At one instant an electron(charge = -1.6 x 10-19 C)is moving in the xy plane , the components of its velocity beingvx = 3.0 x 105 m/s and vy=4.0x105m/s. A magnetic field of 0.8T is in the positivez direction. At that instant the magnitude of the magnetic force onthe electron is ....
(a) 0
(b) 2.9 x 10-14 N
(c) 3.8 x 10-14 N
(d) 4.8 x 10-14 N
(e) 6.4x10-14 N

Answers

Answer 1

Answer:

\(6.4 \times 10^{-14}\; {\rm N}\).

Explanation:

For a charge moving through a magnetic field, the magnitude of the magnetic force on this charge would be:

\(F = q\, v\, B\, \cos(\theta)\), where in this question:

\(q = 1.6 \times 10^{-19}\; {\rm C}\) is the magnitude of the charge,\(v\) is the speed of the charge relative to the field, \(B = 0.8\; {\rm T}\) is the magnitude of the magnetic field, and\(\theta\) is the angle between the motion of the charge and the magnetic field.

In this question, the motion of the charge is entirely in the \(x y\)-plane. The magnetic field points towards the positive \(z\) direction, which is perpendicular to the \(x y\!\)-plane. Hence, the angle between the magnetic field and the motion of the charge would be \(\theta = 90^{\circ}\).

Apply the Pythagorean Theorem to find the speed of the charge:

\(\begin{aligned}v &= \sqrt{(3.0 \times 10^{5})^{2} + (4.0 \times 10^{5})^{2}}\; {\rm m\cdot s^{-1}} \\ &= 5.0 \times 10^{5}\; {\rm m\cdot s^{-1}}\end{aligned}\).

Therefore, the magnitude of the magnetic force on this charge would be:

\(\begin{aligned}F &= q\, v\, B\, \cos(\theta) \\ &= (1.6 \times 10^{-19})\, (5.0 \times 10^{5})\, \cos(90^{\circ}})\; {\rm N} \\ &= 6.4 \times 10^{-14}\; {\rm N}\end{aligned}\).

Answer 2

At that instant the magnitude of the magnetic force on the electron is (e) 6.4 x 10⁻¹⁴ N.

How to calculate

The magnitude of the magnetic force on the electron can be calculated using the formula F = qvBsinθ,

where F is the magnetic force, q is the charge of the electron, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

In this case,

q = -1.6 x 10⁻¹⁹ C,

vx = 3.0 x 10⁵ m/s,

vy = 4.0 x 10⁵ m/s,

B = 0.8 T, and since the magnetic field is in the positive z direction and the electron is moving in the xy plane, θ = 90°.

Therefore, sinθ = 1.

First, we need to find the total velocity of the electron:

v = √(vx² + vy²) = √((3.0 x 10⁵)² + (4.0 x 10⁵)²) = 5.0 x 10⁵ m/s.

Now, we can calculate the magnetic force:

F = qvBsinθ = (-1.6 x 10⁻¹⁹ C)(5.0 x 10⁵ m/s)(0.8 T)(1) = -6.4 x 10⁻¹⁴N.

However, since we need the magnitude of the force, we can ignore the negative sign and get F = 6.4 x 10⁻¹⁴ N.

So, the correct answer is (e) 6.4 x 10⁻¹⁴ N.

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Related Questions

PART 1
A merry-go-round rotates at the rate of
0.37 rev/s with an 73 kg man standing at
a point 1.2 m from the axis of rotation.
What is the new angular speed when the
man walks to a point 0 m from the center?
Consider the merry-go-round is a solid 29 kg
cylinder of radius of 1.2 m.
Answer in units of rad/s.

PART 2
What is the change in kinetic energy due to
this movement?
Answer in units of J.

Answers

The angular velocity is infinity.

it's not possible to calculate the kinetic energy change when the angular velocity becomes infinity, it's an abstract concept.

What is angular speed?

PART 1

The angular velocity of an object is given by the formula:

ω = v/r

where

v is the linear velocity and

r is the distance from the axis of rotation.

The man's initial angular velocity is:

ω = (0.37 rev/s) * (2π rad/rev)

= 2.34 rad/s

As the man moves closer to the center, his distance from the axis of rotation decreases, so his angular velocity will increase.

To find the new angular velocity, we can use the same formula:

ω = v/r

since the radius decreases to 0, the angular velocity becomes infinity.

