Compute the electric charge on the surface which is the portion of the cone z = 3x2 + 3y2 in the first octant that lies between the planes z = 2 and z = 6. The charge density on the surface is given by σ(x, y, z) = xyz2 coulombs per square meter.

Answers

Answer 1

Answer:

9828 coulombs

Explanation:

z = [tex]\sqrt{3x^2 + 3y^2}[/tex]

Relation between the cartesian and polar coordinates

x = r cos ∅

y = r sin ∅

z = [tex]\sqrt{3x^2 + 3y^2}[/tex] = [tex]\sqrt{3r}[/tex]

next we calculate the surface charge density of the cone

б ( r, ∅ ) = xyz^2 = 3r^4 sin∅ cos∅

Charge given as

Q = ∫ б(r,∅ )ds

   = ∫ б(r,∅ ) [tex]\sqrt{1 +( \frac{dz}{dx})^2 + (\frac{dz}{dx} )^2 } dA[/tex]

after integration

Q  = ∫ б(r,∅ ) 2dA

Attached below is the remaining part of the solution

Compute The Electric Charge On The Surface Which Is The Portion Of The Cone Z = 3x2 + 3y2 In The First

Related Questions

Determine the gain in the potential energy when a 8.0 kg box is raised 17.2 m.

Answers

Answer:

The answer is 1376 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 10 m/s²

From the question we have

PE = 8 × 10 × 17.2

We have the final answer as

1376 J

Hope this helps you

Explanation:

potential energy = mgh

potential energy = 8 * 10 * 17.2

potential energy = 1376 joules

Calculate the p.e. of a 5 kg mass when it is (i) 3 m, (ii) 6 m, above the ground. (g = 10 N/kg)​

Answers

Explanation:

P.E=MGH

(1) P.E=5×10(G)×3

= 150 kg m^/s^ ( ^ =sqaure)

(2) P.E=5×10×6

= 300 kg m^/s^

Hope it helps, just remember the formula u can solve any question regarding gravition of earth (P.E=Mgh)

Is Time and Light both connected in anyway?​

Answers

Answer:

It is not connected by any way

If Chris throws the baseball 60 meters forward in 4.2 sec, what is the velocity of the ball? I need answer immediately

Answers

Answer:

14.3 m/s

Explanation:

velocity equation

v= d/t

v= 60/4.2

v=14.28

round it to 1 decimal place

v= 14.3m/s

Three vectors , , and , each have a magnitude of 52.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 29.0 ˚, 191 ˚, and 311 ˚, respectively. What are (a) the magnitude and (b) the angle of the vector (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of in the range of (-180°, 180°)? What are (e) the magnitude and (f) the angle (in the range of (-180°, 180°)) of a fourth vector such that ?

Answers

Answer:

a)   A´= A  

b)   θ₁´ = 29º,  θ₂´ = - 169º ,  θ₃´ = -49º

Explanation:

In this exercise you are asked to give the magnitudes and angles of the vectors from another system of

reference

a) The magnitudes

The magnitude of a vector, the size of which is a scalar, this does not depend on the reference system, since it is obtained by subtracting the coordinates of the end point minus the coordinate of the origin of the vector

          A = [tex]x_{f}[/tex]- x₀

if the vectors are measured in another reference frame

         x_{f}´ = xx_{f}- U

         x₀´ = x₀ -U

where U is the distance between the two reference frames

         A´ = x_{f}´ - x₀´

we substitute

         A´ = (x_{f} - U) - (x₀-U) = x_{f} - x₀

         A´ = A

 it does not change

b) Angles

The given angles are measured from the positive part of the x axis in a counterclockwise direction, it is asked to give these angles from the x axis

     θ₁ = 29º

     does not change

     θ₁´ = 29º

    θ₂ = 191º

   we measure clockwise

     θ₂´ = θ₂ - 360

     θ₂´ = 191 - 360

     θ₂´ = - 169º

     θ₃ =311º

    we measure clockwise

     θ₃´ = 311 -360

     θ₃´ = -49º

When an 8 V battery is connected to a resistor, a 2 A current flows in the resistor. What is the resistor's value?
Ο Α. 2Ω
Ο Β. 4 Ω
Ο C. 8Ω
Ο D. 16 Ω

Answers

Answer:

B

Explanation:

V=IR    I= curren V=volt R=resistor

8=2.R   8/2=R R=4

A constant force acting on a body of mass 2 kg changes its
velocity from 1 m/s to 2 m/s in 20 s. If the direction of motion of
the body remains unchanged, the magnitude of the force that acted
on the body was 0.1 N.
True or False

