A charge of 50-μC is placed on the y axis at y = 3.0 cm and a 77-μC charge is placed on the x axis at x = 4.0 cm. If both charges are held fixed, what is the magnitude of the initial acceleration of an electron (me = 9.1 x 10-31 kg) released from rest at the origin?

Answers

Answer 1

Answer:

Explanation:

We shall first calculate the electric field at origin .

Field due to first charge

= KQ / R²

= 9  x 10⁹ x 50 x 10⁻⁶ / .03²

E₁ = 5 x 10⁸ N/C

Field due to second charge

= KQ / R²

= 9  x 10⁹ x 77 x 10⁻⁶ / .04²

E₂ = 4.33  x 10⁸ N/C

Resultant field E = √ ( 5² + 4.33² )  x 10⁸

= 6.6 x 10⁸ N/C

Force on electron = E x q

= 6.6 x 10⁸ x 1.6 x 10⁻¹⁹ N

= 10.56 x 10⁻¹¹ N

Acceleration = force / mass

=   10.56 x 10⁻¹¹ / 9.1 x 10⁻³¹

= 1.16 x 10²⁰ m /s²

Answer 2

Answer:

[tex]a=1.16\times 10^{20}\ m/s^2[/tex]

Explanation:

Given that,

First charge, [tex]q_1=50\ \mu C = 50\times 10^{-6}\ C[/tex]. It is placed at y = 3 cm

Second charge, [tex]q_2=77\ \mu C = 77\times 10^{-6}\ C[/tex] . It is placed at x = 4 cm.

Force on electron due to q₁.

[tex]F_1=\dfrac{kq_1e}{r^2}\\\\F_1=\dfrac{9\times 10^9\times 1.6\times 10^{-19}\times 50\times 10^{-6}}{(0.03)^2}\\\\F_1=8\times 10^{-11}\ N[/tex]

Force on electron due to q₂.

[tex]F_2=\dfrac{kq_1e}{r^2}\\\\F_2=\dfrac{9\times 10^9\times 77\times 10^{-6}\times 1.6\times 10^{-19}}{(0.04)^2}\\\\F_2=6.93\times 10^{-11}\ N[/tex]

The net force on the electron is given by :

[tex]F=\sqrt{F_1^2+F_2^2} \\\\F=\sqrt{(8\times 10^{11})^2+(6.93\times 10^{-11})^2} \\\\F=1.058\times 10^{-11}\ N\\\\\text{or}\\\\F=10.58\times 10^{-11}\ N[/tex]

Let a is the acceleration of the electron. Net force is given by :

F = ma

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{10.58\times 10^{-11}}{9.1\times 10^{-31}}\\\\a=1.16\times 10^{20}\ m/s^2[/tex]

So, the acceleration of the electron is [tex]1.16\times 10^{20}\ m/s^2[/tex].


Related Questions

Manu takes 30 minutes from his house to reach his school on a bicycle. If the cycle has a speed of 4m/s find the difference between his house and the school.

Answers

Answer:

7200 m

Explanation:

From the question given above, the following data were obtained:

Time (t) = 30 mins

Speed (S) = 4 m/s

Distance (d) =.?

Next, we shall convert 30 mins to seconds. This can be obtained as follow:

1 mins = 60 s

Therefore,

30 mins = 30 mins × 60 s / 1 mins

30 mins = 1800 s

Thus, 30 mins is equivalent to 1800 s.

Finally, we shall determine the difference between Manu's house and his school by calculating the distance. This is illustrated below:

Time (t) = 1800 s

Speed (S) = 4 m/s

Distance (d) =.?

Speed = Distance /time

4 = Distance /1800

Cross multiply

Distance = 4 × 1800

Distance = 7200 m

Therefore, the difference between Manu's house and his school is 7200 m

Describe how resistance affects the flow of current in a circuit

Answers

Resistance decreases the flow of current in a circuit.

A car starts from a spotlight and is traveling with a velocity of 10 m/s Ein
20 seconds. What is the acceleration of the car?

