Edoziri Nsogbu na Fizik Isi

1. A capacitor efere yiri nke ahụ nwere mbụ ikike C, ikike nke oghere efu is ε_o, mpaghara efere is A, anya dị n'etiti efere dị iche iche is d. Ọ bụrụ na nkee Mpaghara efere mụbara ugboro anọ, anya dị n'etiti efere ndị ahụ na-aghọ 2d na ikike nke ohere efu bụ 5ε_o, kedu ikike ikpeazụ nke capacitor efere parallel.

A maara:

Ike nke capacitor = C

ikike nke oghere efu = ε _o

Mpaghara P nke dị n'oge = A

Anya dị n'etiti efere = d

Achọrọ: Ike nke capacitor (C)

Ngwọta:

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2. Kapasitọ nke nwere ikike kachasị ukwuu dabere na eserese dị n'okpuru bụ ...

Ngwọta:

Usoro nke capacitor efere parallel:

Ike nke capacitors:

Kapasitọ nke nwere ike kachasị ukwuu bụ capacitor C _3.

[irp]

3.

Tụlee ihe ndị a!
(1) Dielectric na-agbanwe agbanwe
(2) Nke nwere ike dị iche n'etiti efere ndị ahụ
(3) Efere thick
(4) Oke elu nke efere ahụ
(5) Anya dị n'etiti efere ndị ahụ
(6) Ọnụọgụ nke ọkụ eletrik
Ihe ndị na-emetụta ikike nke efere ndị yiri ibe ha capacitors bụ…

Ngwọta:

(1), (4) na (5)

4. Ntụnyere ikike nke capacitor 1 na 2 bụ…

A maara:

Kapasitọ 1:

Mpaghara elu = 2A

Anya dị n'etiti efere = d ₁

Kapasitọ 2:

Mpaghara elu = A

Anya dị n'etiti efere = 2 d ₁

Achọrọ: Ntụnyere ikike nke capacitors 1 na 2

Ngwọta:

[irp]

5.

Chọpụta ntụnyere nke ikike nke Parallel-plate capacitor I na II.

Ngwọta:

Ntụnyere ikike nke capacitors Parallel-plate I na II:

[irp]

6. Kapasitọ abụọ nwere efere yiri ibe ha nke egosiri na foto dị n'okpuru.

Ọ bụrụ na A ₁ = ½ A ₂ na d ₂ = 3 d _1, mgbe ahụ chọpụta oke ikike nke capacitor-plate parallel dị n'etiti onyonyo 2 na onyonyo 1.

A maara:

Kapasta nke nwere efere parallel I:

A ₁ = 1

d ₁ = 1

Kapasitọ parallel-plate II:

A ₂ = 2

d ₂ = 3

Achọrọ: oke ikike nke capacitor efere parallel dị n'etiti onyonyo 2 na onyonyo 1

Ngwọta:

Kapasta nke nwere efere parallel I:

Kapasitọ parallel-plate II:

Oke ikike nke capacitors nke efere parallel II na I:

GỤKWUO

1. Chọpụta ike eletrik n'ebe dị na 1 cm site na chaja 5.0 μ C. Coulomb constant (k) = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C.

A maara:

Anya dị n'etiti chaja (r) = 1 cm = 1/100 m = 0.01 m = 10 ^-2 m

Chajị (q) = 5.0 μ C = 5.0 x 10 ^-6 C

Ọnụọgụ na-agbanwe agbanwe (k) = 9 x 10 ⁹ Nm ² C ⁻²

Achọrọ: Ike eletriki (V)

Ngwọta:

Ike eletriki:

Ike eletriki bụ 4.5 x 10 ⁶ Volts

[irp]

2. -ana Q₁ = 5.0 μC ma kwụọ ụgwọ Q₂ = 6.0 μC. Coulomb na-agbanwe agbanwe (k) = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C. Isi A dị n'etiti ebubo ndị ahụ. Chọpụta ike eletrik na isi A.

A maara:

Chajị Q ₁ = -5.0 μ C = -5.0 x 10 ^-6 C

Anya nke isi ihe A site na Q ₁ = 10 cm = 0.1 m = 10 ^-1 m

Chajị Q ₂ = 6.0 μ C = 6.0 x 10 ^-6 C

Anya nke isi ihe a site na Q ₂ = 10 cm = 0.1 m = 10 ^-1 m

Ọnụọgụ na-agbanweghi agbanwe nke Coulomb (k) = 9 x 10 ⁹ Nm ² C ⁻²

Achọrọ: Ike eletriki na isi A

Ngwọta:

Ike eletriki 1 :

Ike eletriki 2 :

Ike eletrik na isi A :

V = V ₂ – V ₁

V = (54 – 45) x 10 ⁴

V = 9 x 10 ⁴

[irp]

3. -ana q₁ = 5.0 μC ma kwụọ ụgwọ q₂ = 6.0 μC. Coulomb na-agbanwe agbanwe (k) = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C. Chọpụta ike eletrik na isi A.

A maara:

Chajị Q ₁ = -5.0 μ C = -5.0 x 10 ^-6 C

Anya nke isi ihe A site na Q ₁ = 40 cm = 0.4 m = 4 x 10 ^-1 m

Chajị Q ₂ = 6.0 μ C = 6.0 x 10 ^-6 C

Anya nke isi ihe A site na Q ₂ = 50 cm = 0.5 m = 5 x 10 ^-1 m

Ọnụọgụ na-agbanweghi agbanwe nke Coulomb (k) = 9 x 10 ⁹ Nm ² C ⁻²

Achọrọ: Ike eletriki na isi A

Ngwọta:

Ike eletriki 1 :

Ike eletriki 2 :

Ike eletrik na isi A :

V = V ₁ + V ₂

V = (-11.25 + 10.8) x 10 ⁴

V = -0.45 x 10 ⁴

V = -4.5 x 10 ³

Ike eletriki na isi A bụ -4.5 x 10 ³ Volts

GỤKWUO

1. A na-eme ka elektrọn si n'ezumike gbapụta ọsọ site na ọdịiche nwere ike ịbụ V 12. Gịnị bụ mgbanwe na ike ike eletrik nke elektrọn?

