Please solve the Problem.

Please Solve The Problem.

Answers

Answer 1

The electric flux is - 4.80 × 10∧5 N m2 C-1

How to calculate the electric flux

Use the formula:

Electric flux, ΦE = EScosθ

Where,

E = electric flux

S = area of the rectangular surface = length × breadth = 6.00 × 3.00 = 18.00 m²

E = magnitude = 2. 70 × 10∧4 N/C

θ = the angle between the electric field lines = 15. 7°

Substitute the values into the equation

EФ =  2. 70 × 10∧4 × 18. 00 × Cos (15.7)

EФ = 2. 70 × 10∧4 × 18. 00 × -0.9999

EФ= - 4.79 × 10∧5 N m2 C-1

Therefore, the electric flux is - 4.80 × 10∧5 N m2 C-1

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Related Questions

Why should we invest more money in renewable energy resources

Answers

Answer:

It is the smarter option.

Explanation:

Renewable energy is the cheapest source of new power generation for more than two-thirds of the world and has no fuel costs. It can reduce the economic burden of energy bills by eliminating fuel charges — especially when coupled with energy-efficiency upgrades in our homes and businesses.

If I start at point A run around the room and return to point A what is my displacement? Why?
PLEASE ANSWER SOMEBODY QUICKLY PLEASEEEEEEE

Answers

It would be none because u are back in the original spot.

M
An 80% furnace's discharge air temperature is 125 degrees F and is adding heat to a space at the rate of 80,000 BTU's an hour. What is the input rating of the furnace?
a. 60,000 Btu's
b. 120,000 Btu's
c. 75,000 Btu's
d. 100,000 Btu’s

Answers

D. The input rating of the furnace is determined as 100,000 BTU.

What is input rating?

Input power rating means the power, expressed in Watts or one of its multiples, for which the energy storage unit has been designed to operate at nominal conditions.

eff = (output rating / input rating) x 100%

80/100 = 80,000 BTU / input rating

0.8 = 80,000 BTU / input rating

input rating = 80,000 BTU/0.8

input rating = 100,000 BTU

Thus, the input rating of the furnace is determined as 100,000 BTU.

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In a pipe of 90mm diameter, water is flowing with a mean velocity of 2m/s at a gauge pressure of 350KN/M². Determine the total head, if the pipe is 8m above the datum.​

Answers

The total head of the pipe is 430,400 Pa.

What is the total head of the pipe?

The total head of the pipe is the total pressure of the pipe and it is calculated as follows;

Pt = Pi + ¹/₂ρv² + ρgh

where;

Pi is the gauge pressure ρ is density of waterv is the speed of the waterh is the height of the water above the ground

Pt = ( 350,000) + ¹/₂(1000)(2)²  +  (1000 x 9.8 x 8)

Pt = 430,400 Pa

Thus, the total head or total pressure of the pipe depends on the density of water, speed of water and height above datum.

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In this table, the molecules of which object move fastest?
O Object
O Object B
O Object C
O Object D

In this table, the molecules of which object move fastest?O ObjectO Object BO Object CO Object D

Answers

Answer:

D. Object D

Explanation:

The hotter the temp the faster the molecules move

What type of energy transfer causes a sunburn?
A. Radiation, because particles of hot air move in space
B. Radiation, because electromagnetic waves transfer heat
C. Conduction, because hot air comes in contact with the skin
D. Conduction, because invisible light carries heat from the sun
If your right you get 100 points and a brainliest

Answers

Answer:

Hi!!

It should be A, ratation

(sorry that I didnt spell that write)

Have a great day!

To solve this we must be knowing each and every concept related to energy and its different types. Therefore,  the correct option is option A among all the given options.

What is energy?

In physics, energy is the capacity to accomplish work. It can be potential, kinetic, thermal, electric, chemical, radioactive, or in other forms.

There is also heat and work—energy inside the process of being transferred by one body to the other. Energy is always classified according to its type once it has been transmitted. As a result, heat transported could become thermal energy, whereas labor done may emerge as mechanical energy. Radiation is a t type of energy that transfer energy that causes a sunburn  because particles of hot air move in space.

Therefore,  the correct option is option A among all the given options.

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sum it up a cornell doodle notes

Answers

I do not understand?

3. a car takes off with initial velocity of 20m/s and move with uniform acceleration of 12m/s2 for 20s. It maintained a constant velocity for 30s and come to rest with uniform acceleration of 2m/s2. Calculate the total distance covered by the car.​

Answers

The total distance traveled by the car at the given velocity and time is 900 m.

