identical magnitudes and opposing directions cancel each other out, the resultant force is the total of the forces, or put another way, the net force is just the total of all the forces.

Given data :

Force on box to the left side (F1) = 15 N

Force on box to the right side (F2) = 20 N

Because both forces are in opposite direction

Hence,

Net force = F2 - F1

Net force = 20 - 15

Net force = 5 N.

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how do you describe the speed at which you can sew

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We can describe the sew speed as, calculate the measured stitches per unit and divide by reduction ratio.

Sewing machines are invented during the first Industrial Revolution to decrease the amount of manual sewing work performed in clothing companies. The speed is an important issue for sewing. All machines are not same, all operators are not equal experienced in production, quality expectation, stitch type, etc.

Since the invention, the efficiency and productivity of the clothing industry has been greatly improved. Now various types of sewing machines are used for sewing depending on different stitches. Most of them are automatic and run by motor.

When stitch is formed, three things come into factor such as needle thread, fabric types and bobbin thread or looper thread (Webster et al., 1998). Seam strength completely depends on quality of fabric and sewing machine.

Sewing thread needs to choose according to the properties of fabric (Chowdhary et al., 2006). Since seam strength is dependent on the thread strength, a reduction in thread strength during sewing will lead to lower seam strength.

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As the first five elements in group 15 are considered in order of increasing atomic number.

Answers

As the atomic number of group 15 elements increases, the first ionization energy drops/decrease. (option 1).

The energy needed to remove one electron from an atom is known as the ionization energy.

The members of the group 15 are N, P, As, Sb, Bi, and Mc.

The initial ionization energy is the force required to expel an electron from a neutral atom in the gaseous state. The general electron configuration for the valence shell of the elements in group 15 is ns² np³, where n is the primary quantum number (the same number of the row in which the element is).

As you move lower in the group, n rises, the valence electrons are farther from the nucleus, which means that their attraction to the nucleus is diminished. As a result, as you move down in the group, the electrons will be more readily removed, requiring less energy to do so.

This enables you to forecast the following arrangement in the initial ionization energies:

N > P > As > Sb > Bi > Mc

The question is incomplete, it should be:

As the first five elements in group 15 are considered in order of increasing atomic number, first ionization energy

(1) decreases

(2) increases

(3) decreases, then increases

(4) increases, then decreases

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∆V (Voltage)
I (current)
R (resistance)
4V
2A
2 Ω
12V
8A
4 Ω
6V
3A
3





Inspect your data and write an equation that relates the ∆V to the I and R values. Support your claim with evidence and reasoning.

Answers

The equation relating voltage, current and resistance is V = IR, this is because voltage in a circuit increases with increase in current and resistance and vice versa.

What is Ohm's law?

Ohm's law states that the current flowing in a conductor is directly proportional to the voltage across the conductor.

Mathematically, the formula for Ohm's law is given as;

V = IR

where;

V is the voltage in the circuitI is the current flowing in the circuitR is the resistance of the circuit

The given data

Voltage ( V )       Current ( I )      Resistance ( R)

4                               2                          2

12                              8                          4

6                               3                           3

From the equation given above, the voltage in the circuit increases with increase in the current and resistance and decreases with decrease in the current and resistance.

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An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4. 00 s. How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part (a)?.

Answers

Time of 6.667 seconds is required for the fan to come to rest at constant angular acceleration.

What is angular velocity?

Rotational velocity, sometimes referred to as angular frequency vector, is a pseudovector that depicts how quickly an object's angular position or orientation varies over time and is termed as angular velocity.

To find:

now we know that[tex]w= 0\frac{rev}{s}[/tex] ,[tex]w0\frac{25}{3 \ }\frac{rev}{s}[/tex] and α = [tex]\frac{5}{4}\frac{rev}{8^{2} }[/tex]

t= 0-25/3 whole upon -5/4

t= 6.667s

Hence, time of 6.667 seconds is required for the fan to come to rest at constant angular acceleration.