A maara:

Ebuli dị na elektrọn (e) = -1.60 x 10 ^-19 Coulomb

Ike eletriki = voltaji (V) = Voltaji 12

Achọrọ: Mgbanwe na ike ike eletrik nke elektrọn (ΔPE)

Ngwọta:

ΔPE = q V = (-1.60 x 10 ^-19 C)(12 V) = -19.2 x 10 ^-19 Joules

Ihe ịrịba ama nke mwepu na-egosi na ike nwere ike ibelata.

[irp]

2. A na-anata efere abụọ yiri ibe ha. Nkewa dị n'etiti efere ndị ahụ bụ 2 cm, oke nke ọkụ eletrik dị n'etiti efere ndị ahụ bụ 500 Volt/mita. Kedu mgbanwe dị na ike ike nke proton mgbe a na-agba ọsọ site na efere positive charge ruo na efere charged na-adịghị mma.

A maara:

Oke nke ọkụ eletrik dị n'etiti efere (E) = 500 Volt/mita

Anya dị n'etiti efere ndị ahụ = 2 cm = 0,02 m

Chajị dị na proton = +1.60 x 10 ^-19 Coulombs

Achọrọ: Mgbanwe na ike eletrik (ΔPE)

Ngwọta:

Ike eletriki:

V = E s

V = (Volt 500/m)(0.02 m)

V = Volt 10

Mgbanwe nke ike eletrik:

ΔPE = qV

ΔPE = (1,60 x 10 ^-19 C)(10 V)

ΔPE = 16 x 10 ^-19 Joule

ΔPE = 1.6 x 10 ^{-1 8} Joule

[irp]

3. A na-ekewapụ chajị isi abụọ site na anya nke 10 cm. Chajị na isi A = +9 μC na chajị na isi B = -4 μC. k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C. Gịnị bụ mgbanwe na ike eletrik nke chajị na isi B ma ọ bụrụ na ọ gbadaa ọsọ gaa na isi A?

A maara:

Chajị A (q ₁ ) = +9 μC = +9 x 10 ⁻⁶ C

Chajị B (q ₁ ) = -4 μC = -4 x 10 ⁻⁶ C

k = 9 x 10 ⁹ Nm ² C ⁻²

Anya dị n'etiti ebubo A na B (r) = 10 cm = 0.1 m = 10 ^-1 m

Achọrọ: Mgbanwe na ike eletrik (ΔEP)

Ngwọta:

GỤKWUO

1. Ọdụ eletriki otu E = 8000 N/C na-agafe mpaghara square dị larịị A = 10 m ^2. Chọpụta otú ọkụ eletrik si aga.

A maara:

Oke nke ọkụ eletrik (E) = 8000 N/C

Mpaghara (A) = 10 m ²

θ = 0 ^o (nkuku dị n'etiti ntụziaka ọkụ eletrik na ahịrị e sere n'akụkụ ya)

Achọrọ: Ọgba ọkụ eletrik ( Φ)

Ngwọta:

Usoro nke ọkụ eletrik:

Φ = EA cos q

Φ = mmụba eletrik ( Nm ² /C) , E = mpaghara eletriki (N/C), A = mpaghara (m ² ), q = akụkụ dị n'etiti ahịrị ọkụ eletrik na ahịrị nkịtị.

Ọgba ọsọ eletriki:

Φ = EA cos q = (8000) (10) ( cos 0) = (8000) (10) (1 ) = 80,000 = 8 x 10 ⁴ Nm ² / C

[irp]

2. Ọdụ eletriki otu E = 5000 N/C na-agafe mpaghara square dị larịị A = 2 m ^2. Chọpụta otú ọkụ eletrik si aga.

A maara:

Ọdụ eletriki (E) = 5000 N/C

Mpaghara (A) = 2 m ²

θ = 60 ^o (nkuku dị n'etiti ntụziaka ọkụ eletrik na ahịrị e sere n'akụkụ ya)

Achọrọ: Ọgba ọkụ eletrik ( Φ)

Ngwọta:

Ọgba ọsọ eletriki:

Φ = EA cos q = (5000) (2) ( cos 60) = (5000) (2) (0.5 ) = 5000 = 5 x 10 ³ Nm ² /C

[irp]

3. Bọọlụ siri ike nke nwere radius mita 0.5 nwere chajị eletriki 10 μC n'etiti ya. Chọpụta otú ọkụ eletrik si agafe na bọọlụ siri ike.

A maara:

Radius nke bọọlụ (r) = 0.5 m

Chajị ọkụ eletrik (Q) = 10 μC = 10 x 10 ^-6 C

Achọrọ: Ọgba ọkụ eletrik ( Φ)

Ngwọta:

Ọdụ eletriki:

E = kq/r ²

E = (9 x 10 ⁹ Nm ² /C ² )( 10 x 10 ^-6 C) / 0.5 ²

E = (90 x 10 ³ ) / 0,25

E = 360 x 10 ³

E = 3.60 x 10 ⁵ N/C

Mpaghara elu:

A = 4 π r ² = 4 (3.14) (0.5) ² = (12.56) (0.25) = 3.14 m ²

Ọgba ọsọ eletriki:

Ahịrị ọkụ eletrik ndị ahụ na-adabere na mpaghara ahụ, nke mere na akụkụ dị n'etiti ntụziaka ọkụ eletrik na ahịrị e sere n'akụkụ ahụ, bụ 0 ^o.