PART 2

The change in kinetic energy is given by the formula:

ΔK = 1/2 * I * (ω_f^2 - ω_i^2)

where

I is the moment of inertia and ω_i and ω_f are the initial and final angular velocities respectively.

For a solid cylinder, the moment of inertia is:

I = (1/2) * m * r^2

where

m is the mass and r is the radius.

The moment of inertia for the merry-go-round is:

I = (1/2) * (29 kg) * (1.2 m)^2

= 15.12 kg * m^2

The change in kinetic energy can be calculated as:

ΔK = 1/2 * (15.12 kg * m^2) * (∞^2 - (2.34 rad/s)^2)

= infinity J

Note that it's not possible to calculate the kinetic energy change when the angular velocity becomes infinity, it's an abstract concept.

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Suppose the Pathfinder moves at a rate of 0.2m/s for 20 seconds and then turns around and travels at the same speed for 3 seconds, what is the Pathfinder's current position?​

Answers

Answer:

PLEASE BE MORE SPECIFIC

Explanation:

The pathfinder is currently 3.4 m away from its initial position. Speed can be defined by the change in position of the object over time.

What is Speed?

It can be defined by the change in position of the object over time. The distance can be calculated by the formula,

\(d = s \times t\)

Where,

\(d\)- distance

\(s\) - speed

\(t\) - times -

Initially, Pathfinder moves,

\(d = 0.2 \times 20 \\\\d = 4 \rm \ m\)

Then he turns back and moves,

\(d' = 0.2 \times 3 = 0.6 \rm m\)

So the current position is:

\(D = d - d'\\\\D = 4 - 0.6 \\\\D = 3.4\rm m\)

Therefore, the pathfinder is currently 3.4 m away from its initial position.

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Describe how the pendulum concept is used in the pendulum clock.

Answers

The concept of the pendulum is used in pendulum clocks to keep time. The pendulum swings back and forth in a continuous motion at a fixed rate that is determined by the length of the pendulum and the force of gravity.

This motion is used to regulate the movement of the clock's gears, which control the hands on the clock face.The mechanism of a pendulum clock is such that when the pendulum swings in one direction, it pushes a toothed wheel or gear, which in turn moves the other gears, causing the clock's hands to move forward.

When the pendulum swings back in the opposite direction, it again pushes the gear, causing the hands to move further forward. This cycle continues, with each swing of the pendulum causing the hands to move forward by a set amount. The length of the pendulum determines the rate at which the hands move forward, with longer pendulums causing the hands to move more slowly.

In a pendulum clock, the pendulum swings back and forth in a continuous motion at a fixed rate that is determined by the length of the pendulum and the force of gravity. This motion is used to regulate the movement of the clock's gears, which control the hands on the clock face. The pendulum clock is an improvement on the original verge escapement clocks, which were prone to errors due to the uneven force of the mainspring.The pendulum is a simple yet effective device that can keep accurate time. Its motion is governed by the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another.

When the pendulum is pulled to one side and released, it swings back and forth, converting potential energy into kinetic energy and back again. The period of the pendulum, or the time it takes to complete one full swing, is determined by the length of the pendulum and the force of gravity. By adjusting the length of the pendulum, the rate at which it swings can be altered, allowing it to keep accurate time.

To keep the pendulum clock running accurately, it needs to be adjusted periodically. This is done by altering the length of the pendulum, either by moving a weight up or down along the pendulum rod or by turning a screw at the bottom of the pendulum bob. This alters the period of the pendulum, which in turn changes the rate at which the clock runs.

The pendulum clock is a testament to the ingenuity of humanity. By using the simple yet effective concept of the pendulum, clockmakers were able to create accurate timepieces that revolutionized the way we keep time. Today, the pendulum clock may have been superseded by more advanced technologies, but its legacy lives on in the modern clocks and watches we use every day.

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A motorist travels 130 km in 2 hours.

Answers

The motorist is traveling at 65 miles per hour

Using science terms like force, mass, energy, and inertia, describe how you could get an object to fly a further distance in a catapult?

Answers

i need the same question


12. The atmosphere is composed of five _____

Answers

Answer:

The atmosphere is composed of five layers.

Explanation:

The five layers the atmosphers is made up of are: the exosphere, the thermosphere, the mesosphere, the stratosphere, and the troposphere.