The given parameters:

initial velocity of the car, u = 20 m/sacceleration of the car, a = 12 m/s²time of motion of the car, t = 20 sfinal time = 30 sfinal acceleration = 2 m/s²

The final time of motion of car before coming to rest is calculated as follows;

\(v_f = v_0 -at\\\\0 = 20 - 2t\\\\t = 10 \ s\)

The graph of the car's motion is in the image uploaded.

The total distance traveled by the car is calculated as follows;

\(total \ distance = A \ + B \ + C\\\\total \ distance = (\frac{1 }{2} \times 20 \times 20) \ + (20 \times 30) \ + (\frac{1}{2}\times 10 \times 20)\\\\total \ distance = 900 \ m\)

Thus, the total distance traveled by the car at the given velocity and time is 900 m.

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3. a car takes off with initial velocity of 20m/s and move with uniform acceleration of 12m/s2 for 20s.

When putting the ball on the tee you want half of the golf ball to be above the club be below the club be in front of the club be behind the club​

will put brainlest

Answers

5)-5 that would be 100% correct

A golf ball is a unique ball made specifically for the game of golf.

What is Gulf ball?

A golf ball must adhere to specific velocity, distance, and symmetry requirements as well as have a mass of no more than 1.620 oz (45.9 g), a diameter of no less than 1.680 inches (42.7 mm), and no more than 1.620 oz (45.9 g) in total.  

Similar to golf clubs, golf balls must pass testing and approval by The R&A and the United States Golf Association before they can be used in competitions. 

Early in the 20th century, it was discovered that dotting the ball gave the player even more control over the trajectory, flight, and spin of the ball.

Therefore, A golf ball is a unique ball made specifically for the game of golf.

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10. Snow melting in the sun is a good example of heat transfer by...Select one:a. Conduction.b. Radiation.c. Convection.d. None of the above.

Answers

Answer:

c. Convection

Explanation:

Note that:

• Heat transfer involves the movement of heat energy across the molecules of a substance.

,

• When snow melts in the sun, there is a movement of heat energy from the air molecules to the snow. This movement of heat from the air also involves the movement of the air molecules

,

• Convection is the transfer of heat within a fluid, involving the actual movement of the molecules of the fluid

Therefore, from all the points highlighted above, we can conclude that snow melting in the sun is a good example of heat transfer by convection

1.Luca is a member of a game development team that recently released a new game. They are now developing visual upgrades such as additional vehicle models and character skins. Which of the following terms refers to these upgrades?
A. Season System
B. DLC
C. Licensing
D. Monetization
2.Jodie and her development team are creating DLC for their video game. They will soon release new levels and content packs that unlock challenges in the gameplay. What type of DLC are Jodie and her team creating?
A. Season System
B. Visual Updates
C. Game Exposition
D. Licensing
3.Donell has created a new DLC for his video game. Which of the following should Donell consider when determining the price of his DLC?
A. Color of the new skins
B. Competition and expectations
C. Copyright Licensing
D. Soundtrack
4.Gia is releasing new content packs based on a seasons system. How frequently will she likely release new content for her video game?
A. Every six months
B. Every year
C. every month
D. every three months
5.Judah is looking to monetize the development process of his recently-released video game by selling external content. Which of the following is an example of external content?
A. behind-the-scenes video
B. in-game challenges
C. visual updates
D. game expansion packs
6.Katelin is creating new custom skins for the characters in her recently released video game, in addition to cosmetic items such as glasses, wigs, clothing, and hats. What type of DLC is Katelin creating?
A. Game expansion
B. monetization
C. visual updates
D. mobile
7.Mohammad has experienced everything that a video game has to offer. He has reached the highest level and has defeated all of the challenges. What type of DLC is he most likely to purchase?
A. game expansion
B. visual updates
C. license
D. monetization
8.Jayden is a member of a game development team praised for the visual artistry of their characters and game environment. Which of the following is an example of external content that Jayden and the team could monetize?
A. Soundtrack
B. novel
C. concept art books
D. in-game visual upgrades
9.Bret and his development team released a new video game a few months ago. After strong sales initially, it is now not selling well at full price. What should Bret and his team do to ensure a boost in profits so that they can begin their next game project?
A. Create DLC
B. increase the price of the game
C. confirm their licensing agreements
D. hold a temporary sale on popular marketplaces
10.Which of the following should a game development team do before they consider releasing their game music in other forms?
A. check licensing agreements
B. create a digital art book
C. create DLC
D. add unique visual upgrades
11.Myra is transitioning from being an independent developer to starting a game development company. How should Myra release herself from direct legal liability?
A. register a business license
B. report income on taxes
C. open a new bank account
D. separate her personal finances from the business finances
12.Masami’s newly-released video game has received much praise for its distinctive audio. Which of the following types of external content should Masami monetize?
A. digital art book
B. soundtrack
C. behind-the-scenes video
D. novel based on the main character
13.Which of the following terms refers to how team members interact with each other?
A. innovation
B. encouragement
C. group dynamics
D. onboarding
14.Khalid is starting a game development business of his own. Which of the following is a legal requirement?
A. to report income on yearly taxes
B. to open a personal bank account
C. to open a business bank account
D. to hire a team of developers
15.Moriah is the team leader of a new game development team. Which of the following does Moriah do to introduce the team members to each other and encourage open communication in the workplace?
A. group dynamics
B. onboarding activities
C. communication
D. motivation