Φ = EA cos q

Φ = ( 3.60 x 10 ⁵ ) ( 3.14 )( cos 0)

Φ = (11.304 x 10 ⁵ )(1)

Φ = 11.304 x 10 ⁵

Φ = 1.13 x 10 ⁶ Nm ² /C

GỤKWUO

1. Gbakọọ nha na ntụziaka nke ubi eletriki n'ebe A dị na 5 cm site na chaja isi Q = +10 μC. k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C)

A maara:

Chajị ọkụ eletrik (Q) = +10 μC = +10 x 10 ^-6 C

Anya dị n'etiti isi ihe A na chaja isi ihe Q (r _A ) = 5 cm = 0.05 m = 5 x 10 ^-2 m

k = 9 x 10 ⁹ Nm ² C ⁻²

Achọsiri ike: Ịdị ukwuu na ntụziaka nke ubi eletrik na isi A

Ngwọta:

Ntuziaka nke ubi eletrik na isi A:

Chajị eletriki dị mma, ya mere ụzọ nke ubi eletriki dị anya na chajị eletriki na isi ihe A.

[irp]

2. Gbakọọ nha na ntụziaka nke ubi eletriki na isi P dị na 10 cm site na chaja isi Q = -2 0 μC. k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C.

A maara:

Chajị ọkụ eletrik (q) = -20 μC = -20 x 10 ^-6 C

Anya dị n'etiti isi ihe P na chaja eletriki (r _P ) = 10 cm = 0.1 m = 1 x 10 ^-1 m

k = 9 x 10 ⁹ Nm ² C ⁻²

Achọrọ: Ịdị ukwuu na ntụziaka nke ubi eletrik na isi P

Ngwọta:

Ntuziaka nke ubi eletriki na isi A:

N'ihi ya, ọkụ eletrik ahụ na-ada ada, nke mere ka ọkụ eletrik ahụ gaa n'elu chajị ọkụ eletrik.

[irp]

3. A na-ekewa chajị isi abụọ site na anya nke 40 cm. Kedu ka oke na ntụziaka nke ubi eletriki dị na isi P dị n'etiti chajị abụọ ahụ, nke bụ 20 cm site na isi A?

A maara:

Chajị A (q _A ) = -2 μC = -2 x 10 ^-6 C

Chajị B (q _B ) = + 4 μC = +4 x 10 ^-6 C

Anya dị n'etiti chaja A na isi P (r _AP ) = 20 cm = 0.2 m = 2 x 10 ^-1 m

Anya dị n'etiti chaja B na isi P (r _BP ) = 20 cm = 0.2 m = 2 x 10 ^-1 m

Achọrọ: Ịdị ukwuu na ntụziaka nke ubi eletriki na isi P.

Ngwọta:

Chajị A bụ ihe na-adịghị mma nke mere na ntụziaka nke isi ihe eletriki dị n'akụkụ Q _A (n'aka ekpe).

Chajị B dị mma nke na ntụziaka nke isi ihe eletriki dị anya site na Q _B (n'aka ekpe).

Ọgbakọ eletriki niile dị na isi A:

E = E _A + E _B

E = (4.5 x 10 ⁵ ) + (9 x 10 ⁵ )

E = 13.5 x 10 ⁵ N/C

Ụzọ nke ọkụ eletrik na-aga n'ihu Q _A (n'aka ekpe).

[irp]

4. Oke nke ọkụ eletrik bụ efu na…

Chajị A bụ positive, chajị B bụkwa positive, nke mere na oke nke ọkụ eletrik ahụ bụ efu dị na isi P, n'etiti chajị abụọ ahụ.

A maara:

Chajị A (qA ₎ = + 20 μC = +20 x 10 ⁻⁶ C

Chajị B (q _B ) = +40 μC = +40 x 10 ⁻⁶ C

k = 9 x 10 ⁹ Nm ² C ⁻²

Anya dị n'etiti chajị A na chajị B = 20 cm

Ụgwọ dị n'etiti chajị A na isi P (r _AP ) = a

Anya dị n'etiti chaja B na isi P (r _BP ) = 20 – a

Achọsiri ike: Oke nke ọkụ eletrik ahụ efu dị na….

Ngwọta:

Oke nke ike eletrik nke chaja A na-emepụta na isi ihe P

Chajị A dị mma nke na ntụziaka nke isi ihe eletriki dị anya na chajị A (n'aka nri).

Oke nke ọkụ eletrik nke chajị B mepụtara na isi P:

Chajị B dị mma nke na ntụziaka nke isi ihe eletriki dị anya na chajị B (n'aka ekpe).

Oke ọkụ eletrik niile dị na ebe P = 0:

Anyị na-eji usoro quadratic chọpụta a.

Oke ike eletrik efu dị na sentimita asatọ site na chajị A ma ọ bụ sentimita iri na abụọ site na chajị B.