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The complete question is :

An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4.00 s.

(a) Find the angular acceleration in rev/s^2 and the number of revolutions made by the motor in the 4.00-s interval.

(b) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part (a)?

An object of mass m is at rest at the origin at time t=0. At that time, a force f=at2 (where a is a positive constant and f is in newtons when t is in seconds) is applied to the object. After 2s, the velocity of the object in m/s will be.

Answers

An object of mass m is at rest at the origin at time t = 0. After 2 s, the velocity of the object in m/s will be 8a/3m.

Given that, F(t) = a t² ---(1)

We know that, F(t) = m a(t)

m a(t) can also be written as m dv/dt

m a(t) = m dv/dt ---(2)

(as we know, acceleration is the rate of change of velocity)

Equating (1) and (2), we have,

m dv/dt = a t²

m dv = a t² dt

dv = a/m t² dt

Integrating on both sides, we have,

∫ dv = a/m ∫ t² dt

v = a/m (t³/3)

At t = 2 s, we have velocity v as v = a/m (8/3) = 8a/3m

Thus, the required velocity of the object of mass m after 2 s is calculated to be 8a/3m.

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Sara has a fire in the fireplace to warm her 20°C apartment. She realizes that she has left the iron poker in the fire. How hot is the fire if the 0.60 m poker lengthens 0.30 cm? (αiron = 12 x 10-6°C-1)

Answers

The variation of temperature 437°C ,if Sara fire in the fireplace to warm her 20°C apartment.

What temperature can I refuse to work in?

Although there's no legally defined maximum or minimum temperature for working, health and safety guidance is that a reasonable temperature should usually be at least 16°C. If much of the work involves a lot of physical effort, it's 13°C.

What temperature is too hot for humans?

People often point to a study published in 2010 that estimated that a wet-bulb temperature of 35 C – equal to 95 F at 100 percent humidity, or 115 F at 50 percent humidity – would be the upper limit of safety, beyond which the human body can no longer cool itself by evaporating sweat from the surface of the body

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49. A car traveled during two third of the total time with a peed of 10 m /. The car' average peed during the total time i 15 m /. What i the peed of the car in the remaining one third of the time?

Answers

The speed of the car in the remaining one third of the time is 25 m/sec.

The speed of the car during two-third(2t/3) of the total time= 10 m/sec

Average speed of the car during the entire journey = 15 m/sec

Let the total time taken by the car during the entire journey = t sec.

Average speed of an object is defined as the ratio of the total distance and the total time taken by the object during the entire journey.

Average speed = total distance/total time

Total distance = Average speed of the object × total time taken by the object

Total distance = 15×t = 15t

Distance covered during the 2t/3 time = 10×2t/3 = 20t/3

Remaining distance = 15t - 20t/3

= 25t/3

Remaining time = t- 2t/3 = t/3

So the speed during the remaining journey = (25t/3)/(t/3)

= 25 m/sec.

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What types of cooling systems do EVs and HEVs have?

Answers

Electric Vehicles (EVs) and Hybrid Electric Vehicles (HEVs) use a range of different cooling systems to ensure that their batteries, motors, and other components are kept at optimal temperatures.

Generally, EVs and HEVs use air-cooling systems that draw air over the components to keep them from overheating. Some EVs and HEVs also have liquid-cooling systems, which use coolant to more efficiently dissipate heat away from the components.

Additionally, some EVs and HEVs use a combination of both air and liquid cooling systems for maximum efficiency.

Electric Vehicles (EVs) and Hybrid Electric Vehicles (HEVs) have different cooling systems to keep their batteries and motors running optimally.

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1.An electric pencil sharpener is has a current of 0.05A.The voltage
is 6v. What is the resistance?

Answers

The answer is 120 OHM
Step by step explanation
R=v/I
Let v=6 and I=0.05
So R = 6/0.05
R=120 OHM

A block with the mass of 14.26kg is sliding down a ramp with an incline of 41 degrees at 2.361 m/s^2. WHat is the coefficient of kinetic friction?