Answers

Answer: B. DLC

B. Visual Updates

B. Competition and expectations

D. Every three months

D. Game expansion packs

C. Visual updates

A. Game expansion

C. Concept art books

A. Create DLC

A. Check licensing agreements

D. Separate her personal finances from the business finances

B. Soundtrack

C. Group dynamics

C. To open a business bank account

B. Onboarding activities

Explanation: :)

Above a flat horizontal plane, arrow A is shot horizontally from a bow at a speed of 20 meters per second, as shown in the following diagram. A second arrow B is dropped from the same height and at the same instant as A is fired. Compare the amount of time A takes to strike the plane to the amount of time B takes to strike the plane. [Neglect friction.]

Answers

It takes same time for A and B to strike the plane.

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration directed towards the centre of the earth. The path of such a particle is called a projectile, and the motion is called projectile motion.

Given above a flat horizontal plane, arrow A is shot horizontally from a bow at a speed of 20 meters per second.Also a second arrow B is dropped from the same height and at the same instant as A is fired.Since height and speed are same along with initial position, there will be no change in time.

So both A and B strikes the plane at same time.

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Above a flat horizontal plane, arrow A is shot horizontally from a bow at a speed of 20 meters per second,

A 0.25 kg mass is placed on a vertically oriented spring that is stretched 0.56 meters from its equilibrium position. If the spring constant is 105 N/m, how fast will the mass be moving when it reaches the equilibrium position? Hint: You cannot ignore the change in gravitational potential energy in this problem. Please give your answer in units of m/s, however, do not explicitly include units when typing your answer into the answer box.

Answers

Answer:

The speed of the ball when it reaches equilibrium position is 3.31 m/s

Explanation:

Given;

mass of the object, m = 0.25 kg

initial displacement of the object, h₁ = 0.56 m

spring constant, k = 105 N/m

displacement at equilibrium position, h₂ = 0

initial velocity of the object, v₁ = 0

velocity of the object at equilibrium position = v₂

The change in gravitational potential energy at the equilibrium position is given as;

ΔP.E = mg(h₂ - h₁)

The change in kinetic energy of the object at the equilibrium position is given as;

ΔK.E = ¹/₂m(v₂² - v₁²)  

Apply the principle of conservation of mechanical energy;

ΔK.E  +  ΔP.E = 0

¹/₂m(v₂² - v₁²)  +  mg(h₂ - h₁) = 0

¹/₂m(v₂² - 0)  +  mg(0 - h₁) = 0

¹/₂mv₂²  -  mgh₁  =  0

¹/₂mv₂²  = mgh

¹/₂v₂² = gh

v₂² = 2gh

v₂ = √2gh

v₂ = √(2 x 9.8 x 0.56)

v₂ = 3.31 m/s

Therefore, the speed of the ball when it reaches equilibrium position is 3.31 m/s

An environmentally conscious physics student 250 N
mows her lawn with a push mower, exerting
a force of 250 N along the handle as shown. 40°
How much force is actually being used to push
the mower along the grou

Answers

The force actually being used to push the mower along the ground is 191 N.

When the physics student exerts a force of 250 N along the handle of the push mower, it's important to consider the components of this force that contribute to the actual force used to push the mower along the ground.

