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o-na [289]
4 years ago
10

A bar of silicon is 4 cm long with a circular cross section. If the resistance of the bar is 280 Ω at room temperature, what is

the cross-sectional radius of the bar?
Physics
1 answer:
monitta4 years ago
4 0

Answer:

r = 17.05 cm

Explanation:

Given that,

Length of silicon bar is 4 cm or 0.04 m

Resistance of the bar is 280 ohms

We know that the resistivity of the silicon is 640 Ωm

We need to find the cross-sectional radius of the bar. Let it is r.

Using definition of resistance of an object. It is given by :

R=\rho\dfrac{l}{A}

A is area of bar, A = πr²

So,

R=\rho\dfrac{l}{\pi r^2}\\\\r^2=\dfrac{\rho l}{R\pi}\\\\r^2=\dfrac{640\times 0.04}{280\pi}\\\\r=0.1705\ m\\\\r=17.05\ cm

So, the cross-sectional radius of the bar is 17.05 cm.

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Taking the density of air to be 1.29 kg/m3, what is the magnitude of the angular momentum (in kg · m2/s) of a cubic meter of air
Svet_ta [14]

The magnitude of the angular momentum of air will be 4.128 x 10^(-3) kg·m^2/s

The rotating equivalent of linear momentum in physics is called angular momentum. Because it is a conserved quantity—the total angular momentum of a closed system stays constant—it is significant in physics. Both the direction and the amplitude of angular momentum are preserved.

Given the density of air to be 1.29 kg/m3 and a wind speed of 73.0 mi/h

We have to find the magnitude of the angular momentum

Let,

ρ = Density of air = 1.29 kg/m^3

v = Speed of wind = 73.0 mi/h = 0.032 km/s

M = angular momentum of air

Let the volume of air be 1 m^3

Mass = Volume x ρ = 1 x 1.29 = 1.29 kg

Momentum = M = mass x velocity

Momentum = 1.29 x 0.0032

Momentum = 4.128 x 10^(-3) kg·m^2/s

Hence the magnitude of the angular momentum of air will be 4.128 x 10^(-3) kg·m^2/s

Learn more about angular momentum here:

brainly.com/question/7538238

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8 0
2 years ago
Earth recycles water through select all that apply
Natasha2012 [34]

Answer:

evaporation to condensation to precipitation.

6 0
3 years ago
Read 2 more answers
An ore car of mass 35000 kg starts from rest and rolls downhill on tracks from a mine. At the end of the tracks, 17 m lower vert
BaLLatris [955]

Answer:

Explanation:

Given

mass of car m=35,000 kg

Vertical displacement h=17 m

spring constant k=5.3\times 10^5 N/m

Considering we need to find out compression in the spring when it reaches to ground

Here Gravitational potential Energy is converted to kinetic energy which finally converts to Elastic Potential Energy

suppose x is the compression in spring

Potential Energy=mgh

Elastic potential energy=\frac{1}{2}kx^2

35000\times 10\times 17=0.5\times 5.3\times 10^5\times x^2

x=4.73 m

7 0
3 years ago
In the Electromagnetic Force, opposite charges will ________.
kiruha [24]
-- Charges with the same sign repel each other.

-- Charges with different signs attract each other.

-- This is called the "electrostatic force".

-- There's another set of forces called "magnetic forces", but

-- there's no such thing as "electromagnetic force".
6 0
3 years ago
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A constant electric field of magnitude E = 148 V/m points in the positive x-direction. How much work (in J) does it take to move
DochEvi [55]

Answer:

W=-2.1405\times 10^9\,J

Explanation:

Given:

electric field, E=148\,V.m^{-1}

charge, Q=-13\,\mu C=-13\times 10^{-6}\,C

initial position coordinates, p1 =(-18,-131)

final position coordinates,   p2 =(107,76)

We find the distance through which the charge has been moved:

d=\sqrt{(x1-x2)^2+(y1-y2)^2}

Where we have (x1,y1) & (x2,y2) as the initial and final coordinates of the points.

d=\sqrt{(107-(-81))^2+(76-(-131))^2}

d= 279.63\,m

Now we need the angle through which displacement is made with respect to the direction of electric field.

tan\,\theta= \frac{y2-y1}{x2-x1}

\theta= tan^{-1}[\frac{76-(-131)}{107-(-81)} ]

\theta= 47.75^{\circ}

Now from the relation between the change in potential difference:

\Delta V= E.d.cos\,\theta

\Delta V= 148\times 279.63\times cos\,47.75^{\circ}

\Delta V= 27826.06 V

∵The change in voltage is defined as the work done per unit charge.

∴\Delta V=\frac{W}{Q}

W=\frac{\Delta V}{Q}

Putting the respective values

W=\frac{27826.06 }{-13\times 10^{-6}}

W=-2.1405\times 10^9\,J

3 0
3 years ago
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