[irp]

5. Dabere na eserese dị n'okpuru, w bụ ebe a isi ihe P ka ọkụ eletrik dị na isi ihe P bụrụ efu? (k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C)

ngwọta

To gbakọọ ike ọkụ eletrik na isi P, echere na isi P enwere chajị ule dị mma. Q₁ dị mma ma Q dị mma₂ ọ bụ ihe na-adịghị mma, ya mere isi ihe P ga-adịrịrị n'aka nri nke Q₂ ma ọ bụ aka ekpe nke Q₁Ọ bụrụ na isi ihe P dị n'aka ekpe nke Q₁; ọkụ eletrik nke Q mepụtara₁ ebe P dị n'aka ekpe (pụọ na Q)₁) na ọkụ eletrik nke Q mepụtara₂ na isi P n'aka nri (na-aga Q₁). Ụzọ nke ubi eletrik dị iche nke mere na ubi eletrik abụọ ahụ ga-ewepụ ibe ha ka ike ubi eletrik dị na ebe P wee bụrụ efu.

A maara:

Q1 = +9 _μC = +9 x 10 ⁻⁶ C

Q2 = -4 _μC = -4 x 10 ⁻⁶ C

k = 9 x 10 ⁹ Nm ² C ⁻²

Anya dị n'etiti chajị 1 na chajị 2 = 3 cm

Anya dị n'etiti Q ₁ na isi P (r _1P ) = a

Anya dị n'etiti Q ₂ na isi P (r _2P ) = 3 + a

Achọrọ: ebe isi ihe P dị ka ebe ọkụ eletrik dị na isi ihe P si bụrụ efu

Ngwọta:

Isi P dị n'aka ekpe nke _Q1.

Ọdụ eletrik nke Q1 mepụtara _na isi P:

Ụgwọ ule ahụ dị mma, Q1 _dịkwa mma, nke mere na ebe ọkụ eletrik na-aga n'aka ekpe.

Ọdụ eletrik nke Q2 mepụtara _na isi P:

Ụgwọ ule ahụ dị mma, Q2 _{adịghịkwa} mma, nke mere na ụzọ ọkụ eletrik dị n'aka nri.

Ọdụ eletrik dị n'etiti A na isi A:

Jiri usoro quadratic chọpụta ihe dị na ya:

a = -1.25, b = -13.5, c = -20.25

Anya dị n'etiti Q ₂ na isi P (r _2P ) = 3 + a = 3 – 1.8 = 1.2 cm.

Isi P dị na 1.2 cm n'aka nri nke _Q1.

[irp]

GỤKWUO

1. Ebubo isi abụọ, Q_A = +8 μC na Q_B = -5 μC, a na-ekewapụ ha site na anya r = 10 cm. Kedu ka nha nke ike eletrikK = 8.988 x 10⁹ Nm²C^-2 = 9 x10⁹ Nm²C^-2.

A maara:

Chajị A (q _A ) = +8 μC = +8 x 10 ^-6 C

Chajị B (q _B ) = -5 μC = -5 x 10 ^-6 C

k = 9 x 10 ⁹ Nm ² C ⁻²

Anya dị n'etiti chaja A na B (r _AB ) = 10 cm = 0.1 m

Achọsiri ike : Oke ike eletrik

Ngwọta:

Usoro iwu Coulomb :

Oke ike eletrik:

[irp]

2. Ihe abụọ a na-agbaze agbaze dịka egosiri na eserese dị n'okpuru. Q _P = +10 μC na Q _q = +20 μC kewara site na anya r = 10 cm. Kedu ka ike electrostatic si dị.

A maara:

Chajị P (QP ₎ = +10 μC = +10 x 10 ^-6 C

Chajị Q (Q _Q ) = +20 μC = +20 x 10 ^-6 C

k = 9 x 10 ⁹ Nm ² C ⁻²

Anya dị n'etiti chaja P na Q (r _PQ ) = 12 cm = 0.12 m = 12 x 10 ^-2 m

Achọtara: Oke ike eletriki

Ngwọta:

[irp]

3. A haziri ihe atọ a na-agbakọ n'ahịrị dịka egosiri na eserese dị n'okpuru. Chajị A = -5 μC, chajị B = +10 μC na chajị C = -12 μC. Gbakọọ ike electrostatic dị na ihe B n'ihi ebubo abụọ ndị ọzọ.

A maara:

Chajị A (q _A ) = -5 μC = -5 x 10 ^-6 C

Chajị B (q _B ) = +10 μC = +10 x 10 ^-6 C

Chajị C (qC ₎ = -12 μC = -12 x 10 ^-6 C

k = 9 x 10 ⁹ Nm ² C ⁻²

Anya dị n'etiti ihe ndị dị n'ime A na B (r _AB ) = 6 cm = 0.06 m = 6 x 10 ^-2 m

Anya dị n'etiti ihe ndị dị n'ime B na C (r _BC ) = 4 cm = 0.04 m = 4 x 10 ^-2 m

Achọrọ: Oke na ntụziaka nke ike electrostatic net na ihe B

Ngwọta:

Ike dị n'ime ihe B bụ mkpokọta vektọ nke ike F _BA nke e tinyere n'ime ihe B site na ihe A na ike F _BC nke e tinyere n'ime ihe B site na ihe C.

Ike F _BA nke ejiri ihe B mee ihe site na ihe A:

 

Ụzọ nke ike electrostatic na-egosi ihe dị n'ime A (na-atụ aka n'aka ekpe).

Ike F _BC nke ejiri ihe dị n'ime ya mee ihe n'elu ihe dị n'ime B site na ihe dị n'ime ya A:

 

Ụzọ nke ike electrostatic na-egosi ihe dị n'ime mkpụrụ C (na-atụ aka n'aka nri).

Ike electrostatic dị n'ime ihe dị n'ime B :

F _B = F _AB – F _BC = 675 N – 125 N = 550 Newtons.

Ụzọ nke ike electrostatic net na ihe B na-egosi ihe C (na-atụ aka n'aka nri).