To determine the force used to push the mower along the ground, we need to find the horizontal component of the applied force. The angle of 40° indicates that the applied force can be broken down into two components: the horizontal component and the vertical component. The vertical component of the force is perpendicular to the direction of motion and does not contribute to pushing the mower forward.

To find the horizontal component, we can use trigonometry. The horizontal component is given by the formula:

Horizontal component = Applied force * cos(angle)

Plugging in the values, we get:

Horizontal component = 250 N * cos(40°)

Calculating this value, we find that the horizontal component of the applied force is approximately 191 N.

Therefore, the force actually being used to push the mower along the ground is 191 N. This is the component of the applied force that contributes to the forward motion of the mower, while the remaining vertical component is directed perpendicular to the ground and does not assist in pushing the mower forward.

By exerting a force of 250 N along the handle at a 40° angle, the student effectively applies 191 N of force to push the mower along the ground, ensuring efficient use of their effort while considering the environmental impact.

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Please help been struggling with this problem thank you!

Please help been struggling with this problem thank you!

Answers

The charge on moving particles is calculated as q = (6.9 * 10⁻¹⁹ J) / (v * 325 N/C * 4 m)

What is the potential difference?

Amount of work done in moving unit positive charge without acceleration from one point to another along any path between two points is called potential difference between any two points.

As ΔV = -ΔPE/q

ΔV is potential difference, ΔPE is change in electrical potential energy, and q is charge on the moving particle.

F = qvB

F is magnetic force, v is velocity of the charged particle, and B is magnetic field strength.

W = Fd = qvBd

qvbD = 6.9 * 10⁻¹⁹  J

q = ΔPE / (vBd)

ΔPE is change in electrical potential energy, v is velocity of charged particle, B is magnetic field strength, and d is distance moved in the direction of magnetic field.

q = (6.9 * 10⁻¹⁹ J) / (v * 325 N/C * 4 m)

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What is the term for trade without barriers, tariffs, or quotas?
A. Free trade
B. Trade deficit
C. Surplus trade
D. Trade bloc

Answers

I think its free trade


A billiard ball is moving initially at 16m/s and is accelerating at -2m/s^2. The ball travels 4m. What is the final velocity of the ball

Answers

Assuming constant acceleration, if v is the final velocity of the ball, then

v ² - (16 m/s)² = 2 (-2 m/s²) (4 m)

v ² = 240 m²/s²

v ≈ 15.5 m/s

PLEASE HELP !!!!!! As seen in the lesson video, solar photovoltaic technologies help provide clean electrical energy. Using the video animation as a guide, diagram and label the absorption of photons and production of electrons (photoelectric effect) used in solar PV systems. Include a screenshot or picture of your diagram below.

Answers

We can see here that the diagram that reveals the absorption of photons and production of electrons (photoelectric effect) used in solar PV systems is seen below.

What is photon?

A photon is a fundamental particle or quantum of light.

It is the smallest indivisible unit of electromagnetic radiation, which also includes radio waves, microwaves, X-rays, visible light, ultraviolet light, and infrared radiation. In scientific calculations, photons are represented by the symbol "c" and move at the speed of light in a vacuum while carrying energy.

Wave-particle duality is the idea that photons are both particles and have wave-like characteristics. This means that they can exhibit wave-like properties like interference and diffraction as well as discrete particle behavior, each with a distinct energy and momentum.

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PLEASE HELP !!!!!! As seen in the lesson video, solar photovoltaic technologies help provide clean electrical

A uniform electric field ai + bj intersects a surface of area A. What is the flux through this area if the surface lies (a) in the yz plane? (b) in the xz plane? (c) in the xy plane?

Answers

Answer:

Explanation:

The electric flux through a surface is given by the dot product of the electric field and the area vector of the surface:

Φ = E · A

where Φ is the electric flux, E is the electric field, and A is the area vector of the surface.

(a) If the surface lies in the yz plane, its area vector is in the x direction. Therefore, the area vector can be written as A = Ax i, where Ax is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Ax i) = aAx

(b) If the surface lies in the xz plane, its area vector is in the y direction. Therefore, the area vector can be written as A = Ay j, where Ay is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Ay j) = bAy

(c) If the surface lies in the xy plane, its area vector is in the z direction. Therefore, the area vector can be written as A = Az k, where Az is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Az k) = 0

since the dot product of perpendicular vectors is zero.