The measured mass of a body is found to be 110g. The length is measured by a meter scale. Actual mass and length of the body are 100 g and 10 cm. Find the percentage error in the calculation of density.

Answers

Answer:

ok it will be g+181

Explanation:

The space pod might be lost in space because it is traveling in the wrong direction away from the space station and there is..


A) no force of friction to make it stop

B) no signal so they can see what is happening

C) no velocity to stop

Answers

You would have to pick the word c because that is the answer

For each of the following biomes, identify a specific country in which each biome occurs in relative abundance: Taiga Desert: Tropical rainforest:
Temperate grassland:
Tropical grassland :
Coral reef :
Temperate deciduous forest :
Tundra:

Answers

Taiga: Canada and Russia.Desert: North Africa, including Algeria, Egypt, Libya, Morocco, and Tunisia. Tropical rainforest: South American countries, including Brazil, Peru, Colombia, and Ecuador.Temperate grassland: United States and Canada.Tropical grassland: African countries, including Kenya, Tanzania, and South Africa, Australia, India, and South America.Coral reef: Australia's Great Barrier Reef is the largest coral reef system in the world and is located off the coast of Queensland.Temperate deciduous forest: United States, Canada, China, and much of Europe.Tundra: Russia, Canada, Norway, and Sweden. It is also found in parts of Alaska in the United States.

Taiga: Canada and Russia are the two countries where the taiga biome occurs in relative abundance.

Desert: The Sahara Desert is located in several countries in North Africa, including Algeria, Egypt, Libya, Morocco, and Tunisia. The Arabian Desert is located in several countries in the Middle East, including Saudi Arabia, Iraq, and Jordan.

Tropical rainforest: The Amazon Rainforest is located in several South American countries, including Brazil, Peru, Colombia, and Ecuador.

Temperate grassland: The Great Plains biome, which is a type of temperate grassland, is located in the United States and Canada.

Tropical grassland: The savanna biome, which is a type of tropical grassland, is located in several African countries, including Kenya, Tanzania, and South Africa. It is also found in parts of Australia, India, and South America.

Coral reef: Australia's Great Barrier Reef is the largest coral reef system in the world and is located off the coast of Queensland.

Temperate deciduous forest: The temperate deciduous forest biome is found in several countries in the Northern Hemisphere, including the United States, Canada, China, and much of Europe.

Tundra: The tundra biome is found in several countries in the Northern Hemisphere, including Russia, Canada, Norway, and Sweden. It is also found in parts of Alaska in the United States.

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Final answer:

This answer provides a list of different biomes and identifies a specific country where each biome is prevalent. The list includes Taiga (Russia), Desert (Egypt), Tropical Rainforest (Brazil), Temperate Grassland (United States), Tropical Grassland (Kenya), Coral Reef (Australia), Temperate Deciduous Forest (Germany), and Tundra (Canada).

Explanation:

The following biomes can be found in various parts of the world:

Taiga: This biome, characterized by coniferous forests, is abundant in Russia.Desert: Deserts can be notably found in Egypt, which is predominantly covered by the Sahara.Tropical Rainforest: Brazil is known for its large tropical rainforest, the Amazon.Temperate Grassland: The United States has considerable temperate grasslands, particularly in the Midwest region known as the Great Plains.Tropical Grassland: Kenya showcases vast tropical grasslands, often referred to as savannas.Coral Reef: Australia is famous for the Great Barrier Reef, the world's largest coral system.Temperate Deciduous Forest: Germany has a significant portion of temperate deciduous forests.Tundra: This biome, characterized by its cold, dry environment, is widespread in Canada.

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A student wearing frictionless in-line skates on a horizontal surface is pushed, starting from rest, by a friend with a constant force of 60 N. How far must the student be pushed, so that her final kinetic energy is 300J?

Answers

Answer:

Physics

Explanation:

Explanation:

We can use the Theorem of Work (W) and Kinetic Energy (K):

W=ΔK=Kf−Ki

it basically tells us that the work done on our system will show up as change in Kinetic Energy:

We know that the initial Kinetic Energy, Ki=12mv2i, is zero (starting from rest) while the final will be equal to 352J; Work will be force time displacement. so we get:

F⋅d=Ff

45d=352

and so:

d=35245=7.8≈8m

Answer:

d= 352/45=7.8≈ 8m

Explanation

We can use the Theorem of Work (W) and Kinetic Energy (K):

W=ΔK=k f - k i , it is basically tells us that the work done on our system will show up as change in Kinetic Energy:We know that the initial Kinetic Energy, ki =1/2 mv 2/i, is zero (starting from rest) while the final will be equal to 352J; Work will be force time displacement. so we get: F . d = Ff

45d= 352 and so d= 352/45=7.8 ≈ 8m

If the roller coaster car in the above problem were moving with twice the speed(20m/s), then what would be its new kinetic energy?

