1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kodGreya [7K]
4 years ago
8

A square conducting plate 52.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric fiel

d of 82.0 kN/C directed to the right and perpendicular to the plate.
Find
(a) the charge density of each face of the plate and
(b) the total charge on each face.
Physics
1 answer:
Mrac [35]4 years ago
5 0

Explanation:

Given:  uniform electric field E= 82.0 kN/C.

a) charge density σ =ε_0 E.

therefore, \sigma =82\times10^3\times3.85\times10^{-12}\\=0.0000003157= 315.7 nC/m^2

b)Total charge on each face = σA

q=σA

=315.7\times10^{-9}\times52\times10^{-4}\\=1.614\times10^{-9}= 1.614 \text{ nC}\\\text{Similarly on the other face }  = -1.614 \text{ nC}

You might be interested in
True or False. Atmosphere, lithosphere, and hydrosphere function together to create environments for the biosphere.
skelet666 [1.2K]

Answer:

True

Explanation:

Biosphere refer to regions of the earth(sphere) that supports life. It is made up of biotic and abiotic components. Its abiotic components are non-living components that support life and  is made up of the lithosphere (the earth crust,mantle) , atmosphere(area of gases and air which is  held by gravitational force) and the hydrosphere(all water bodies which includes ocean, sea, lakes, rivers etc).

3 0
4 years ago
By evaluating their dot product, find the values of the scalar s for which the two vectors ~b = ˆx + syˆ and ~c = ˆx−syˆ are ort
AlladinOne [14]

Answer:

s=\pm 1

Explanation:

The dot product of two vectors \vec{a}=a_1\vec{x}+b_1\vec{y} and \vec{b}=a_2\vec{x}+b_2\vec{y} is given by

\vec{a}\cdot\vec{b}=a_1\cdot a_2+b_1\cdot b_2

The dot product of two orthogonal vector is always zero thus if \vec{a}=\vec{x}+s\vec{y} and \vec{b}=\vec{x}-s\vec{y}, their dot product would be

\vec{a}\cdot\vec{b}=1\times1+s\times-(s)=1-s^2=0

\implies 1-s^2=0

\implies s^2=1

\implies s=\pm 1

4 0
3 years ago
The boiling point of sulfur is 444.6 celsius .sulfur melting point is 586.1 fahrenheit lower than its boiling?
rewona [7]

Answer:

(a) Melting point is 136.8°C

(b) Melting point is 278.24°F

Boiling point is 832.28°F

(c) Melting point is 409.8K

Boiling point is 717.6K

Explanation:

(a) 586.1°F = 5/9(586.1 - 32)°C = 307.8°C

Melting point = 444.6°C - 307.8°C = 136.8°C

(b) Melting point = 136.8°C = (9/5×136.8) + 32 = 278.24°F

Boiling point = 444.6°C = (9/5×444.6) + 32 = 832.28°F

(c) Melting point = 136.8°C = 136.8 + 273 = 409.8K

Boiling point = 444.6°C = 444.6 + 273 = 717.6K

7 0
3 years ago
A grocery cart of mass 16 kg is being pushed at a constant speed up a 12-degree ramp by a force of [{MathJax fullWidth='false' f
lawyer [7]

Answer:

If the cart is being pushed at a constant speed, then the acceleration in the direction of motion is zero. Hence, the force in the direction of the motion is zero, according to Newton's Second Law.

\Sigma F_x = ma_x

For simplicity, I will denote the direction along the inclined ramp as x-direction.

In the question the value of the force is not clearly given, so I will denote it as F_P

\Sigma F_{net_x} = ma_x\\\Sigma F = F_{P}\cos(29^\circ) - mg\sin(12^\circ) = ma_x = 0\\F_{P}\cos(29^\circ) = mgsin(12^\circ)\\F_{P}\times 0.8746 = 16\times 9.8\times  0.2079\\F_{P} = 37.2740

Here the angle between the applied force and the x-direction is 12° + 17° = 29°

The x-component of the weight of the cart is equal to sine component of the weight.

Since the cart is rolling on tires the kinetic friction does no work.

Work done by the applied force:

W_{F_P} = F_P_x \cos(29^\circ)\times 7.5 = 244.5 ~J

Work done by the weight of the cart:

W_{mg} = -mg\sin(12^\circ)\times 7.5 = -16\times 9.8 \times 0.2079 \times 7.5 = - 244.5~J

Since the x-component of the weight is in the -x-direction, its work is negative.

Conveniently, the total work done on the particle is zero, since its velocity is constant.

5 0
3 years ago
car 1 is traveling south at 18 m/s and has a full load, giving it a total mass of 14,650 kg. Car 2 is traveling north at 11 m/s
kvasek [131]

Answer:

v_{4}= 80.92[m/s] (Heading south)

Explanation:

In order to calculate this problem, we must use the linear moment conservation principle, which tells us that the linear moment is conserved before and after the collision. In this way, we can propose an equation for the solution of the unknown.

ΣPbefore = ΣPafter

where:

P = linear momentum [kg*m/s]

Let's take the southward movement as negative and the northward movement as positive.

-(m_{1}*v_{1})+(m_{2}*v_{2})=-(m_{1}*v_{3})+(m_{2}*v_{4})

where:

m₁ = mass of car 1 = 14650 [kg]

v₁ = velocity of car 1 = 18 [m/s]

m₂ = mass of car 2 = 3825 [kg]

v₂ = velocity of car 2 = 11 [m/s]

v₃ = velocity of car 1 after the collison = 6 [m/s]

v₄ = velocity of car 2 after the collision [m/s]

-(14650*18)+(3825*11)=(14650*6)-(3825*v_{4})\\v_{4}=80.92[m/s]

4 0
3 years ago
Other questions:
  • According to einstein's general theory of relativity, why does light take a curved path when passing near a galaxy?
    12·1 answer
  • Light travels as a(n) _______ wave.<br> mechanical<br> compression<br> electromagnetic
    5·2 answers
  • A bicycle racer is going downhill at 11.0 m/s when, to his horror, one of his 2.25 kg wheels comes off when he is 75.0 m above t
    11·1 answer
  • Which term could be used to explain why someone could safely sit on a hot wooden bench but not a hot metal bench? A. Radiation B
    7·2 answers
  • When you accelerate and steer at the same time, you are?
    8·2 answers
  • An airplane is trying to land on the runway using the path below. Vectors and Scalars Questions – NAT 5 What is the total distan
    11·1 answer
  • Do tidal waves have the properties of a transverse wave, longitudinal wave, or both? ωΟω
    5·1 answer
  • Un cubo de hielo de 80 g de masa y a una temperatura de –10 oC se deja caer dentro de un vaso de agua a 0 oC. Si no hay intercam
    10·1 answer
  • Hey! please help i’ll give brainliest!
    14·1 answer
  • What are the forces acting on the car driving to the left?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!