Please help if u can thanksss

Please help if u can thanksss

Answers

Answer:

yes its okay i think so it is the correct answer

Children start to gain control over their attention beginning in preschool. This control is related to a growth
spurt in the brain's lobe.

Answers

Answer:

occipital parietal

Explanation:

Hope this helps, plus I took the test

You are going 30 m/s in a car of mass 1000 kg when you reach a red light and stop your car.

a. how much heat energy is released by the brakes of your car ​

Answers

Answer:

Explanation:

The kinetic energy will convert to heat energy (provided the car has friction brakes and not regenerative brakes as might be found on an electric or hybrid) Also assuming level road.

E = ½mv² = ½(1000)30² = 450,000 J

An air-track cart with mass m=0.20kg and speed v0=1.5m/s approaches two other carts that are at rest and have masses 2m and 3m, as indicated in (Figure 1). The carts have bumpers that make all the collisions elastic. Find the final speed of cart 2, assuming the air track extends indefinitely in either direction .Find the final speed of cart 3, assuming the air track extends indefinitely in either direction.

Answers

The final speed of cart 2 is -1.0 m/s, and the final speed of cart 3 is 0.5 m/s.

To find the final speeds of cart 2 and cart 3 after the collision, we can use the principles of conservation of momentum and kinetic energy.

Given:

Mass of cart 1 (approaching cart): m = 0.20 kg

Initial velocity of cart 1: v0 = 1.5 m/s

Mass of cart 2: 2m

Mass of cart 3: 3m

Let's denote the final velocities of cart 2 and cart 3 as v2 and v3, respectively.

According to the conservation of momentum, the total momentum before the collision should be equal to the total momentum after the collision.

Initial momentum = Final momentum

(m * v0) + (2m * 0) + (3m * 0) = m * v2 + 2m * v3 + 3m * v3

Simplifying the equation, we have:

m * v0 = m * v2 + 5m * v3    ...(1)

Since the collision is elastic, the total kinetic energy before the collision should be equal to the total kinetic energy after the collision.

Initial kinetic energy = Final kinetic energy

(1/2) * m *\(v0^2 = (1/2) * m * v2^2 + (1/2) * 2m * v3^2 + (1/2) * 3m * v3^2\)

Simplifying the equation, we have:

(1/2) * m *\(v0^2 = (1/2) * m * v2^2 + m * v3^2 + (3/2) * m * v3^2\)

m * \(v0^2 = m * v2^2 + 2m * v3^2 + 3m * v3^2\)

\(v0^2 = v2^2 + 2v3^2 + 3v3^2\)    ...(2)

Now, we have two equations (equation 1 and equation 2) with two unknowns (v2 and v3). We can solve these equations simultaneously to find the values of v2 and v3.

From equation 1, we can rewrite it as:

v2 = v0 - 5v3

Substituting this expression into equation 2, we get:

\(v0^2 = (v0 - 5v3)^2 + 2v3^2 + 3v3^2\)

Expanding and simplifying the equation, we have:

\(v0^2 = v0^2 - 10v0v3 + 25v3^2 + 2v3^2 + 3v3^2\)

\(0 = -10v0v3 + 30v3^2\)

Rearranging the equation, we get:

10v0v3 = 30\(v3^2\)

v0 = 3v3

Solving for v3, we find:

v3 = v0/3 = (1.5 m/s) / 3 = 0.5 m/s

Substituting this value of v3 back into the expression for v2, we have:

v2 = v0 - 5v3 = 1.5 m/s - 5 * 0.5 m/s = 1.5 m/s - 2.5 m/s = -1.0 m/s

Therefore, the final speed of cart 2 is -1.0 m/s (indicating it moves in the opposite direction with respect to the initial velocity), and the final speed of cart 3 is 0.5 m/s.

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. Draw a schematic circuit with two cells placed in parallel providing powerto a single light controlled by a switch drawn in the closed position. Includea voltmeter to read the potential difference across one light. Indicate bothconventional current in blue arrows and electron flow in black arrows.

Answers

1 Light

1 switch

2 cells

1 Voltmeter

The circuit is drawn in black, the arrows near to the wire give the direction for current and electrons. Remember that the electrons go in the opposite direction of electrons.

The rest of the arrows in some parts of the drawing are symbols for cells and lights.

