Physics Exercise Problem, Exercises of Physics

Another physics exercise problem that will help

Typology: Exercises

2025/2026

Uploaded on 12/16/2025

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23.211
Model Assume the dust is apoint particle Assume the carpet is
an infinite plane Neglect buoyancy of air
Visualize
sx
Fe
010jYI
Jun
70m tE
Solve
Given Q10mL coerpet dimensions 4.0m 2.0m mouse 2.5 10 6g
Find dust
FEg qwe can solve for Fe E
and Efirst 2
first and oi.fi t1.25 10 em
use this to find Esurface charge density
Efor an innate plane is that I70621.51
negative ble
Then find Fe net force on particle is ON electure field points
Fret Fe Ig ON inwards dueto
negativecharge
Fe Fg DN
Fe Fg mg 2.5 10 6g g9.872
Fe 245 10 8N
a
pf2

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Model Assume the^ dust^ is^ a^ point^ particle^

Assume the^ carpet^ is

an infinite plane Neglect^ buoyancy^ of^

air Visualize Fe^ s^ x 0 10

j Y^

I

Jun

(^7) 0m

t E

Solve

Given Q^ 10mL^ coerpet^ dimensions^

4.0m 2.0m^ mouse 2.5^10 6g

Find dust

F Eg q

we can^ solve^ for^ Fe^

E

and E^ first 2

first and^ o^ i.fi t

1.25 (^10) em

use this^ to^ find^

E surface charge^

density

E for an innate plane is^ that^ I

negative ble

Then find Fe^

net force^ on^ particle^

is ON^

electure field points

Fret Fe^ Ig^ ON^

inwards due^ to

negative charge

Fe Fg D^ N

Fe Fg mg 2.5^10 6g^ g 9.

Fe 2 45 10

8 N

a

Review

we kept^ units^ consistent^ throughout^ on^ the^ final^9

C

which is^ the^ correct^

unit for charge

Since the^0 of the^ rug is^ 1.25 10

(^6) it makes sense that

the shange of^ the^ dust^ particle is^ also^ negative^ b^ c^ then^ they

would repel allowing the^ dust^ to^ suspend^ midair^ Also^ makes^

sense

that the^ charge of^ dust^ s^ of^ rug^

b c the particle is^ smaller

than 1m^ of^ area^ of^ the^ rug