A square metal plate of edge length 12 cm and negligible thickness has a total charge of 5.6 × 10-6 C. (a) Estimate the magnitude E of the electric field just off the center of the plate (at, say, a distance of 0.49 mm from the center) by assuming that the charge is spread uniformly over the two faces of the plate. (b) Estimate E at a distance of 29 m (large relative to the plate size) by assuming that the plate is a charged particle.

Answers

Answer 1

Answer:

a) 2.2*10^7 N/C

b) 60 N/C

Explanation:

To start with, we say that the

Area charge of the plate, σ = q/2A

σ = 5.6*10^-6 / 2(12*10^-2)²

σ = 5.6*10^-6 / 0.0288

σ = 1.944*10^-4 C²/m

Next, we find the electric field

Electric field, E = σ/Eo

Electric field, E = 1.944*10^-4 / 8.85*10^-12

Electric field, E = 2.2*10^7 N/C

b)

E = kq/r²

E = [8.99*10^9 * 5.6*10^-6] / 29²

E = 50344 / 841

E = 60 N/C

This means that the E at a distance of 29 m is 60 N/C


Related Questions

A toy car of mass 1.2 kg is driving vertical circles inside a hollow cylinder of radius 2.0m. It is moving at a constant speed of 6 m/s. a) Calculate the magnitude of the normal force acting on the car when it is on the top of the circle and when it is on the bottom of the circle, respectively. b) What is the minimum speed the car needs to go around the circle without falling off

Answers

Answer:

a)[tex]|N|=9.83\: N[/tex]  at the top

[tex]|N|=33.37\: N[/tex] at the botton

b) The minimum velocity will be [tex]v=4.43\: m/s[/tex].

Step-by-step explanation:

a) Using the second Newton's law, at the top of the circle we have.

[tex]\Sigma F=ma_{c}[/tex]

The forces at the top are the weight and the normal force.

[tex]W-N=m\frac{v^{2}}{R}[/tex]

[tex]mg-N=m\frac{v^{2}}{R}[/tex]

[tex]N=mg-(m\frac{v^{2}}{R})[/tex]

[tex]N=1.2*9.81-(1.2\frac{6^{2}}{2})[/tex]        

[tex]N=-9.83\: N[/tex]  

[tex]|N|=9.83\: N[/tex]      

At the botton of the circle we have:

[tex]N-W=m\frac{v^{2}}{R}[/tex]

[tex]N-mg=m\frac{v^{2}}{R}[/tex]

[tex]N=1.2*9.81+(1.2\frac{6^{2}}{2})[/tex]  

[tex]|N|=33.37\: N[/tex]

b) If we do the normal force equal to zero we can find the minimum velocity, which means:

[tex]W-0=m\frac{v^{2}}{R}[/tex]

[tex]mg=m\frac{v^{2}}{R}[/tex]

[tex]v=\sqrt{Rg}[/tex]

[tex]v=\sqrt{2*9.81}[/tex]

Therefore, the minimum velocity will be [tex]v=4.43\: m/s[/tex].

I hope it helps you!

plz solve 90-(3+9)∙7

Answers

Answer:

The answer is 6.

90 - (3+9) • 7

90 - (12) • 7

90 - 12 • 7

90 - 84

6

Convert time from 12-hour to 24-hour clock. 3 am​

Answers

Answer:

03:00        

Explanation:

12 HOUR CLOCK    24 HOUR CLOCK

12:00 AM            00:00

01:00 AM            01:00

02:00 AM            02:00

03:00 AM            03:00

04:00 AM            04:00

05:00 AM            05:00

06:00 AM            06:00

07:00 AM            07:00

08:00 AM            08:00

09:00 AM            09:00

10:00 AM            10:00

11:00 AM              11:00

12:00 PM            12:00

01:00 PM            13:00

02:00 PM            14:00

03:00 PM            15:00

04:00 PM            16:00

05:00 PM            17:00

06:00 PM            18:00

07:00 PM            19:00

08:00 PM            20:00

09:00 PM            21:00

10:00 PM            22:00

11:00 PM             23:00


How can an electromagnet be made stronger?