Answers

Answer:

To calculate the coefficient of kinetic friction between the block and the ramp, you would need to know the force of kinetic friction acting on the block as it slides down the ramp.

This force can be determined using the equation:

F_friction = friction_coefficient * F_norm

where F_friction is the force of kinetic friction, friction_coefficient is the coefficient of kinetic friction, and F_norm is the normal force acting on the block.

The normal force, F_norm, is equal to the weight of the block, which is the force of gravity acting on the block. This can be calculated using the equation:

F_norm = m * g * cos(theta)

where m is the mass of the block, g is the acceleration due to gravity (approximately 9.8 m/s^2), and theta is the angle of incline of the ramp.

In this case, we know the following values:

mass: 14.26 kg

angle of incline: 41 degrees

velocity: 2.361 m/s^2

By using the law of Kinetic Friction force = friction coefficient * Normal force,

friction_coefficient = F_friction / F_norm

You can then solve for the coefficient of kinetic friction by measuring the force of friction. or by measuring the acceleration of the block and using the equations of motion.

Uday Tahlan

________ strongly influences the amount of energy generated from hydropower.

Answers

The volume of water released and the height of fall strongly influences the amount of energy generated from hydropower.

Hydropower definition

Hydropower is an alternative energy for generating electrical power by utilizing water to power machines.

In simple terms, Hydropower or water power is energy produced from flowing water.

In fact, water will not decrease when it is used in the energy utilization process. The reason is, the water cycle is an infinite and continuous recharging system, hydropower is considered a renewable energy. Apart from being more go green, the use of water can support a better natural cycle but must be accompanied by supporting equipment.

How does it work

Some hydroelectric power plants are powered by the kinetic energy of flowing water as it moves downstream. Turbines and generators convert energy into electricity, which is then fed to the electrical grid for use in homes, businesses, and industry.

The Positive Side of Hydropower

With the presence of hydropower energy, a country especially like Indonesia which is rich in natural resources is very effective in using this natural energy to make electricity.

In addition to abundant water that can be used for free, hydropower also produces clean energy without pollution and free from air pollution. This energy source is also always renewed automatically by nature when the rainy season arrives. Therefore, so that water is not wasted, the government must provide extra proper drainage facilities both for the needs of the hydropower cycle and for drainage to the sea.

The Negative Side of Hydropower

It doesn't always bear fruit, it turns out that the existence of Hydropower also has a negative side effect which needs to be an important note.

Viewed from the negative side, this water-dependent power source can damage marine life and natural resources. Migration patterns of fish will be disrupted which will eventually damage fish populations. Another consequence of hydropower is the decrease in oxygen levels in the water which endangers fish habitat. If there is no special review, the marine ecosystem will collapse so that people's lives can be disrupted.

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Help please thank you

Answers

Answer: Sun

Explanation:

Pretty sure it's the sun because the others can't generate electrical energy

If teacher shines a flashlight across a room, only the students sitting directly in line with the light beam will be able to see it. If teacher then shines the flashlight on the wall, the entire class will be able to see the spot of the light beam on the wall. Explain why.

Answers

This is because light travels in a straight line, so only the students sitting directly in line with the light beam would be able to see it. When the flashlight is shone on the wall, the light reflects off the wall and spreads out, so everyone in the room is able to see the spot of light.

What is light beam?

Light beam is a type of electromagnetic radiation that travels in a straight line. It is composed of tiny particles called photons, which carry energy and move at the speed of light. Light beams can be generated from sources such as the sun, flashlights, lasers, and other light-emitting devices. Light beams typically have a narrow diameter and can be focused in a specific direction to create very intense light. Light beams can also be used to transmit information, such as in fiber-optic cables. Light beams are used in a variety of applications, including photography, astronomy, communications, and medicine.