[irp]

4. +Q ₁ = 10 μC, +Q ₂ = 50 μC na Q ₃ kewapụrụ dịka egosiri na eserese dị n'okpuru. Kedu ihe bụ ụgwọ electrostatic na ihe 3 ma ọ bụrụ na ike electrostatic net na ihe 2 bụ efu.

A maara:

Chajị 1 (q ₁ ) = +10 μC = +10 x 10 ^-6 C

Chajị 2 (q ₂ ) = +50 μC = +50 x 10 ^-6 C

Anya dị n'etiti chaja 1 na 2 (r ₁₂ ) = 2 cm = 0.02 m = 2 x 10 ^-2 m

Anya dị n'etiti chajị 2 na chajị 3 (r ₂₃ ) = 6 cm = 0.06 m = 6 x 10 ^-2 m

Ike electrostatic dị n'ime ihe dị na 2 (F2 ₎ = 0

Achọtara : chajị 3 (q ₃ )

Ngwọta:

Ike _dị n'ime _ihe ...​​

Ike F ₂₁ nke ejiri ihe dị n'ime ya mee ihe site na ihe dị n'ime ya 1:

Ụzọ nke ike electrostatic na-egosi ihe dị na 3 (na-atụ aka n'aka nri).

Ike F₂₃ ejiri ihe dị n'ime ya mee ihe na ihe dị n'ime ya nke abụọ site na ihe dị n'ime ya nke 3: 

Ụzọ nke ike electrostatic na-atụ aka na ihe dị n'ime otu (na-atụ aka n'aka ekpe).

Ike electrostatic dị n'ime ihe dị na ya bụ 2 = 0:

GỤKWUO

1. Ihe nwere oge inertia nke kilogram 2 m ² na-agbagharị na 1 rad/s. Kedu ihe bụ angular moment nke ihe ahụ?

A maara:

Oge nke inertia (I) = 2 kg m ²

Ọsọ akụkụ ( ω ) = 1 rad/s

Achọtara: Ike ntụgharị (L)

Ngwọta:

Usoro nke angular momentum:

L = M ω

L = ọsọ angular (kg m ² / s), I = oge inertia (kg m ² ), ω = ọsọ angular (rad/s)

Ike nke akụkụ:

L = I ω = (2)(1) = 2 kg m ² / s

[irp]

2. Pulley silinda nke dị kilogram 2 nke nwere radius nke mita 0.1 na-agbagharị na ọsọ nkuku na-agbanwe agbanwe nke 2 rad/s. Kedu ihe bụ ọsọ nkuku nke pulley ahụ?

A maara:

Ibu nke pulley (m) = 2 kg g

Radius nke pulley (r) = 0.1 m

Ọsọ akụkụ (ω) = 2 r mgbasa ozi/s

Achọsiri ike: Momentum akụkụ

Ngwọta:

Usoro nke inertia maka silinda siri ike:

I = 1/2 mr ²

I = oge nke inertia (kg m ² ), m = oke (kg), r = radius (m)

Oge nke inertia:

I = 1/2 (2)(0.1) ² = (1)(0.01) = 0.01 kg m ²

Ọsọ akụkụ:

L = I ω = ( 0.01 )( 2 ) = 0.02 kg m ² / s

[irp]

3. Ọgba okirikiri nke dị kilogram abụọ n'otu nha, nke nwere radius nke mita 0.2 , na-agbagharị na 4 rad/s. Kedu ka ọsọ nke bọọlụ ahụ si dị?

A maara:

Ibu nke bọọlụ (m) = 2 kg

Radius nke bọọlụ (r) = 0.2 m

Ọsọ akụkụ (ω) = 4 ra d/s

Achọsiri ike: Momentum akụkụ

Ngwọta:

Usoro nke oge nke inertia maka okirikiri otu:

I = (2/5) mr ²

I = oge t nke inertia (kg m ² ), m = oke (kg), r = radius (m)

Oge nke inertia maka okirikiri otu:

I = (2/5)(2)(0.2) ² = (4/5)(0.04) = 0.032 kg m ²

Momentụ nke okirikiri:

L = I ω = ( 0.032 )( 4 ) = 0.128 kg m ² / s

[irp]

4. Ihe dị kilogram 1 na-agbagharị n'ọsọ nkuku na-agbanwe agbanwe nke 2 rad/s. Kedu ọsọ nkuku ma ọ bụrụ na radius nke okirikiri ahụ bụ 10 cm?

A maara:

Ibu nke ihe (m) = 1 kg g

Oke okirikiri (r) = 10 cm = 10/100 = 0.1 m

Ọsọ akụkụ (ω) = 2 rad/ s

Achọsiri ike: Momentum akụkụ

Ngwọta:

Usoro nke oge nke inertia maka ihe ndị ahụ:

I = mr ² = (1)(0.1) ² = (1)(0.01) = 0.01 kg m ²

Ike nkuku:

L = I ω = (0.01)(2) = 0.02 kg m ² / s

GỤKWUO

1. Ihe nwere oge nke inertia nke 1 kg m ² na-agbagharị na ọsọ nkuku mgbe niile nke 2 rad/s. Kedu ike kinetic nke ihe ahụ?

A maara:

Oge nke inertia (I) = 1 kg m ²

Ọsọ akụkụ ( ω) = 2 rad/s

Achọrọ: Ike kinetic ntụgharị (K E )

Ngwọta:

Usoro nke ike kinetic rotation:

KE = 1/2 I ω ²

KE = ike kinetic ntụgharị (kg m²/s²), m = oge nke inertia (kg m²), ω = ọsọ angular (rad/s)

Ike kinetic nke ntụgharị:

KE = 1/2 I ω ² = 1/2 (1) (2) ² = 1/2 (1) (4) = 2 Joules

[irp]

2. Pulley silinda dị kilogram 20 nke nwere radius nke mita 0.2 na-agbagharị na ọsọ nkuku na-agbanwe agbanwe nke 4 rad/s. Kedu ike kinetic nke pulley ahụ?