Answers

Answer:

the correct answer is b

Answer:

true

Explanation:

just did it on ck12 lol

1. A pumpkin with a mass of 2 kg accelerates 2 m/s/s when an unknown force is applied to it. What is the amount of the force? ​

Answers

Answer:

The answer is 4 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 2 × 2

We have the final answer as

4 N

Hope this helps you

15. Which element will donate electrons?
nitrogen
chlorine
aluminum
sulfur

Answers

I think its nitrogen sorry if I’m wrong

List the three astronomical causes for the seasons

Answers

1. Is the Earth’s tilted axis

The flaming gorge bridge, in wyoming rises above a dry gulch. If you throw a rock straight out from the bridge, horizontally, and the rock's horizontal displacement is 255 cm, what was the speed that you thew the rock

Answers

Answer:

12.495m/s

Explanation:

Horizontal displacement is the range of the projectile motion.

The range is expressed as;

R = 2U/g

U is the speed at which the rock is thrown (initial speed)

g is the acceleration due to gravity.

Given

R = 255cm = 2.55m

g = 9.8m/s²

Required

Speed U

Substitute the given parameters into the formula as shown;

2.55 = 2U/9.8

Cross multiply

2U = 2.55×9.8

2U = 24.99

U = 24.99/2

U = 12.495m/s

Hence the speed that you thew the rock is 12.495m/s



A car drives 400 meters in 5 seconds. What is the cars speed in m/s?

Answers

Answer:

80/1

Explanation:

to figure out the answer of how many miles/meters per second divide the meters/miles by the second

so 400÷5 would be 80

80 meters per second

hope this helps :))

Water boils at 212°F. Which temperature is an equivalent temperature?

Answers

[tex]\mathrm {Hey, there!}[/tex]

Let's solve your problem:

We will convert your number, 212°F, to Kelvin and Celsius.

212°F is equal to 100° Celsius.

Now, let's do the Kelvin convert.

To convert Celsius to Kelvin, we have to add 273.5 to the amount of Celsius.

100° + 273.5 = 373.5

We have all our conversions. Finally, let's set them out.

Fahrenheit: 212°F

Celsius: 100°C

Kelvin: 373.5°K

A roller coaster is travelling 1 m/s at the top of the track. At the bottom of the track, 5 seconds later, it is travelling 36 m/s. What is the average acceleration?

7.2 m/s2
0.14 m/s2
36 m/s 2
7 m/s2

Answers

Answer:

7m/s²

Explanation:

Given parameters:

Velocity at the top = 1m/s

Velocity at the bottom  = 36m/s

Time  = 5s

Unknown:

Average acceleration = ?

Solution;

Acceleration is the rate of change of velocity with time. It is expressed as;

  A = [tex]\frac{v -u}{t}[/tex]

v is the velocity at the top

u is the velocity at the bottom

t is the time taken

 Now, insert the parameters and solve;

  A = [tex]\frac{36 - 1}{5}[/tex]   = 7m/s²

The average acceleration will be "7 m/s²".

Given values:

Top velocity,

v = 1 m/s

Bottom velocity,

u = 36 m/s

Time,

t = 5 s

The acceleration is:

→ [tex]A = \frac{v -u}{t}[/tex]

By putting the values,

       [tex]= \frac{36-1}{5}[/tex]

       [tex]= \frac{35}{5}[/tex]

       [tex]= 7 \ m/s^2[/tex]

Thus the answer above i.e., "option d" is correct.

Learn more about acceleration here:

https://brainly.com/question/19434332

Do larger bodies orbit smaller bodies or do smaller bodies orbit larger bodies? Provide some examples to support your answer.

Answers

Explanation:

the small bodies in the solar system include comets, asteroids, the objects in the Kuiper Belt and the Oort cloud, small planetary satellites, Triton, Pluto, Charon, and interplanetary dust. As some of these objects are believed to be minimally altered from their state in the young solar nebula from which the planets formed, they may provide insight into planet Earth and the formation and evolution of the solar system.

If an object has a fast velocity, the dots on a ticker tape diagram will be _____.

very long
far apart
very short
close together

Answers

Answer:

If an object has a fast velocity, the dots on a ticker tape diagram will be far apart.

I’m pretty sure the answer is “very long”

What quantities belong in cells X and Y?

X: centripetal acceleration
Y: period
X: tangential speed
Y: radius
X: radius
Y: centripetal acceleration
X: period
Y: tangential speed

Answers

Answer:

X: period

Y: tangential speed

Explanation:

100% on quiz your welcome(:

The quantities belonging in cells X and Y is to be considered as the

X: period

Y: tangential speed

Quantities belong in cells X and Y:

The equation for centripetal acceleration is

= v² / r

here,  v should be the tangential velocity of the body

And the radius of curvature.