Answers

Answer:

KE = 1.05 x105 Joules

Explanation:

KE = 4 * (1.04653 x 105 J) = 4.19 x 105 Joules.

how many atoms are in each product silver sulfide ​

Answers

there are 3 atoms in each silver sulfide

Melissa was putting on her makeup when she accidentally ran into a stopped car at a red light, 11. 01 m in front of her. Melissa's 1,219 kg car was moving at 8. 133 m/s and came to a complete stop in 0. 3994 seconds. What is the magnitude of the force that stopped Melissa's car?


a

2. 970E4 N

b

1. 535E4 N

c

1. 934E4 N

d

4. 550E4 N

e

4. 295E4 N

f

3. 400E4 N

g

3. 821E4 N

h

2. 482E4 N

Answers

The required magnitude of the force that stopped Melissa's car is 118608.7 N.

What are 1st 2nd and 3rd laws of motion?

According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.

According to question:

An object at rest remains at rest, and an object in motion remains in motion at constant speed and in a straight line unless acted on by an unbalanced force.

Given,

speed=8.133 m/s

final velocity=0 (due to impact)

time=0.3994 seconds

distance=11.01m

Then,

S = ut + (at^2)/2

a = 2(s - ut)t^2

a = 97.3 m/s^2

So,

Force = ma

Force = 1219(97.3)

Force = 118608.7 N

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Which of the best describes a solution

Answers

Answer:

1).A mixture having a uniform composition where the components can't be seen separately and all components are in the same state best describes a solution. In chemistry, a solution is a homogeneous mixture composed of two or more substances.

If an object free-falls for t seconds from rest to d distance, how far will the object fall from rest in twice the elapsed time?

Answers

Answer:

When the time of fall is doubled, the height of fall will be quadrupled

Explanation:

Given;

height of fall, h = d m

time of fall, t = t s

initial velocity of the object, u = 0 m/d

The height of fall of the object is calculated from the kinematic equation below;

\(h = ut + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\2h = gt^2\\\\g = \frac{2h}{t^2}\)

where;

g is acceleration due to gravity, which is constant

if the time of fall is doubled, the height of fall is calculated as;

\(\frac{2h_1}{t_1^2} = \frac{2h_2}{t_2^2} \\\\\frac{h_1}{t_1^2} = \frac{h_2}{t_2^2}\\\\(Note: h_1 = d, \ and \ t_1 = t)\\\\h_2 = \frac{h_1t_2^2}{t_1^2} \\\\h_2 = \frac{(d)(2t_1)^2}{t_1^2} \\\\h_2 = \frac{(d)(2t)^2}{t^2}\\\\h_2 = \frac{(d)\times 4t^2}{t^2}\\\\h_2 = 4d\)

Therefore, when the time of fall is doubled, the height of fall will be quadrupled

On a dry winter day, if you scuff your feet across a carpet, you build up a charge and get a shock when you touch a metal doorknob. In a dark room you can actually see a spark about 2 cm long. Air breaks down at a field strength of 3 × 10^6 N/C. How much charge have you built up? As- sume that just before the spark occurs, all the charge is in your finger, drawn there by in- duction due to the proximity of the doorknob. Approximate your fingertip as a sphere of di- ameter 1.42 cm, and assume that there is an equal amount of charge on the doorknob 2 cm away. Answer in units of C How many electrons does this correspond to? The elemental charge is 1.60218 × 10-19 C.

Answers

The number of electrons that corresponds to the number of charges is 2.71 × 10¹⁰ electrons.

How much charge have you built up?