A maara:

Ibu nke silinda pulley (m) = 20 kg g

Oke nke silinda (r) = 0.2 m

Ọsọ akụkụ (ω) = 4 ra d/s

Achọrọ: Gịnị bụ ike kinetic rotational

Ngwọta;

Usoro nke oge nke inertia nke cylinder:

I = 1/2 mr ²

I = oge nke inertia ( kg m ² ), m = oke (kg), r = radius (mita)

Oge nke inertia nke cylinder pulley:

I = 1/2 (20)(0.2) ² = (10)(0.04) = 0.4 kg m ²

Ike kinetic nke polley:

KE = 1/2 I ω ² = 1/2 (0.4) (4) ² = (0.2) (16) = 3.2 Joules

[irp]

3. A- bọọlụ kilogram 10 nwere radius nke mita 0.1 na-agbagharị na mgbanwe nke 10 rad/s. Kedu ike kinetic nke bọọlụ ahụ?

A maara:

Ibu bọọlụ (m) = 10 kg

Radius nke bọọlụ (r) = 0.1 m

Ọsọ akụkụ (ω) = 10 r mgbasa ozi/s

Achọrọ: Ike mmegharị ahụ

Ngwọta:

Usoro nke oge nke inertia:

I = (2/5) mr ²

I = oge nke inertia (kg m ² ), m = oke (kg), r = radius (m)

Oge nke inertia nke bọọlụ ahụ:

I = (2/5)(10)(0.1) ² = (4)(0.01) = 0.04 kg m ²

Ike mmegharị nke bọọlụ ahụ:

K E = 1/2 I ω ² = 1/2 (0.04) (10) ² = (0.02) (100) = 2 Joules

[irp]

4. Mkpụrụ ndụ 0.5- kg na-agbagharị na ọsọ nkuku mgbe niile nke 2 rad/s. Kedu ike kinetic nke mkpụrụ ndụ ahụ ma ọ bụrụ na radius nke okirikiri ahụ bụ 10 cm?

A maara:

Ibu nke ihe dị n'ime ya (m) = 0.5 kg g

Oke nke bọọlụ (r) = 10 cm = 10/100 = 0.1 m

Ọsọ akụkụ (ω) = 2 rad/ s

Achọrọ: Ike mmegharị ahụ

Ngwọta:

Oge nke inertia maka ihe ndị dị n'ime ahụ:

I = mr ² = (0.5)(0.1) ² = (0.5)(0.01) = 0.005 kg m ²

Ike kinetic nke ntụgharị:

K E = 1/2 I ω ² = 1/2 (0.005) (2) ² = 1/2 (0.005) (4) = (0.005) (2) = 0.01 Joule

GỤKWUO

1. A na-etinye ike F n'ime eriri e ji kechie ihe mkpuchi silinda. Toksi ahụ bụ 2 N m, oge inertia bụ 1 kg m ² , kedu ka silinda si na-agba ọsọ n'akụkụ .

A maara:

Torque ( τ ) = 2 N m

Oge nke inertia (I) = 1 kg m ²

Achọtara: Ọsọ ọsọ nke silinda ahụ

Ngwọta:

Στ = M α

Στ = net torque, I = oge inertia, α = osooso angular

Osooso akụkụ nke silinda:

α = Στ / I = 2/1 = 2 rad/s ²

[irp]

2. A na-etinye ike F n'ime eriri e ji kechie ihe mkpuchi silinda. Oke ike ahụ bụ 10 N, radius nke silinda ahụ bụ 0.2 m na oge inertia bụ 1 kg m 2, Gịnị bụ ọsọ nkuku nke silinda ahụ?

A maara:

Ike (F) = 10 N

Radius nke silinda (R) = 0.2 m

Oge nke inertia (I) = 1 kg m ²

Achọtara: Ọsọ ọsọ nke silinda ahụ.

Ngwọta:

τ = FR

τ = ike, F = ike, R = radius nke silinda

Torque:

τ = FR = (1 0 N) (0.2 m) = 2 N m

Στ = M α

Στ = net torque, I = oge inertia, α = osooso angular

Osooso akụkụ nke silinda:

α = Στ / I = 2/1 = 2 rad/s ²

[irp]

3. A na-etinye ike F n'ime eriri e ji kechie ihe mkpuchi silinda. Oke ike ahụ bụ 10 N, radius nke silinda bụ 0.2 m na oke nke silinda bụ 20 kg m ^2,. Gịnị bụ ọsọ nke silinda ahụ n'akụkụ.

A maara:

Ike (F) = 10 N

Radius nke silinda (R) = 0.2 m

Ibu nke silinda (M) = 20 kg

Achọrọ: Osote akụkụ nke silinda

Ngwọta:

τ = FR = (1 0 N) (0.2 m) = 2 N m

Oge nke inertia:

I = 1⁄2 MR ² = 1⁄2 (20)(0.2) ² = 1⁄2 (20)(0.04) = 0.4 kg m ²

Osooso akụkụ nke silinda:

α = Στ / I = 2 / 0.4 = 5 rad/s ²

[irp]

4. Blọk 1-kg nke kwụgidere n'elu eriri e ji kechie ihe mkpuchi silinda. Oge inertia nke ihe mkpuchi ahụ bụ 1 kg m ² na radius nke ihe mkpuchi ahụ bụ 0.2 m. Gịnị bụ ọsọ nkuku nke ihe mkpuchi ahụ. Ọsọ ọsọ nke ike ndọda bụ 10 m / s ².