A.Add more coils of wire.

B.Add an iron core.

C.All the above.

D.Increase the voltage.

Answers

All four choices are correct responses. (A), (B), (C), (D)

What is the kinetic energy of a 2122 kg car parked in a parking lot?

Answers

Answer:

There is no kinetic energy.

Explanation:

Since K=1/2mv^2 where m=2122kg and v=0, clearly the car has no kinetic energy as multiplying by 0 results in 0. If the car were moving, there would be kinetic energy.

How do motion and Newton's laws apply to your everyday life? (all of the laws)​

Answers

Answer:

This may help

Examples of Newton's third law of motion are ubiquitous in everyday life. For example, when you jump, your legs apply a force to the ground, and the ground applies and equal and opposite reaction force that propels you into the air. Engineers apply Newton's third law when designing rockets and other projectile devices.

Explanation:

A 55 kg skater spins with a speed of 7.2 m/s with her arms outstretched making a
radius of 0.6 m. Calculate the angular momentum of the skater. *
33 kg m^2/s
0 237.6 kg m^2/s
396 kg m^2/s
660 kg m^2/s

Answers

e xddd  snoAnswer:n

E

xplanation:s no

A train takes 2.5 hours to travel 120 kilometers. What is the train's average speed?

A: 0.02 hr/km
B: 48 km/hr
C: 48 hr/km
D: 0.02 km/hr

PLS HELPPP

Answers

Answer:

48

Explanation:

The formula is d, time t, and speed or rate of travel r is:

d = rt.

We know that d = 120 km and t = 2 hours and 30 minutes = 2.5 hrs.

So you now plug in for d and t to find r, we get:

120 km = r(2.5 hrs)

divide both sides by 2.5 and we get

120 km/2.5 hrs = [r(2.5 hrs)]/2.5 hrs

120 km/2.5 hrs = r(2.5 hrs/2.5 hrs)

48 km/hr = r(1)

r = 48 km/hr

Speed = (distance covered) / (time to cover the distance)

Speed = (120 km) / (2.5 hr)

Speed = (120/2.5) (km/hr)

Speed = 48 km/hr (B)

**WILL MARK BRAINLIEST IF CORRECT**
The wavelength of light released from a hydrogen atom depends on the

Select one:
a.
excited state and ground state of an electron.
b.
proton to neutron ratio of the nucleus.
c.
the number of electrons the hydrogen atom has.
d.
type of filter being used to view the light.

Answers

Answer:

a

Explanation:

why do bees sting i think they do because when the get disturbed they use thier stinger to sting people

Answers

bees only sting when they feel threatened. so stay calm by then. they aren’t mean, just scared of you when you start going crazy.

In the final stages of production, a pharmaceutical is sterilized by heating it from 25 to 75C as it moves at 0.2 m/s through a straight thin-walled stainless steel tube of 12.7-mm diameter. A uniform heat flux is maintained by an electric resistance heater wrapped around the outer surface of the tube. If the tube is 10 m long, what is the required heat flux

Answers

Answer:

The answer is "[tex]12682.267\ \ \frac{W}{m^2}[/tex]"

Explanation:

Calculating the mass flow rate of fluid:

[tex]m= \rho AV[/tex]

   [tex]= \rho \frac{\pi}{4} D^2\ V\\\\= 100 \times \frac{\pi}{4} \times (0.0127)^2\times 0.2\\\\=0.0253 \ \frac{kg}{s}\\\\[/tex]

Calculating the amount of heat transfer.

[tex]q =m\timesC_p(T_{m,0}-T_{m,i})[/tex]

  [tex]=0.0253 \times 4000 (75-25)\\\\=0.0253 \times 4000(50)\\\\=0.0253 \times 200,000 \\\\= 5060 \ W[/tex]

Calculating the required value for heat flux:

[tex]q"=\frac{q}{A_s}[/tex]

   [tex]=\frac{q}{\pi DL}\\\\= \frac{5060}{\pi \times 0.0127 \times 10}\\\\= 12682.267 \frac{W}{m^2}\\[/tex]

suppose you want to determine the surface area of this sugar cube. it has edges that are each 2 cm long. if you cut the cube in half what is the surface area of each half? what is the total surface area of both halves​