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A wave generated on a slinky has a frequency of 5 Hz and a wavelength of 0,75 m. Calculate its speed​

Answers

Answer:

The speed of a wave is given by the equation:

Speed = Frequency x Wavelength

Given that the frequency of the wave is 5 Hz and the wavelength is 0.75 m, we can substitute these values into the equation:

Speed = 5 Hz x 0.75 m

Speed = 3.75 m/s

Therefore, the speed of the wave generated on the slinky is 3.75 m/s.

It's important to note that the speed of a wave depends on the properties of the medium through which it travels and not on the properties of the source of the wave.

Answer:

  The speed is  3.75

Explanation:

The relationship between wavelength and frequency is described by this simple equation:

                            λ = v/f

wave length (T) = 0.75m

frequency (f) = 5Hz

                      0.75 = v / 5

                       0.75*5 = v

                      v=3.75

describe a situation in which work is being done

Answers

A box being moved across the room by a mover. A pool chair is blown across the yard by wind. A barbell is raised off the ground by a weightlifter.

Do weightlifters have strength?

Flexibility is important. In addition to being exceptionally strong and powerful, weightlifters are also very flexible. In fact, they are some of the most flexible athletes. To perform this same lifts with the required ranges of motion, extreme levels of versatility are needed.

Is lifting weights a skill?

Lifting weights is a skill. Additionally, it is preferable to study, acquire, and hone talents when you are rested and alert. You'll have to have some gas left in the barrel if you desire to be able to study it again in only a few of days.

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Answer:when you lifting weights

Explanation:

HELP PLEASE HELP PLEASE HELP PLEASE

Answers

2.5 because you will divide those two number:

particles q1=+18.1uC, q2=-11.2uC, and q3=+5.67uC are in a line. particles q1 and q2 are separated by 0.280m and particles q2 and q3 are separated 0.350m. what is the net force on particle q2?

Answers

The net electric force on particle q2 is 27.81 N.

What is the net force on the particle q2?

The net force on the particle q2 is calculated by applying Coulomb's law of electrostatic force.

The force on particle q1 due to particle q2 is calculated as;

F ( 12 ) = kq₁q₂/r²

where;

q1 is the charge of particle 1q2 is the charge of particle 2r is the distance between particle 1 and 2k is Coulomb's constant

F ( 12 ) = ( 9 x 10⁹ x 18 x 10⁻⁶ x 11.2 x 10⁻⁶ ) / ( 0.28² )

F ( 12 ) = 23.14 N

The force on particle q3 due to particle q2 is calculated as;

F (23) = kq₃q₂/r²

F (23) = (9 x 10⁹ x 5.67 x 10⁻⁶ x 11.2 x 10⁻⁶)/(0.35²)

F (23) = 4.67 N

The net electric force on particle q2 is calculated as follows;

F (net) = 23.14 N + 4.67 N

F (net) = 27.81 N

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Why energy management control system is required in HEV?

Answers

To reduce fuel consumption while maintaining vehicle performance, driver comfort, and component constraints energy management control system is required in HEV.

A supervisory algorithm, also known as an energy management strategy, is necessary for hybrid vehicles to control the different parts of the drivetrain. Usually, when designing an energy management strategy, we face two challenges.

First off, the nonconvex cost function produced by the components' nonlinear behavior makes the employment of optimization techniques more challenging. There are several methods mentioned for dealing with nonconvexity.

Second, it is unknown what the future power and velocity trajectories will be. Using historical or projected vehicle velocity and road grade trajectories to forecast future trajectories could aid in finding a solution that is close to ideal.

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A force of 2. 2x10^4 N needed to lift a 2270 kg tone block. Uing the equation work=force x ditance, determine how much work i required to lift uch a blocki of ditand of 2 m

Answers

The work required to lift the block with a force of 2.2 · 10⁴ N at the distance/displacement of 2 meters is equal to 44,000 joules.