Answers

Answer:

ANSWER

Initial Velocity (u) = 10 m/sec

Acceleration (a) = 5 m/sec

2

Distance (s) = 30 m

Final velocity (v) = ??

Using Newton's Third law of Motion,

v

2

=u

2

+2as

v

2

=10

2

+2×5×30

v

2

=100+300

v

2

=400

v =

400

v = 20 m/sec

_____________________________

ANSWER =

FINAL VELOCITY = 20 m/sec

Answered By

toppr

213 Views

How satisfied are you with the answer?

This will help us to improve better

answr

Get Instant Solutions, 24x7

No Signup required

girl

More Questions by difficulty

EASY

MEDIUM

HARD

Explanation:

it's easy


A bowling ball is dropped from rest. What is the ball's velocity after falling for 5 seconds?
Equation: Vy =g*t

Answers

Answer:

545432344455555322 we 45year 7of and

In a transformer, the incoming primary voltage is 120 V. There are 100 windings in the primary coil. The secondary coil has 65 windings. What is the outgoing voltage of this transformer?
a
151.9 V
b
64.41 V
c
102.8 V
d
78.02 V

Answers

Answer:

78.02 V

Explanation:

Given that,

Primary voltage in a transformer is 120 V

No of windings in the primary coil is 100

No of windings in the secondary coil is 65

We need to find the outgoing voltage of the transformer. For a transformer, the ratio of primary voltage to the secondary voltage is equal to the ratio of turns in Primary coil to the turns in secondary coil are equal. So,

[tex]\dfrac{V_p}{V_s}=\dfrac{N_p}{N_s}\\\\\dfrac{120}{V_s}=\dfrac{100}{65}\\\\V_s=\dfrac{120\times 65}{100}\\\\V_s=78\ V[/tex]

So, out of the given options, the correct one is option (d) i.e. 78.02 V

A force is applied to a 2.1 kg mass and produces 3 m/s- acceleration.
What acceleration would be produced by the same force applied to a 12.1 kg mass?
Answer in units of m/s2.

Answers

Answer:

f=m×a

f=2.1×3

f=6.3

f=ma

6.3=12.1a

a=0.52m/s²

Help plz
Which of the following graphs best represents the expected experimental data between the force of gravitational attraction between two varying masses positioned 1 m apart

Answers

Answer:

I'm pretty sure it's D

Explanation:

because the greater the mass, the greater the gravitational pull is on it. but you probably shouldn't take my word on it, lol

A man is walking toward the back of an airplane at 7 m/s. The plane is flying West at 245 m/s. What is the speed and direction of the plane relative to the man?

Answers

Answer:

The speed of the plane relative to the man is 245.1 m/s

The direction of the plane is S 88.36⁰ W

Explanation:

Given;

velocity of the man toward the airplane, Vy = 7 m/s

velocity of the airplane, Vx = 245 m/s west

The speed of the plane relative to man is given by;

<----------------------

                          ↑

                          ↑

                          ↑

Complete this diagram to form a right angled triangle, with the hypotenuse as the relative velocity of the plan with respect to the man.

R² = 245² + 7²

R² = 60074

R = √60074

R = 245.1 m/s

The direction of the plane is given by;

tan θ = 245 / 7

tan θ = 35

θ = tan ⁻¹ (35)

θ = 88.36°

The direction of the plane is S 88.36⁰ W

                   

A train slows down as it rounds a sharp horizontal turn, going from 100 km/h to 60.0 km/h in the 14.0 s it takes to round the bend. The radius of the circle is 160 m. Compute the total acceleration and the angle at the moment the train speed reaches 60.0 km/h.

Answers

Answer:

The magnitude of the total acceleration of the train is approximately 1.909 meters per square second.

The direction of total acceleration with respect to radial acceleration is approximately -24.578º.

Please note that negative sign indicates that train is decelerating.