So based on this, we can say that

Column X. Tangential Speed

Column Y. radius  

Learn more about cell here: https://brainly.com/question/15182235

Una fuerza resultante constante de módulo igual a 40 [N], actúa sobre un cuerpo que se mueve en línea recta.¿Que distancia ha recorrido ese cuerpo si su energía cinética varió en 8 [J]?

Answers

Responder:

0,2 m

Explicación:

Usando la fórmula para calcular el trabajo realizado expresada como;

Workdone = Fuerza * Distancia

Dado

Fuerza = 40N

Trabajo realizado = 8 julios

Necesario

Distancia

Sustituya los parámetros dados en la fórmula como se muestra;

Distancia = Trabajo / Fuerza

Distancia = 8/40

Distancia = 0,2 m

Por tanto, el cuerpo recorrió una distancia de 0,2 m

Classify each resource as renewable or nonrenewable.

Answers

Answer:

coal: nonrenewable

geothermal energy: renewable

wind: renewable

natural gas: nonrenewable

Explanation:

Have a good day

Thanks

Answer:

coal is non-renewable, the wind is renewable, I belive natural gas is not but I'm not to sure with that one. geothermal energy is renewable.

Explanation:

the gravitational field strength on mars is 3.7n/kg

Answers

Answer:

True

Explanation:

what is electricity

Answers

Answer:

Electricity is the flow of electrical power or charge. It is a secondary energy source which means that we get it from the conversion of other sources of energy, like coal, natural gas, oil, nuclear power and other natural sources, which are called primary sources.

The components of a 15-meters-per-second velocity at an angle of 60.° above the horizontal are (1) 7.5 m/s vertical and 13 m/s horizontal (2) 13 m/s vertical and 7.5 m/s horizontal (3) 6.0 m/s vertical and 9.0 m/s horizontal (4) 9.0 m/s vertical and 6.0 m/s horizontal

Answers

Answer:

13 m/s vertical and 7.5 m/s horizontal

Explanation:

❤️

The vertical and horizontal components of a projectile is required.

The correct option is (2) 13 m/s vertical and 7.5 m/s horizontal

u = Initial velocity of projectile = 15 m/s

[tex]\theta[/tex] = Angle of projectile = [tex]60^{\circ}[/tex]

The horizontal component

[tex]u_x=u\cos \theta\\\Rightarrow u_x=15\cos60^{\circ}\\\Rightarrow u_x=7.5\ \text{m/s}[/tex]

The vertical component

[tex]u_y=u\sin \theta\\\Rightarrow u_x=15\sin60^{\circ}\\\Rightarrow u_x=13\ \text{m/s}[/tex]

Learn more:

https://brainly.com/question/24681896

https://brainly.com/question/2686378

A bar magnet is a permanent magnet, While an electromagnetic temperary?​

Answers

yes an electromagnetic is temporary

When the car was stopped by the tree, its change in velocity during the collision was -6 meters/second. This change in velocity occurred in 2 seconds. What was the acceleration of the car?

Answers

6 meters per second

You will need to add six two times to find the acceleration

What is the root of all electrical systems?

1 batteries
2 electrons
3 atoms
4 non of the above

Answers

Answer:

I believe it's 2. I am not sure though.

How far will you travel in 3.5 hrs if you have an average velocity of 90 km/hr

Answers

Answer:

The answer is 315 km

1. Day and Night are caused by
10 points
A. The Tilt of the Earth’s Axis.
B. Earth’s Revolution around the sun
C. Earth's ellipical orbit
D. Earth's rotation on its axis.

Answers

answer : D , I know i’m correct !

Do you always need
more than one reactant
or more than one
product to have a
chemical reaction?

Answers

Answer:

no

Explanation:

Answer if you know

If you give me a good explanation on how quantum mechanics work, you get 20 points and possibly a brainliest.

Answers

Answer:

spectra.

Atomic spectra is series of colored lines which occures when atoms emit light of certain wavelengths. Element produces a particular set of spectral lines.

Electrons exist in shells and each shell has a specific energy. Electrons absorb photons and jump to higher energy levels.

Explanation:

s the statement, "You run faster than I do," qualitative or quantitative?

Answers

Answer:

qualitative, its an expression, not specific #'s

Explanation:

It is Qualitative

What is Qualitative or Quantitative?

Quantitative : Data is number based , countable or measurable

Qualitative : Data is interpretation based , descriptive and relating to language

Since , the statement given in question does not in include any kind of number or measurable quantity and its just an descriptive and relating to language . It is Qualitative

Learn more about Qualitative or Quantitative:

https://brainly.com/question/12831013?referrer=searchResults

#SPJ2

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