Force, according to Newton's law of motion, is equal to mass times acceleration. Newton is the standard unit of force. For an object to accelerate, there must be a net force acting on it.

When a force acts on an object and makes it move, the object is said to transfer energy. This is called work in physics. Mathematically speaking, work W is equal to force F times distance x (W = F · x). Joule is the standard unit of work.

Suppose that F equals 2.2 · 10⁴ newtons and x equals 2 meters. The work done is calculated as follows:

W = F · x

W = 2.2 · 10⁴ · 2

W = 44,000 joules

We have confirmed that the work needed to lift the block is equal to 44,000 joules.

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The primary coil in a transformer has 160 turns and is opperating at 151 V. If the secondary coil has 4,529 turns what will be the voltage in the secondary
coil?

Answers

Where Vp is the primary voltage, Vs is the secondary voltage, Np is the number of loops in the primary coil, and Ns is the number of loops in the secondary coil.

How do you find the voltage in a primary coil?The ratio of the primary and secondary voltages in a transformer is the same as the proportion of loops in the primary and secondary coils. Where Np is the number of loops in the primary coil, Vp is the primary voltage, Vs is the secondary voltage, and Vp and Ns are the number of loops in the secondary coil. We specifically know that the ratio of the potential difference V across these coils to the number of turns N in the input and output coils is the same. The equation is V input divided by V output, where V input is equivalent to N input divided by N output. You may calculate a ratio by taking the larger number of turns and dividing it by the lower number of turns.

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Consider a network of 8 nodes A-H as shown below. The delay vectors
received from the neighbors of node F are also shown. Use the Distance Vector Routing
algorithm to calculate the new estimated delays from node F and the lines for those estimates.

Answers

The delay vector for node F as follows:

F: [5, 2, ∞, ∞, ∞, 0, ∞, ∞]

This means that the estimated delay from node F to node A is 5, to node B is 2 and to node F itself is 0. And all other nodes are unreachable.

THE DISTANCE VECTOR ROUTING ALGORITHM

The Distance Vector Routing algorithm, also known as Bellman-Ford algorithm, is used to calculate the shortest path from a given source node to all other nodes in a network.

To calculate the new estimated delays from node F, we first initialize the delay vector for node F as follows:

F: [0, ∞, ∞, ∞, ∞, ∞, ∞, ∞]

Next, we update the delay vector for node F using the delay vectors received from its neighbors. For example, using the information provided in here, we can update the delay vector for node F as follows:

F: [5, 2, ∞, ∞, ∞, 0, ∞, ∞]

This means that the estimated delay from node F to node A is 5, to node B is 2 and to node F itself is 0. And all other nodes are unreachable.

We then repeat this process of updating the delay vector until the estimates converge and no further updates are required.

This is a simplified process and in real world scenario there will be more number of nodes and edges, and also the cost of each edge will be different.

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Jakku has half the density of earth and 1/3 the radius. What is the ratio of the acceleration due on gravity on Jakku to that of Earth’s? (Hint: density= p= m/v)

Answers

The two masses of the Jakku and earth are of no use. The ratio of their acceleration due on gravity is 9 : 1

What is Gravitational Field Strength ?

Gravitational Field strength can be defined as the ratio of gravitational force to unit mass.

Given that Jakku has half the density of earth and 1/3 the radius. What is the ratio of the acceleration due on gravity on Jakku to that of Earth’s?

The acceleration due on gravity is the same as gravitational Field strength. That is,

g = GM/r²

The gravitational Field strength of Jakku of radius r/3 will be

g = GM/(r/3)²

g = GM/(r²/9)

g = 9GM/r²

The gravitational Field strength of earth of radius r will be

g = GM/r²

The mass M is the mass of the sun. The ratio of the acceleration due to gravity on Jakku to that of Earth’s will be

9GM/r² ÷ GM/r²

9/1 or 9 : 1

Therefore, the ratio of the acceleration due to gravity on Jakku to that of Earth’s is 9 : 1

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