Explanation:

From Physics, we know that magnitude of the acceleration experimented by the train ([tex]a[/tex]), measured in meters per square second, while rounding the bend is the Pythagorean identity involving radial and tangential accelerations ([tex]a_{r}[/tex], [tex]a_{t}[/tex]), measured in meters per square second:

[tex]a = \sqrt{a_{t}^{2}+a_{r}^{2}}[/tex] (Eq. 1)

If we assuming that train decelerates at constant rate, then each component is determined by following expressions:

[tex]a_{t} = \frac{v_{f}-v_{o}}{t}[/tex] (Eq. 2)

[tex]a_{r} = \frac{v_{f}^{2}}{R}[/tex] (Eq. 3)

Where:

[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final speeds, measured in meters per second.

[tex]t[/tex] - Deceleration time, measured in seconds.

[tex]R[/tex] - Bend radius, measured in meters.

If we know that [tex]v_{o} = 27.778\,\frac{m}{s}[/tex], [tex]v_{f} = 16.667\,\frac{m}{s}[/tex], [tex]t = 14\,s[/tex] and [tex]R = 160\,m[/tex], then each acceleration component is calculated:

[tex]a_{t} = \frac{16.667\,\frac{m}{s}-27.778\,\frac{m}{s} }{14\,s}[/tex]

[tex]a_{t} = -0.794\,\frac{m}{s^{2}}[/tex]

[tex]a_{r} = \frac{\left(16.667\,\frac{m}{s} \right)^{2}}{160\,m}[/tex]

[tex]a_{r} = 1.736\,\frac{m}{s^{2}}[/tex]

Then, the magnitude of the total acceleration of the train is:

[tex]a = \sqrt{\left(-0.794\,\frac{m}{s^{2}} \right)^{2}+\left(1.736\,\frac{m}{s^{2}} \right)^{2}}[/tex]

[tex]a \approx 1.909\,\frac{m}{s^{2}}[/tex]

The magnitude of the total acceleration of the train is approximately 1.909 meters per square second.

After that, we obtain the angle of acceleration by using the following trigonometric expression:

[tex]\theta = \tan^{-1} \frac{a_{t}}{a_{n}}[/tex] (Eq. 4)

Where [tex]\theta[/tex] is the direction of total acceleration with respect to radial acceleration, measured in sexagesimal degrees.

If we get that [tex]a_{t} = -0.794\,\frac{m}{s^{2}}[/tex] and [tex]a_{r} = 1.736\,\frac{m}{s^{2}}[/tex], the direction of total acceleration experimented by the train is:

[tex]\theta = \tan^{-1}\left(\frac{-0.794\,\frac{m}{s^{2}} }{1.736\,\frac{m}{s^{2}} } \right)[/tex]

[tex]\theta \approx -24.578^{\circ}[/tex]

Please note that negative sign indicates that train is decelerating.

The direction of total acceleration with respect to radial acceleration is approximately -24.578º.

9. Which of Newton's laws explains why a rocket can be sent into space by aiming a force downward?​

Answers

Answer:

Newton's third law

Explanation:

the fuel is the action force

and the rocket going up is the reaction force

Where does transpiration occur

Answers

Answer:

it's when the water in water in plants is evaporated and turned into water vapor

Explanation:

hope it helps

How do scientists determine the number of neutrons in an isotope of an atom?


They subtract the atomic number from the atomic mass.


They find the number of protons.


They divide the atomic mass by two.


They add the number of electrons and protons.

Answers

Answer:

They subtract the atomic number from the atomic mass

Hope this helps

Please mark as the brainliest

Select the correct answer. In which situation is maximum work considered to be done by a force? A. The angle between the force and displacement is 180°. B. The angle between the force and displacement is 90°. C. The angle between the force and displacement is 60°. D. The angle between the force and displacement is 45°. E. The angle between the force and displacement is 0°.

Answers

Answer:

A.  The angle between the force and displacement is 180°.

Answer:

a

Explanation:

an aiplane is traveling at 500 mph for 3.5 hours. how far did the plane travel

Answers

Answer:

1750mile

Explanation:

500/h

3.5h=3.5×500=1750

Acceleration due to gravity (ag) = 9.8 m/s2. An object is dropped from a bridge. How
fast will the object be falling in 6.3 seconds?