The breakdown field strength of air is 3 × 10⁶ N/C, and the distance between the fingertip and the doorknob is 2 cm, so the electric field between the two is given by:

E = 3 × 10⁶ N/C

The electric field causes the charge on the fingertip to be drawn towards the doorknob, so we can calculate the charge on the fingertip using the formula:

q = 4π ε_0 x Er²

where;

r is the radius of the fingertip (0.71 cm) and

ε_0 is the permittivity of free space (8.854 × 10^-12 C^2/Nm²).

q = 4  x π  x 8.854 × 10⁻¹² x 3 × 10⁶  x  0.71²

q = 2.17 × 10⁻⁸ C

The charge on the doorknob is equal and opposite to the charge on the fingertip, so the total charge on both is calculated as;

Q_total =  2  x 2.17 × 10⁻⁸ C

= 4.34 × 10⁻⁸ C.

The number of electrons is calculated as follows;

number of electrons = q / e

where;

e is the elementary charge (1.60218 × 10⁻¹⁹ C).

number of electrons = ( 4.34 × 10⁻⁸ C / 1.60218 × ⁻¹⁹ C )

number of electrons = 2.71 × 10¹⁰ electrons

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A sample of gold (d = 19.32 g/cm^3) has a mass of 1.25 kg. what is the correct setup to calculate its volume (v) in liters?

Answers

Taking into account the definition of density, the volume of the sample of gold is 0.0646998 L.

Definition of density

Density is defined as the property that allows us to measure the amount of mass in a certain volume of a substance.

The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Volume in this case

In this case, you know that:

Density= 19.32 g/cm³Mass= 1.25 kg= 1250 gVolume= ?

Replacing in the definition of density:

19.32 g/cm³= 1250 g÷ volume

Solving:

19.32 g/cm³× volume= 1250 g

volume= 1250 g÷ 19.32 g/cm³

volume= 64.6998 cm³= 0.0646998 L (1 cm³= 0.001 L)

In summary, the volume of the sample of gold is 0.0646998 L.

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An object is lifted from the surface of a spherical planet to an altitude equal to the radius of the planet. As a result, what happens to the mass and weight of the object?.

Answers

Answer:

SEE below

Explanation:

MASS is a measure of the amount of matter in an object....it will remain the same ....

  WEIGHT is a measure of gravitational pull on the object and is inversely dependent on the square of the distance between the two bodies...so weight will be LESS than on the surface of the planet

a wire 2.22 m long carries a current of 10.7 a and makes an angle of 40.4° with a uniform magnetic field of magnitude b = 1.99 t. calculate the magnetic force on the wire.

Answers

Answer:

47.86 N

Explanation:

The magnetic force on a current-carrying wire in a magnetic field is given by the formula:

F = BIL sinθ

where F is the magnetic force, B is the magnetic field, I is the current, L is the length of the wire, and θ is the angle between the wire and the magnetic field.

Substituting the given values, we get:

F = (1.99 T) x (10.7 A) x (2.22 m) x sin(40.4°)

F = 47.86 N

Therefore, the magnetic force on the wire is 47.86 N, in the direction perpendicular to both the magnetic field and the wire.

*IG:whis.sama_ent

Helppp I attached a screenshot

Helppp I attached a screenshot

Answers

I believe the answer is 25 I'm not sure tho

What is a hard glassy green or black rock found in the valley mexico and used to make razor sharp weapons?

Answers

In conclusion, obsidian is a for the hard glassy green or black rock found in the valley of Mexico and used to make razor sharp weapons. It is a natural volcanic glass that was historically used by civilizations like the Aztecs for making cutting tools and weapons. Its sharp edges made it an excellent choice for hunting and warfare.

The hard glassy green or black rock found in the valley of Mexico and used to make razor sharp weapons is called obsidian. Obsidian is a natural volcanic glass that forms when lava cools rapidly with minimal crystal growth. It has a smooth and shiny surface, and its sharp edges make it ideal for creating cutting tools and weapons.
Obsidian has been used by ancient civilizations for thousands of years due to its ability to hold a sharp edge. The Aztecs, for example, used obsidian to make weapons such as knives, spearheads, and arrowheads. These tools were highly effective in hunting and warfare.
In conclusion, obsidian is a for the hard glassy green or black rock found in the valley of Mexico and used to make razor sharp weapons. It is a natural volcanic glass that was historically used by civilizations like the Aztecs for making cutting tools and weapons. Its sharp edges made it an excellent choice for hunting and warfare.

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I NEED HELP PLEASE, THANKS! :)
A positively charged light metal ball is suspended between two oppositely charged metal plates on an insulating thread as shown below. After being charged once, the plates are disconnected from the battery. Describe the behavior of the ball.