A maara:

Oge nke inertia nke pulley (I) = 1 kg m ²

Ibu nke blọk (m) = 1 kg

Ọsọ ọsọ nke ike ndọda (g) = 10 m/s ²

Ibu (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 N

Radius nke pulley (R) = 0.2 m

Achọrọ: Ọsọ ọsọ akụkụ

Ngwọta:

Torque:

τ = FR = w R = (1 0 N) (0.2 m) = 2 N m

Oge nke inertia:

I = 1 kg m ²

Ọsọ ọsọ n'akụkụ:

α = Στ / I = 2/1 = 2 rad/s ²

[irp]

5. Blọk 1-kg nke e ji eriri kechie gburugburu pulley silinda. Ibu nke pulley ahụ bụ kilogram 20 na radius nke pulley ahụ bụ 0,2 m. Gịnị bụ ọsọ ọsọ nke pulley ahụ na ọsọ ọsọ ọdịda nke blọk ahụ. Ọsọ ọsọ nke ike ndọda bụ 10 m/s ².

A maara:

Ibu nke pulley (M) = 20 kg

Radius nke pulley (R) = 0,2 m

Ibu nke blọk (m) = 1 kg

Ọsọ ọsọ nke ike ndọda (g) = 10 m/s ²

Ibu (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 N

Achọsiri ike: osooso akụkụ nke pulley na osooso ọdịda n'efu nke blọk ahụ.

Ngwọta:

Ike ike:

τ = FR = w R = (1 0 N) (0.2 m) = 2 N m

Oge nke inertia nke cylinder pulley:

I = 1⁄2 MR ² = 1⁄2 (20)(0.2) ² = (10)(0.04) = 0.4 kg m ²

Ọsọ ọsọ nke pulley:

α = Στ / I = 2 / 0.4 = 5 rad/s ²

Ọsọ ọdịda n'efu nke ngọngọ ahụ:

a = R α = (0.2)(5) = 1 m/s ²

GỤKWUO

Oge nke inertia nke ihe ahụ

1. Bọọlụ gram 100 ejikọtara na otu nsọtụ eriri nke ogologo ya bụ 30 cm. Gịnị bụ oge inertia nke bọọlụ gbasara axis nke ntụgharị AB? Gụọ oke eriri ahụ.

A maara:

Axis nke ntụgharị na AB

Bọọlụ ibu (m) = gram 100 = 100/1000 = 0.1 kg

Anya dị n'etiti bọọlụ na axis nke ntụgharị (r) = 30 cm = 0.3 m

Achọrọ: Oge nke inertia nke bọọlụ (I)

Ngwọta:

I = mr ² = (0.1 kg)(0.3 m) ²

I = (0.1 kg)(0.09 m ² )

I = 0.009 kg m ²

[irp]

2. Bọọlụ gram 100, m ₁ , na bọọlụ gram 200, m ₂ , ejiri mkpanaka ogologo ya dị sentimita 60 jikọọ. A naghị eleghara oke nke mkpanaka ahụ anya. Axis nke ntụgharị dị n'etiti mkpanaka ahụ. Gịnị bụ oge inertia nke bọọlụ ahụ gbasara axis nke ntụgharị ahụ?

A maara:

Ibu bọọlụ 1 (m ₁ ) = gram 100 = 100/1000 = 0.1 kg

Ogologo bọọlụ 1 na axis nke ntụgharị (r ₁ ) = 30 cm = 30/100 = 0.3 m

Ibu bọọlụ (m2 ₎ = gram 200 = 200/1000 = 0.2 kg

Ogologo bọọlụ nke abụọ na axis nke ntụgharị (r2 ₎ = 30 cm = 30/100 = 0.3 m

Achọrọ: oge ​​nke inertia nke bọọlụ

Azịza:

I = m ₁ r ₁ ² + m ₂ r ₂ ²

I = (0.1 kg)( 0.3 m) ² + (0.2 kg)( 0.3 m) ²

I = (0.1 kg)( 0.09 m ² ) + (0.2 kg)( 0.09 m ² )

I = 0.009 kg m ² + 0.018 kg m ²

I = 0.027 kg m ²

[irp]

3. Bọọlụ gram 200, m ₁ na bọọlụ gram 100, m _2, ejiri mkpanaka ogologo ya dị cm 60 jikọọ. Lelee oke mkpanaka ahụ. Axis nke ntụgharị dị na bọọlụ m _2. Gịnị bụ oge nke inertia nke bọọlụ ahụ. Lelee oke mkpanaka ahụ.

A maara:

Ibu bọọlụ 1 (m ₁ ) = gram 200 = 200/1000 = 0.2 kg

Anya dị n'etiti bọọlụ 1 na axis nke ntụgharị (r ₁ ) = 60 cm = 60/100 = 0.6 m

Ibu bọọlụ 2 (m2 ₎ = gram 100 = 100/1000 = 0.1 kg

Anya dị n'etiti bọọlụ nke abụọ na axis nke ntụgharị (r2 ₎ = 0 m

Achọsiri ike: Oge nke enweghị ike nke bọọlụ ahụ

Ngwọta:

I = m ₁ r ₁ ² + m ₂ r ₂ ²

I = (0.2 kg)( 0,6 m) ² + (0.2 kg)(0 ) ²

I = (0.2 kg)( 0.36 m ² ) + 0

I = 0.072 kg m ²

[irp]

4. Ibu nke bọọlụ ọ bụla bụ gram 100, e ji eriri jikọọ ya. Ogologo eriri ahụ bụ 60 cm, obosara eriri ahụ bụkwa 30 cm. Gịnị bụ oge inertia nke bọọlụ ahụ gbasara axis nke ntụgharị. Kwụsị ibu nke eriri ahụ.