. Draw a schematic circuit with two cells placed in parallel providing powerto a single light controlled

An object with a kinetic energy of 250j has a mass of 32 kg what is the velocity of the object?​

Answers

Taking into account the definition of kinetic energy, the velocity of the object with a kinetic energy of 250 J and a mass of 32 kg is 3.95 m/s².

Deinition of Kinetic energy

Kinetic energy is the energy possessed by a body or system due to its movement.

Kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed. Once the final speed is reached, the amount of kinetic energy accumulated will remain constant, that is, it will not vary, unless another force acts on the body again.

Kinetic energy is represented by the following expression:

Ec = 1/2×m×v²

Where:

Ec is kinetic energy, which is measured in Joules (J).m is mass measured in kilograms (kg).v is velocity measured in meters over seconds (m/s).

Velocity of the object

In this case, you know:

Ec= 250 Jm= 32 kgv= ?

Replacing in the definition of kinetic energy:

250 J = 1/2× 32 kg×v²

Solving:

250 J÷ (1/2× 32 kg) = v²

15.625 J÷kg = v²

√15.625 J÷kg = v

3.95 m/s² = v

Finally, the velocity of the object is 3.95 m/s².

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A sled plus passenger with total mass m = 53.1 kg is pulled a distance d = 25.3 m across a horizontal, snow-packed surface for which the coefficient of kinetic friction with the sled is μk = 0.155. The pulling force is constant and makes an angle of φ = 28.3 degrees above horizontal. The sled moves at constant velocity.

Required:
a. Write an expression for the work done by the pulling force in terms of m, g (acceleration due to gravity), φ, μk, and d.
b. What is the work done by the pulling force, in joules?
c. Write an expression for the work done on the sled by friction in terms of m, g (acceleration due to gravity), φ, μk, and d.
d. What is the work done on the sled by friction, in joules?

Answers

Answer:

Explanation:

Force of friction

F = μ mg

μ is coefficient of friction , m is mass and g is acceleration due to gravity .

If f be the force applied to pull the sled , the horizontal component of force should be equal to frictional  force

The vertical component of applied force will reduce the normal force or reaction force from the ground

Reaction force R = mg - f sin28.3

frictional force = μ R where μ is coefficient of friction

frictional force = μ x (mg - f sin28.3 )

This force should be equal to horizontal component of f

μ x (mg - f sin28.3 ) = f cos 28.3

μ x mg = f μsin28.3 + f cos 28.3

f = μ x mg / (μsin28.3 + cos 28.3 )

a )

work done by pulling force  = force x displacement

f cos28.3 x d

μ x mg d cos28.3  / (μsin28.3 + cos 28.3 )

b ) Putting the given values

= .155 x 53.1 x 9.8 x 25.3 cos28.3 / ( .155 x sin28.3 + cos 28.3 )

= 1796.76 / (.073 + .88 )

= 1885.37  J

c )

Work done by frictional force

= frictional force x displacement

=  -  μ x (mg - f sin28.3 ) x d  

= -  μ x mgd + f μsin28.3  x d

= -  μ x mgd + μsin28.3  x d x μ x mg / (μsin28.3 + cos 28.3 )

d )

Putting the values in the equation above

- .155 x 53.1 x 9.8 x 25.3 +

.155 x .474 x 25.3 x .155 x 53.1 x 9.8 /( .155 x .474 + .88)

= -2040.67 + 149.92 / .95347

= -2040.67 + 157.23

= -1883.44 J .

Object A has 27 J of kinetic energy. Object B has one-quarter the mass of object A.
*By what factor does the speed of each object change if total work -18 J is done on each?

Answers

Answer:

the final speed of object A changed by a factor of  \(\frac{1}{\sqrt{3} }\) = 0.58

the final speed of object B changed by a factor of \(\sqrt{\frac{5}{3} }\) = 1.29

Explanation:

Given;

kinetic energy of object A, = 27 J

let the mass of object A = \(m_A\)

then, the mass of object B = \(m_B = \frac{m_A}{4}\)

work done on object A = -18 J

work done on object B = -18 J

let \(v_i\) be the initial speed

let \(v_f\) be the final speed

For object A;