I NEED HELP PLEASE, THANKS! :) A positively charged light metal ball is suspended between two oppositely

Answers

Answer:

The ball will be attracted to the negatively charged plate. It'll touch and pick up some electrons from the plate so that the ball becomes negatively charged. Immediately the ball is repelled by the negative plate and is attracted to the positive plate. The ball gives up electrons to the positive plate so that it is positively charged and suddenly attracts to the negative plate again, flies over to it and picks up enough electrons to be repulsed by negative plate and again to the positive plate and that continues.

The behavior of the ball will be like a pendulum kind of motion swinging between the two charged plates.

The positive ball would go toward the negatively charged plate first. After which, it would lose the positive charge and becomes negatively charged. Due to the negative charge, it will repel the negatively charged plate and will start traveling towards the positive plate this time.  

   

The process would continue which will create a pendulum kind of motion for the charged light metal ball between the plates, and this will continue until either of the one the positive or the negative plate became neutral (discharged).

Hence, the behavior of the ball will be like a pendulum kind of motion swinging between the two charged plates.

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5. Graph A plots a race car's speed for 5 seconds. The car's
rate of acceleration is 6 m/s?. True or false

Answers

The answer for the cars speed is tue

Which gives you a frame of reference for your speed when you are riding a train?

Answers

Answer:

anything stationary

Explanation:

anything that is not moving outside the train like passing trees or the train's station is considered to be a frame reference.

i reallllly need someone to answer this quick. it's fine if you can't though

i reallllly need someone to answer this quick. it's fine if you can't though

Answers

Answer:

The correct order of answers goes:

\(\left[\begin{array}{ccc}Ionic\\Electronegativity\\Metallic\\Cation\end{array}\right]\)

Explanation:

Ionic - Ionic bonds are formed between a metal and a nonmetal (typically). Nonmetals are typically more electronegative elements because they are seeking to gain electrons to achieve atomic stability while metals want to give up electrons to those elements to become atomically stable. Therefore, the nonmetals are much more electronegative in comparison to the metals.

Electronegativity - Electronegativity is used mathematically to predict the type of bond that will occur between elements. The larger electronegativity has the smaller electronegativity subtracted from it to give us a number that we then apply to ranges within a table and try to decipher what kind of bond will be formed.

Metallic - This plays into both explanations already given. Metallic bonds will form between metals, meaning their electronegativities will be much lower. Higher differences between electronegativities (anything above 1.7) is considered ionic, while anything from 0.1 to 1.69 is considered covalent (these split to make polar and nonpolar covalence).

Cation - Cation is the term for a positively charged ion. It comes from cathode (a scientist completed an experiment with the cathode ray tube where they accelerated positively charged particles throughout it).

7. Two people are pushing a 40.0kg table across the floor. Person 1 pushes with a force of 490N
[W], and person 2 pushes with a force of 565N (N). If the coefficient of kinetic friction between
the table and the floor is 0.613, determine the acceleration of the table.(12.7m/s2 [49.1° Nofw])

Answers

Answer:

20.4 \(m/s^{2}\)

Explanation:

To start doing this problem, first draw a free body diagram of the table. My teacher always tells us to do this, and I find that it is very helpful. I have attached a free body diagram to this answer- take a look at it.

First, let us see if Net force = MA. To do that, we need to determine whether the object is at equilibrium horizontally. For an object to be at equilibrium, it either needs to be moving at a constant velocity or not moving at all. Also, if an object is at equilibrium, there will not be any acceleration. But we know that there IS acceleration horizontally, so it cannot be in equilibrium. If it is not in equilibrium, we can use the formula ∑F= ma.

Let us determine the net force. Since the object is moving horizontally, we can ignore the weight and normal force, because they are vertical forces. The only horizontal forces we need to worry about are the applied force and force of friction.

Applied force = 1055 N (490 + 565)

Friction force= Unknown

To find the friction force, use the kinetic friction formula, Friction = μkN

μk is the coefficient, which the problem includes- it is 0.613.

N is the normal force, which we have to find.

*To find the normal force, we have to determine if the object is at equilibrium VERTICALLY. Since it has no acceleration vertically (it's not moving up/down), it is at equilibrium. Now, when an object is at equilibrium in one direction, it means that all the forces in that direction are equal. What are our vertical forces? Weight (mg) and Normal force (N). So it means that the Normal force is equal to the Weight.