Answers

Answer:

Half: 6 cm^2    Whole: 12 cm^2

Explanation:

First, we know that the edges of the cube are 2 cm long. So there are 6 faces on a cube. We do 2x6=12 cm^2 as our total surface area. Then it asks for each half. So you would divide it by 2 and get 6 cm^2 as your half.

an oscillator with a mass of 310 g and a period of 0.180 s has amplited that decreases by 20 % during each complete oscillation what is the damping constant

Answers

Answer:

1.241/s

Explanation:

From this question, we have the following information:

Mass of oscillator = 310

The time Period, t = 0.180

Decrease = 20 %

Amplitude of oscillation has the formula

A = Aoe^yt

1-20% = 80%

= 0.80

Y x 0.18 = -ln(0.8)

= 0.18Y = 0.2234

Y = 0.2233/0.18

Y = 1.241/s

The damping constant y is Therefore equal to 1.241s

What are some of the physical properties of minerals

Answers

Answer:

hardness, luster, color, streak, specific gravity, cleavage, fracture, and tenacity.

Explanation:

doesn't really need one.

Assume the ground is uniformly level. If the horizontal component a projectile's velocity is doubled, but the vertical component is unchanged, what is the effect on the time of flight

Answers

Answer:

Explanation:

Time of flight = 2 x u sinα / g where u sinα is vertical component of projectile's velocity u .

So Time of flight = 2 x vertical component / g

vertical component = constant

g is also constant so

Time of flight will also be constant .

It will remain unchanged .

A 2.0-kg mass swings at the end of a light string (length = 3.0 m). Its speed at the
lowest point on its circular path is 6.0 m/s. What is its kinetic energy at an
instant when the string makes an angle of 50° with the vertical?

Answers

Answer:

Kinetic Energy = 36 Joules

Explanation:

Given =

Mass = 2kg

Velocity = 6m/s

Solution =

Kinetic Energy = 1/2 × mv²

Kinetic Energy = 1/2 × 2 × 6 × 6

Kinetic Energy = 36 Joules

The kinetic energy of the string is 36 Joules.

To find the kinetic energy, the values given are

Mass m = 2 kg

speed v = 6m/s

What is kinetic energy?

  If an object is in motion, the energy of the object is said to be kinetic energy. The object kinetic energy will be changed unless it has the changes in the mass and speed.

The unit of Kinetic energy is Joules.

Formula for kinetic energy is,

                 K. E = 1/2 mv²

where, K. E - Kinetic energy

          m - mass

          v - velocity

Substituting all the values given,

          K. E = 1/2 ( 2 × 6² )

                 = 1/2 × 2 × 6 × 6

                = 36 J.

So, the kinetic energy of the string is 36 J.

Learn more about Kinetic energy,

https://brainly.com/question/4080953

#SPJ2


Two different liquids are poured into a jar until it is half full. The jar is then sealed shut and shaken. The liquids undergo a chemical reaction that releases thermal energy and also
emits a new gas into the far. The new gas increases the pressure inside the jar. After the far is sealed, it is an example of an)

Answers

Answer:

A closed system.

Explanation:

The three major types of system are: open, closed and isolated. Open system interacts with its surroundings with respect to its particles and energy. A closed system interacts with its surroundings with respect to energy but not its particles. While an isolated system does not interact with its surroundings in any way.

Therefore, after the jar is sealed, it is an example of a closed system. This is because the emitted gas could not escape into the surroundings, but thermal energy was emitted into its surroundings after the chemical reaction has taken place.

What is Gravitational force?​

Answers

Answer:

the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface

Explanation:

Answer:

Gravitational force is the force of attraction in which body having certain mass in the universe attracts every other body which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

What is the correct definition of a 'field vector'?

a) A measurement that must have both a number and a unit
b) A measurement that can only be measured using scientific digits
c)A measurement that has both a magnitude and direction represented with an arrow
d)A measurement that is drawn in as it cannot be seen visually

i think it is c but can someone help me with this?

Answers

Answer: Yes the answer is C

Explanation: Look a pictures of field vectors, they are represented with the arrows.