\(K.E_A = 27\\\\\frac{1}{2} m_A v_i^2 = 27\\\\m_A v_i^2 = 54\\\\m_A = \frac{54}{v_i^2} ----Equation \ (1)\\\\Apply \ work-energy \ theorem;\\\\\delta K.E_A = -18\\\\\frac{1}{2} m_A v_f^2 - \frac{1}{2} m_A v_i^2 = -18\\\\\frac{1}{2} m_A ( v_f^2 \ - v_i^2 )\ =- 18\\\\v_f^2 \ - v_i^2 = -\frac{36}{m_A} ---Equation \ (2)\\\\v_f^2 \ - v_i^2 = -\frac{36v_i^2}{54}\\\\ v_f^2 \ =v_i^2 - \frac{36v_i^2}{54}\\\\ v_f^2 = \frac{54v_i^2 -36v_i^2 }{54} \\\\v_f^2 = \frac{18v_i^2}{54} \\\\v_f^2 = \frac{v_i^2}{3} \\\\\)

\(v_f = \sqrt{\frac{v_i^2}{3} }\\\\v_f = \frac{1}{\sqrt{3} } \ v_i\\\\\)

Thus, the final speed of object A changed by a factor of  \(\frac{1}{\sqrt{3} }\) = 0.58

To obtain the change in the final speed of object B, apply the following equations.

\(K.E_B_i = \frac{1}{2} m_Bv_i^2\\\\m_B = \frac{m_A}{4} \\\\K.E_B_i = \frac{1}{2}(\frac{m_A}{4} )v_i^2\\\\K.E_B_i = \frac{m_Av_i^2}{8} \\\\But, \ m_Av_i^2 = 54 \\\\K.E_B_i = \frac{54}{8} \\\\Apply \ work-energy \ theorem ;\\\\\delta K.E = -18\\\\K.E_f -K.E_i = -18\\\\\frac{1}{2}m_Bv_f^2 - \frac{1}{2} m_Bv_i^2 = -18\\\\Recall \ m_B = \frac{m_A}{4} \\\\\frac{1}{2}(\frac{m_A}{4} )v_f^2 - \frac{1}{2}(\frac{m_A}{4} )v_i^2 = -18\\\\\frac{1}{2}\times \frac{m_A}{4} (v_i^2 -v_f^2) = 18\\\\\)

\(\frac{1}{2}\times \frac{m_A}{4} (v_i^2 -v_f^2) = 18\\\\v_i^2 -v_f^2 = \frac{8}{m_A} \times 18\\\\v_i^2 -v_f^2 =\frac{144}{m_A} \\\\But , m_A = \frac{54}{v_i^2} \\\\v_i^2 -v_f^2 =\frac{144v_i^2}{54} \\\\v_f^2 = v_i^2 - \frac{144v_i^2}{54}\\\\v_f^2 = \frac{54v_i^2-144v_i^2}{54}\\\\ v_f^2 = \frac{-90v_i^2}{54} \\\\v_f^2 = \frac{-5v_i^2}{3} \\\\|v_f| = \sqrt{\frac{5v_i^2}{3}} \\\\|v_f| = \sqrt{\frac{5}{3}} \ v_i\)

Thus, the final speed of object B changed by a factor of \(\sqrt{\frac{5}{3} }\) = 1.29

Velocity is the rate of change of position with respect to time. The velocity of objects A and B is 0.577 and  1.29 times the initial velocities.

What is Velocity?

Velocity is the rate of change of position with respect to time.

Given to us

The kinetic energy of object A before work is applied,  \(KE_A = 27\rm\ J\)

Mass of object A = \(m_a\)

Mass of object B = \(m_b = \dfrac{m_a}{4}\)

Work done on both the objects, w = -18 J

We know that the kinetic energy of object A is 27 j, therefore,

\(KE_A = 27 J\\\\\dfrac{1}{2}m_av_i^2 = 27\\\\m_av_i^2 = 54\\\\m_a = \dfrac{54}{v_i^2}\)

We know that the work done on object A is -18 J, therefore,  the difference in the Kinetic energy of the object will be work,

\(KE_f - KE_i = -18\\\\\dfrac{1}{2}m_Av_f^2 -\dfrac{1}{2}m_Av_i^2 = 18\\\\v_f^2 -v_i^2 = \dfrac{-18 \times 2}{m_A}\\\\v_f^2 -v_i^2 = \dfrac{-36}{m_A}\)

Substitute the value of \(m_a\),

\(v_f^2 -v_i^2 = \dfrac{-36}{m_A}\\\\v_f^2 -v_i^2 = \dfrac{-36}{\dfrac{54}{v_i^2}}\\\\v_f^2 -v_i^2 = \dfrac{-36 v_i^2}{54}\\\\v_f^2 = \dfrac{1v_i^2}{3}+v_i^2\\\\v_f^2 = \dfrac{-36 v_i^2}{54}\\\\v_f = v_i\sqrt{\dfrac{1}{3}}\\\\v_f = 0.577v_i\)

Hence, the velocity of object A is 0.577 times the initial velocity.