Answers

Answer:

V = 61.74m/s

Explanation:

Given the following data;

Acceleration due to gravity = 9.8m/s²

Time, t = 6.3 secs

Since it's a free fall, initial velocity = 0

Thus, to find the final velocity, we would use the first equation of motion;

[tex] V = U + at[/tex]

Substituting into the equation, we have;

[tex] V = 0 + 9.8 * 6.3[/tex]

V = 61.74m/s

Therefore, the final velocity is 61.74m/s

3. A satellite orbits Earth at a constant speed.
What part of the satellite's motion is
changing?
A speed
B friction
C inertia
D acceleration

Answers

I believe the answer is D.

A 1.5 kg block is pulled across a horizontal surface that has a coefficient of kinetic friction of 0.60. a. What is the force of friction exerted by the surface on the block?

Answers

Answer: 8.82 N

Fg= (1.5) (9.8) = 14.7

Fk= (0.60) (14.7) = 8.82

A car starts at a position of 4km and moves a final position of 5 km. What is the total distance traveled by the car?
A. 1 km
B.-9 k m
C. 9 km
D. -1 km

Answers

Answer:

its c. 9km

Explanation:

Because it you add the 4km+5km that gives you a total of 9km

If a cheetah can maintain a constant speed of 5.00 m/s, how far does it travel in 1.00 minute?

Answers

Answer: 300 m/m

Explanation: 5.00 m/s • 60 =300/m/m

The average velocity and time of motion for an objects are recorded as
Vavg = +2.0 m/s. Ai= 3.0 s
What is the displacement of the object?
O 0.67 m
O 6m
o 3m
O 1.5 m

Answers

This is the answer hope you get it :)
1.5m it is the displacement

Molten material beneath an erupting volcano. Point A at molten material under ground to the left of the volcano. Point B is at the bottom on the side of the volcano. Use the drop-down menus to answer the questions. Label the type of igneous rock that will form at point A. Label the type of igneous rock that will form at point B.

Answers

Answer:

Magma

Lava

:)

Explanation:

i did it and got it right

Will the velocity of the book change as it moves across the surface with NO friction? Explain your answer.

Answers

Explanation:

If we push on the book with a force of less than 5 N, the book won't move, because the frictional force will exactly balance the force we apply. If we push with a 1 N force, a 1 N frictional force opposes us.

As mass is constant during free-weight resistance training, a greater impulse will result in a greater velocity.Explanation:

PLEASE ANSWER
For an object launched horizontally the acceleration in the y direction will always be ____.​

Answers

Answer: initial velocity in y direction

Explanation: coz i did dis before XD

a rocket is fired upwards with an intial velocity of 46.5 m/s. find the rocket's maximum height

Answers

Answer:

The value is [tex]s = 110.32 \ m[/tex]

Explanation:

From the question we are told that

   The initial velocity is  u=  46.5 m/s

Generally from kinematic equations we have that

     [tex]v^2 = u^2 + 2as[/tex]

Here  [tex]a = -g = -9.8 \ m/s^2[/tex]

   The negative sign is because it is moving against gravity

At maximum height v =  0 m/s        

So

     [tex]0 = (46.5)^2 + 2* (-9.8)s[/tex]

=>   [tex]s = 110.32 \ m[/tex]

HELP!!!! ILL GIVE BRAINLIEST!!HURRY !!!!



what is 5.6 x 10^15 converted to x10^12

Answers

Answer:

5,600

Explanation:

You split x10^15 into x10^12 and x10^3. Our new equation is 5.6x10^3x10^12

We do 5.6x10^3 and we get 5,600. Our new equation is 5,600x10^12. I hope this answered your question.