Find the momentum of an object traveling at 15 m/s if it has a mass of 2. I kg?​

Answers

Answer:

momentum=31.5

Explanation:

given,

mass(m)=2.1kg

velocity(v)=15m/s

momentum(p)=?

now,

p=mv

p=15×2.1

p=31.5 kgm/s

Janice jumps directly up into the air. Which direction is she accelerating as she moves upward?
A Up
B.
Down
C.
Not accelerating

Answers

Answer:

b down

Explanation:

because as she is jumping she is bending her nees so the acceleration is down words

Answer:

b down

Explanation:

A student determines a value for a force using the formula F = k I l.
k is a constant with units of N A-1 m-1
I is current measured in mA
l is length measured in mm
The student uses the numbers directly from each measurement in their calculation.
What will be the units of the force from that calculation?

Answers

1 Newton force is equal to the 10⁻⁵ dynes. The unit of force will be dyne and the value of force will be 0.1 dynes.

What is force?

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration.

Its SI unit is Newton, MKS unit is kgm/s² and CGS unit is dyne.

The given formulae are;

F = k I l

k is a constant with unit=  N A-1 m-1

I is currently measured in mA = 10⁻³A

l is the length measured in mm= 10⁻³ m

F = k I l

F= N A-1 m-1× 10⁻³A×10⁻³ m

F= 10⁻⁶ N                 ( 1N = 10⁻⁵ dyne)

F= 0.1 dyne

Hence the unit of force will be dyne and the value of force will be 0.1 dynes.

To learn more about the force refer to the link;

https://brainly.com/question/26115859

What is an indicator that the universe is exapanding?

Answers

Answer:

*Doppler effect by the displacement or towards the red

*The microwave temperature of the universe

Explanation:

The expansion of the universe can be visualized in various facts

* the stars and galaxies are moving away from us, this is observed in the Doppler effect by the displacement or towards the red of the hydrogen lines.

* The microwave temperature of the universe that comes from everywhere, this temperature is the rest of the temperature of an initial great explosion (big ban), for which the expanding universe must cool down.

A 30.8 kg box rests on an incline of 13 degrees. What is the normal force, in Newtons, exerted by the incline?

Answers

so 30.8/13= is 2.369

so round your ans to I dp which is

2.4d/kg

CAN SOMEONE PLEASE HELPPPPPP

Answers

Answer:

0.54

Explanation:

2.7÷5 = 0.54

Hope this helps!

A squirrel pulls a 8.7 kg bag of acorns along the ground with a constant force of 80 N. If the force of friction opposing this sliding is 32 N. what will be the acceleration of the bag of acorns?​

Answers

Answer:

[tex]a=5.51\ m/s^2[/tex]

Explanation:

Given that,

The mass of a bag of acorns, m = 8.5 kg

The force acting on the bag = 80 N

The force of friction = 32 N

We need to find the acceleration of the bag of acorns.

Net force acting on it is = 80 N - 32 N

= 48 N

Let a be the acceleration of the bag of acorns. So,

F = ma

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{48}{8.7}\\\\a=5.51\ m/s^2[/tex]

So, the acceleration of the bag of acorns is [tex]5.51\ m/s^2[/tex].

what happens to the strength of an electromagnet when the number of coils in the solenoid in increased
a. it depends on what metal makes up the solenoid
b. it increases
c. it remains the same
d. it deceases

Answers

Answer:

B. It increases

Explanation:

Im sure

Need help with this pleases

Answers

The answer is D ! :)

3. Two balls are released from the same height. One is released from rest and the other is thrown straight down. Which
will have the larger acceleration as they fall neglecting air resistance?
a. The dropped ball
b. The thrown ball
c.They will have the same accelerations

Answers

Answer:

B. The thrown ball

Explanation:

because you are giving the ball a higher force causing the acceleration to be higher

A 0.100-kg ball is thrown with a speed of 20.0 m/s at an angle of 30.0° with the horizontal. Find
the momentum of the ball (a) at its maximum height, and (b) just before it strikes the ground.

Answers

Answer:

25.0

Explanation:

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