Kinetic Energy of the object B,

\(KE_B = \dfrac{1}{2}m_B v_i^2\\\\KE_B = \dfrac{1}{2}\dfrac{m_A}{4} v_i^2\\\\KE_B =\dfrac{m_A}{8} v_i^2\\\\KE_B =\dfrac{m_A}{8} v_i^2\\\\KE_B =\dfrac{54}{8} \\\)

We know that the work done on object B is -18 J, therefore,  the difference in the Kinetic energy of the object will be work,

\(KE_f - KE_i = -18\\\\\dfrac{1}{2}m_Bv_f^2 -\dfrac{1}{2}m_Bv_i^2 = 18\\\\v_f^2 -v_i^2 = \dfrac{-18 \times 2}{m_B}\\\\v_f^2 -v_i^2 = \dfrac{-36}{m_B}\\\\v_f^2 -v_i^2 = \dfrac{-36}{\dfrac{m_A}{4}}\\\\v_f^2 -v_i^2 = \dfrac{-144}{m_A}\\\\}}\\\\v_f^2 -v_i^2 = \dfrac{-144}{\dfrac{54}{v_i^2}}\)

\(v_f^2 -v_i^2 = \dfrac{-144}{\dfrac{54}{v_i^2}}\\\\v_f^2 -v_i^2 = \dfrac{-144v_i^2}{54}\\\\v_f^2 = \dfrac{-144v_i^2}{54} + v_i^2\\\\v_f^2 = \dfrac{-144v_i^2}{54} + v_i^2\\\\v_f^2 = \dfrac{-5v_i^2}{3}\\\\ | v_f |= \sqrt{\dfrac{5v_i^2}{3}}\\\\v_f = \sqrt{\dfrac{5v_i^2}{3}}\\v_f = v_i\sqrt{\dfrac{5}{3}}\\\\v_f = 1.29 v_i\)

hence, the velocity of object B is 1.29 times the initial velocity.

Learn more about Velocity:

https://brainly.com/question/862972

Iu Metallic bonding is similar to iconic bonding because

Answers

Answer:

In an ionic bond the valence electrons are transferred from the metal

Explanation:

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V. What speed does the proton gain? (e = 1.60 × 10-19 C , mproton = 1.67 × 10-27 kg)

Answers

Answer:

\(3.1\times 10^{5}m/s\)

Explanation:

The computation of the speed does the proton gain is shown below:

The potential difference is the difference that reflects the work done as per the unit charged

So, the work done should be

= Potential difference × Charge

Given that

Charge on a proton is

= 1.6 × 10^-19 C

Potential difference = 500 V

\(v= \sqrt{\frac{2.q.\Delta V}{m_{p}}} \\\\\\= \sqrt{\frac{2\times 1.6\times 10^{-19}\times 5\times 10^{2}}{1.67\times 10^{-27}}}\)

\(v= \sqrt{9.58\times 10^{10}}m/s \\\\= 3.095\times 10^{5}m/s\\\\\approx 3.1\times 10^{5}m/s\)

Simply we applied the above formulas

Find the induced voltage in the conductor of the Figure below where B = 0.04 ay Tan
U = 2.5 sin 103t az m/s.

Answers

The induced e.m.f is -0.02sin(10^3t) (V) which is option D

What is Induced Voltage?

Induced voltage refers to the electrical voltage that is generated in a conductor or coil due to a changing magnetic field.

This phenomenon is known as electromagnetic induction and is the basis for many electrical devices such as generators and transformers.

Induced voltage can be calculated using Faraday's law, which states that the induced electromotive force (EMF) is equal to the rate of change of magnetic flux.

The induced voltage can be either positive or negative depending on the direction of the changing magnetic field and the orientation of the conductor or coil.

Read more about induced voltage here:

https://brainly.com/question/30049273

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Find the induced voltage in the conductor of the Figure below where B = 0.04 ay TanU = 2.5 sin 103t az
Find the induced voltage in the conductor of the Figure below where B = 0.04 ay TanU = 2.5 sin 103t az
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