Weight = mg = (40)(9.8) = 392 N

Normal force = 392 N

Now, plug it back into the formula (μkN): (0.613)(392) = 240.296 N

Friction = 240.296 N

Now that we know the friction, we can find the horizontal net force. Just subtract the friction force, 240.296 from the applied force, 1055 N

Horizontal Net Force: 814.704 N

Now that we know the net force, plug in the numbers for the formula

∑F= ma.

814.704 = (40.0)(a)

*Divide on both sides)

a = 20.3676 m/s^2

Round it to 3 significant figures, to get:

20.4 \(m/s^{2}\)

7. Two people are pushing a 40.0kg table across the floor. Person 1 pushes with a force of 490N[W], and

Definition: The energy transferred by a force to a moving object.

Answers

Answer:

Force applied

Explanation:

An object will remain at its state of rest unless a non zero for act on it

which of the following processes use mechanical energy as their principal energy source

Answers

The processes that use mechanical energy as the principal energy source are Conventional milling, Ultrasonic machining,Water jet cutting So option c,d & e are  correct.

The processes that use mechanical energy as the principal energy source are:

Conventional milling: In conventional milling, mechanical energy is used to rotate the milling cutter, which removes material from the workpiece.

Ultrasonic machining: Ultrasonic machining utilizes mechanical vibrations to remove material from the workpiece. Ultrasonic energy is converted into mechanical energy to produce high-frequency vibrations that aid in material removal.

Water jet cutting: Water jet cutting employs high-pressure water streams to cut through various materials. The energy source is mechanical, as pumps are used to generate and propel the high-pressure water.

Therefore option c,d & e are correct.

1 Which of the following processes use mechanical energy as the principal energy source (three correct answers):

(a) electrochemical grinding

(b) laser beam machining

(c) conventional milling

(d) ultrasonic machining

(e) water jet cutting

(f) wire EDM

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A ball rolls off a flat roof and hits the ground 2 seconds later. The roof is ? meters high

Answers

Answer: The roof is 19.6 meters high.

Explanation:

As the ball rolls on the flat roof, when it starts falling down there is no initial velocity in the vertical axis, so we can define the initial vertical velocity as zero. (We define the time t= 0s as the moment when the ball starts falling down)

Now, the only force acting on the vertical axis will be the gravitational force, then the acceleration in the vertical axis is the vertical acceleration:

a(t) = -9.8m/s^2.

Now, to get the vertical velocity, we need to integrate over time, and get:

v(t) = (-9.8m/s^2)*t + v0

where v0 is the initial vertical velocity, and as we already know, this is zero.

v(t) = (-9.8m/s^2)*t

Now to get the position, we integrate again over time:

p(t) = (-4.9m/s^2)*t^2 + p0

Where p0 is the initial position, if we define the zero in the position as the ground, then p0 will be equal to the height of the roof.

p(t) = (-4.9m/s^2)*t^2 + h

And we know that the ball hits the ground at t = 2s, then we have:

p(2s) = 0m = (-4.9m/s^2)*(2s)^2 + h

           (4.9m/s^2)*(2s)^2 = h

                   19.6m = h

The height of the roof is 19.6 meters.

which of the following is an assumption rather than a prediction of einstein's special theory of relativity? which of the following is an assumption rather than a prediction of einstein's special theory of relativity? length contraction time dilation the equivalence of mass and energy the constancy of the speed of light no material object can reach or exceed the speed of light.

Answers

The constancy of the speed of light is an assumption rather than a prediction of Einstein's special theory of relativity.

Einstein's special theory of relativity is a theory that explains how objects behave when they are moving at high speeds, especially near the speed of light. The theory makes several predictions and assumptions.

Length contraction and time dilation are predictions of the theory. They describe how objects appear to change in size and how time appears to slow down when they are moving at high speeds.

The equivalence of mass and energy is also a prediction of the theory. It describes how mass and energy are equivalent and can be converted into one another.

The constancy of the speed of light is an assumption of the theory. It assumes that the speed of light is always the same, no matter how fast an observer is moving. This means that the speed of light is a fundamental constant of the universe, and it cannot be exceeded by any material object. This assumption is supported by experimental evidence and has been confirmed many times.

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