5,600 i did it in my calculator hope this helps

cerebrum what is the meaning

Answers

Answer:

Plural cerebrums cerebra The largest part of the vertebrate brain, filling most of the skull and consisting of two cerebral hemispheres divided by a deep groove and joined by the corpus callosum, a transverse band of nerve fibers. The cerebrum processes complex sensory information and controls voluntary muscle activity.

Explanation:

The cerebrum is the uppermost part of the brain. It contains two hemispheres split by a central fissure. The cerebrum itself contains the major lobes of the brain and is responsible for receiving and giving meaning to information from the sense organs, as well as controlling the body.

A type of elevator called a cage is used to raise and lower miners in a mine
shaft. Suppose the cage carries a group of miners down the shaft. If the
unbalanced force on the cage is 60.0 N, and the mass of the loaded cage is
1.50 x 10²kg, what is the acceleration of the cage?

Answers

Answer:

Acceleration, a = 0.04 m/s²

Explanation:

Given the following data;

Force = 60N

Mass = 1500kg

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

[tex] F = ma[/tex]

Where;

F represents force.

m represents the mass of an object.

a represents acceleration.

Making acceleration (a) the subject, we have;

[tex]Acceleration (a) = \frac{F}{m}[/tex]

Substituting into the equation;

[tex]Acceleration (a) = \frac{60}{1500}[/tex]

Acceleration, a = 0.04 m/s²

A person ran with a speed of 6 m/s onto the skateboard .What is the speed with which he ride on the skate board

Answers

Answer:

First, remember the conservation of energy.

We can define the kinetic energy as:

K = (1/2)*m*v^2

where m is the mass, and v is the velocity.

The velocity of the person is 6m/s, and the mass is unknown.

Now, when the person rides the skateboard, this kinetic energy must remain constant, if M is the mass of the skateboard, the speed after the person rides ir will be:

K' = (1/2)*(m + M)*v'^2

Where v' is the new velocity.

In this case, we can suppose that the skateboard has really small mass compared with the person.

M < < m

then:

(m + M) ≈ m

then:

K' = (1/2)*m*v'^2 = K = (1/2)*m*v^2

from that equation, we can conclude that:

v' = v

Then if the velocity before riding the skateboard was 6m/s, then after would be also 6m/s.

What is the velocity of a car that travels 400meters in 16 seconds

Answers

Answer:

The answer is 25 m/s

Explanation:

The velocity of the car can be found by using the formula

[tex]v = \frac{d}{t} \\ [/tex]

d is the distance

t is the time taken

From the question we have

[tex]v = \frac{400}{16} \\ [/tex]

We have the final answer as

25 m/s

Hope this helps you

(Physical science!!!)
Wetlands have characteristics of both dry land and of bodies of water. How have amphibians adapted to this environment?

A.
They can lay their eggs underwater or on dry land.
B.
Water can pass through their lungs; they have night vision.
C.
Water can pass through the skin; they have lungs.
D.
They retain a set of gills their whole lives.

Answers

Amphibians retain a set of gills their whole lives that help them to breathe in the water. So, the correct option is D.

What are Amphibians?

Amphibians are defined as the class of cold-blooded vertebrates which is made up of frogs, toads, salamanders, newts, and caecilians. All amphibians that spend part of their lives in water and part of their lives on land.

Amphibians are born with gills, and some outgrow them when they become adults while others retain them for their entire lives.

Thus, the correct option is D.

Learn more about Amphibians, here:

https://brainly.com/question/14213726

#SPJ1

Other Questions
Which states don't have winner takesall? -4x - 2y - z = 1512x + 6y + 3z = 452x + 5y + 72 = -29 Which of the following describes how yoga can help reduce stress? The expected value of a fair game is *zerogreater than 1between -1 and 1less than 1 A person throws a shot put from height of 5 feet with an initial vertical velocity of 40 feet per second. Use the vertical motion model, h = -16t^2 + vt + s, where v is the initial velocity in feet per second and s is the initial height in feet, to calculate the amount of time the shot put is in the air before it hits the ground. What does a reader learn about a speech by its tone?A. The setting of the speechB. The details of the speechdet hisC. The structure of the speechD. The feeling of the speech The atoms of which element will gain electrons to form an ion?A. mercuryB. bromineC. berylliumD. potassium Read the excerpt below and answer the question....television sets, cassette players, cameras and radios, jewelry and clothing, and sometimes were hungry enough to devour everything in the refrigerator...What is the connotation of "devour" in the passage from Once Upon a Time?rapid eatingdishonest peoplesilent stealingcurious intruders Read the excerpt from Animal Farm. As winter drew on, Mollie became more and more troublesome. She was late for work every morning and excused herself by saying that she had overslept. . . . But there were also rumours of something more serious. One day, as Mollie strolled blithely into the yard, flirting her long tail and chewing at a stalk of hay, Clover took her aside. "Mollie, she said, "I have something very serious to say to you. This morning I saw you looking over the hedge that divides Animal Farm from Foxwood. One of Mr. Pilkington's men was standing on the other side of the hedge. AndI was a long way away, but I am almost certain I saw thishe was talking to you and you were allowing him to stroke your nose. What does that mean, Mollie? "He didn't! I wasn't! It isn't true! cried Mollie, beginning to prance about and paw the ground. "Mollie! Look me in the face. Do you give me your word of honour that that man was not stroking your nose? "It isn't true! repeated Mollie, but she could not look Clover in the face, and the next moment she took to her heels and galloped away into the field. A thought struck Clover. Without saying anything to the others, she went to Mollie's stall and turned over the straw with her hoof. Hidden under the straw was a little pile of lump sugar and several bunches of ribbon of different colours. Three days later Mollie disappeared. Which event prompts Clover to look in Mollies stall? Clover sees a man petting Mollie, but Mollie denies it. Mollie runs away and is never seen again. Clover discovers that Mollie has sugar and ribbons. Mollie makes excuses for not coming to work. How does ryan justify the idea that people have a right to a living wage Frasier Cabinets wants to maintain a growth rate of 5 percent without incurring any additional equity financing. The firm maintains a constant debt-equity ratio of .55, a total asset turnover ratio of 1.30, and a profit margin of 9 percent. What must the dividend payout ratio be? The distance between Dallas and Houston is 136 kilomenters. There are approximately 8 kilometers in 5miles. What is the measurement that is closest to the number of miles between these two? 3. Who gets to post news items online? A middle school sold 673 student tickets and staff tickets for the end of year carnival.The tickets for the carnival were $2.50 for students and $4.00 for staff. The school made$1,924.00 from student and staff ticket sales. Which equation will help to determine thenumber of student tickets (s) and the number of staff tickets (1) sold?OA45 + 2.5f = 673OB. suf = 1,924 C. 2.5s + 4f = 673 + 1,924OD. 2.5s + 4f = 1,924 (WILL GIVE BRAINLIEST!!)PLEASE ANSWER THE DIAGRAM IN SYMBOLS AND EXPLAIN A Store makes a profit of 18 on a blanket after a markup of 30% what was the selling price [tex]x^{2} \neq \lim_{n \to \infty} a_n \pi \pi \alpha \alpha \pi \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \geq \geq \neq \neq[/tex] solve this Does this make sense? If not can you help me fix it. (I suck at writing stories)also this story is only the thoughts so there is no talkingMolly: What the? What is going on? I'm going to see why the power is off. Oh my god no! Why would he do that? What happened!?Christina: What's that noise? Ugh, what is James doing? Why is he going down to the basement? What happened to the power, why did he turn it off? Whats crying? THE DOG! He...he killed it. Why is he running upstairs. He is back down stairs, what-what is wrong with him? He knows I didnt do anything, why is he staring at me? What has gone into James?James: Why is the power out? What is the noise in the basement? I should go check it out. What is that noise? No, what is she doing! NO! I have to do something! WHAT DID SHE DO! What was the American Revolution? PLZ HELPWhich of the following is a synonym for the word torrent? Select all that apply.angerattacksurgedrip