A maara:

Ibu bọọlụ = m ₁ = m ₂ = m ₃ = m ₄ = 1 00 grams = 100/1000 = 0.1 kg

Anya dị n'etiti bọọlụ na axis nke ntụgharị (r ₁ ) = 30 cm = 30/100 = 0.3 m

Anya dị n'etiti bọọlụ 2 na axis nke ntụgharị (r ₂ ) = 30 cm = 30/100 = 0.3 m

Anya dị n'etiti bọọlụ 3 na axis nke ntụgharị (r ₃ ) = 30 cm = 30/100 = 0.3 m

Anya dị n'etiti bọọlụ 4 na axis nke ntụgharị (r ₄ ) = 30 cm = 30/100 = 0.3 m

A maara: Oge nke inertia

Ngwọta:

M = m₁ r₁² +m₂ r₂² +m₃ r₃² +m₄ r₄²

I = (0.1 kg)( 0.3 m) ² + (0.1 kg)( 0.3 m) ² + (0.1 kg)(0.3 m) ² + (0.1 kg)(0.3 m) ²

I = (0.1 kg)( 0.09 m2 ⁾ + (0.1 kg)(0.09 m2 ⁾ + (0.1 kg)(0.09 m2 ⁾ + (0.1 kg)(0.09 ^m2 )

I = 0.036 kg m ²

[irp]

Oge nke inertia nke ihe siri ike

5. Gịnị bụ oge nke inertia nke mkpanaka otu ogologo nke dị kilogram abụọ ma dị mita abụọ. Axis nke ntụgharị dị n'etiti mkpanaka ahụ.

A maara:

Ibu mkpara (M) = 2 kg

Ogologo mkpanaka ahụ (L) = 2 m

Achọsiri ike: Oge nke inertia

Ngwọta:

Usoro nke oge nke inertia mgbe axis nke ntụgharị dị n'etiti mkpanaka ogologo ahụ:

I = (1/12) ML ²

I = (1/12) (2 kg)( 2 m) ²

I = (1/12) (2 kg)(4 m ² )

I = (1/12)(8 kg m ² )

I = 8/12 kg m ²

I = 2/3 kg m ²

[irp]

6. Kedu oge nke nkụchi aka dị kilogram abụọ n'ogologo nke nwere mita abụọ n'ogologo? Axis nke ntụgharị dị n'otu nsọtụ nke mkpanaka ahụ.

A maara:

Ibu mkpara (M) = 2 kg

Ogologo mkpanaka siri ike (L) = 2 m

Achọsiri ike: Oge nke inertia

Ngwọta:

Usoro maka oge nke inertia mgbe axis nke ntụgharị dị n'otu njedebe nke mkpanaka ahụ:

I = (1/3) ML ²

I = (1/3) (2 kg)( 2 m) ²

I = (1/3) (2 kg)(4 m ² )

I = (1/3)(8 kg m ² )

I = 8/3 kg m ²

[irp]

7. Silinda siri ike nke dị kilogram iri ma nwee radius nke mita 0.1. Axis nke ntụgharị dị n'etiti silinda siri ike, nke egosiri na eserese dị n'okpuru. Kedu oge inertia nke silinda ahụ?

A maara:

Ibu nke silinda siri ike (M) = 10 kg

Radius nke silinda (L) = 0.1 m

Achọsiri ike: Oge nke inertia

Achọsiri ike: Oge nke inertia

Ngwọta:

Usoro nke oge nke inertia mgbe axis nke ntụgharị dị n'etiti silinda:

I = (1/2) MR ²

I = (1/2) (10 kg)(0.1 m) ²

I = (1/2) (10 kg)(0.01 m ² )

I = (1/2)(0.1 kg m ² )

I = 0.05 kg m ²

8. Ogwe okirikiri dị kilogram iri abụọ nke ogologo ya bụ mita 0.1. A na-egosi okirikiri ntụgharị dị n'etiti okirikiri ahụ na eserese dị n'okpuru.

A maara:

Ibu nke okirikiri (M) = 20 kg

Oke okirikiri (L) = 0.1 m

Achọrọ: oge ​​nke inertia

Ngwọta:

Usoro nke oge nke inertia mgbe axis nke ntụgharị dị n'etiti okirikiri ahụ:

I = (2/5) MR ²

I = (2/5)(20 kg)(0.1 m) ²

I = (2/5)(20 kg)(0.01 m ² )

I = (2/5)(0.2 kg m ² )

I = 0.4/5 kg m ²

I = 0.08 kg m ²

[irp]

9. Efere dị gịrịgịrị nke dị kilogram abụọ n'ogologo ya bụ mita 0.5, obosara ya dịkwa mita 0.2. Axis nke ntụgharị ahụ dị n'etiti efere akụkụ anọ ahụ egosiri na eserese dị n'okpuru. Gịnị bụ oge inertia nke akụkụ anọ ahụ?

A maara:

Ibu efere akụkụ anọ (M) = 2 kg

Ogologo efere (a) = 0.5 m

Obosara nke efere ahụ (b) = 0.2 m

Achọsiri ike: Oge nke Inertia

Ngwọta:

Usoro nke oge nke inertia mgbe axis nke ntụgharị dị n'etiti efere ahụ:

I = (1/ 12 ) M (a ² + b ² )

I = (1/12)(2)(0.5 ² + 0.2 ² )

I = (2/12)(0.25 + 0.04)

I = (1/6)(0.29)

I = 0.29/6 kg m ²

GỤKWUO