Mmegharị nke ahụ abụọ nwere otu ọsọ ọsọ n'elu elu kwụ ọtọ siri ike yana ike esemokwu - nsogbu na ngwọta

1. Ibu nke igbe 1 bụ kilogram 2, ibu nke igbe 2 bụ kilogram 4, ọsọ nke ike ndọda bụ 10 m/s 2 , oke nke ike F bụ Newton 40. Oke nke esemokwu kinetic n'etiti igbe 1 na ala bụ 0.2 na oke nke esemokwu kinetic n'etiti igbe 2 na ala bụ 0.3. Chọta (a) Oke na ntụziaka nke ọsọ nke igbe ahụ (b) Oke nke ike nke igbe 1 na igbe 2 (F 12 ) na oke nke ike nke igbe 2 na-enye na igbe 1 (F 21 ).

Mmegharị nke ahụ abụọ nwere otu ọsọ ọsọ n'elu elu kwụ ọtọ siri ike yana ike esemokwu - nsogbu na ngwọta 1

ngwọta

Mmegharị nke ahụ abụọ nwere otu ọsọ ọsọ n'elu elu kwụ ọtọ siri ike yana ike esemokwu - nsogbu na ngwọta 2

A maara:

Ibu nke igbe ahụ 1 (m1 ) = 2 kg

Ibu nke igbe ahụ 2 (m2 ) = 4 kg

Ọsọ nke ike ndọda (g) = 10 m/s 2 ,

Ike F = 40 Newton,

Ọnụọgụ nke esemokwu kinetic n'etiti igbe 1 na ala ( μ k1 ) = 0.2

Ọnụọgụ nke esemokwu kinetic n'etiti igbe 2 na ala ( μ k2 ) = 0.3

Ibu nke igbe 1 (w 1 ) = m 1 g = (2)(10) = Newtons 20

Ibu nke igbe 2 (w 2 ) = m 2 g = (4)(10) = 40 Newtons

Ike nkịtị e tinyere n'igbe 1 (N 1 ) = w 1 = Newtons 20

Ike nkịtị e tinyere n'igbe 2 (N2 ) = w 2 = Newtons 40

Ike nke esemokwu kinetic nke e tinyere na igbe 1 (f k1 ) = ( μ k1 )(N 1 ) = (0.2)(20) = Newtons 4

Ike nke esemokwu kinetic nke e tinyere na igbe 2 (f k2 ) = ( μ k1 )(N 2 ) = (0.3)(40) = Newtons 12

Ngwọta:

(a) Oke na ụzọ nke osooso igbe ahụ

ΣF = ma

F – f k1 – f k2 = (m 1 + m 2 ) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s 2

Ntuziaka nke osooso = ntụziaka nke ike ụgbụ = gaa n'aka nri.

(b) Oke ike nke igbe 1 na igbe 2 (F 12 ) na oke ike nke igbe 2 na igbe 1 (F 21 ) na-enye.

Gbakọọ nha nke F 12 :

ΣF = ma

F 12 – f k2 = (m 2 ) a

F 12 – 12 = (4)(4)

F 12 – 12 = 16

F 12 = 16 + 12

F12 = Newton 28

F 12 na F 21 bụ ike ime ihe na mmeghachi omume nke na-arụ ọrụ n'elu ihe dị iche iche. F 12 na F 21 nwere otu nha na ụzọ dị iche.

F 12 = 28 Newtons = F 21 = 28 Newtons.

[irp]

2. Ibu nke igbe 1 bụ kilogram 2, ibu nke igbe 2 bụ kilogram 4, ọsọ ike ndọda bụ 10 m/s 2 , ike F bụ 40 N. Oke nke esemokwu kinetic n'etiti igbe 1 na ala bụ 0.2 na oke nke esemokwu kinetic n'etiti igbe 2 na ala bụ 0.3. Chọpụta (a) Oke na ntụziaka nke ọsọ (b) Nsogbu dị na eriri na-ejikọ igbe ndị ahụ. Kwụsị oke nke eriri.

Mmegharị nke ahụ abụọ nwere otu ọsọ ọsọ n'elu elu kwụ ọtọ siri ike yana ike esemokwu - nsogbu na ngwọta 3

A maara:

Ibu nke igbe ahụ 1 (m1 ) = 2 kg

Ibu nke igbe ahụ 2 (m2 ) = 4 kg

Ọsọ nke ike ndọda (g) = 10 m/s 2 ,

Ike F = 40 Newton,

Ọnụọgụ nke esemokwu kinetic n'etiti igbe 1 na ala bụ 0.2 ( μ k1 ) = 0.2

Ọnụọgụ nke esemokwu kinetic n'etiti igbe 2 na ala bụ 0.2 ( μ k2 ) = 0.3

Ibu nke igbe 1 (w 1 ) = m 1 g = (2)(10) = 20 Newtons

Ibu nke igbe 2 (w 2 ) = m 2 g = (4)(10) = 40 Newtons

Ike nkịtị e tinyere n'igbe 1 (N1 ) = w 1 = Newtons 20

Ike nkịtị e tinyere n'igbe 2 (N2 ) = w 2 = Newtons 40

Ike nke esemokwu kinetic nke e tinyere na igbe 1 (f k1 ) = ( μ k1 )(N 1 ) = (0.2)(20) = Newtons 4

Ike nke esemokwu kinetic nke e tinyere na igbe 2 (f k2 ) = ( μ k1 )(N 2 ) = (0.3)(40) = Newtons 12

Ngwọta:

(a) nha na ntụziaka nke osooso ahụ

ΣF = ma

F – f k1 – f k2 = (m 1 + m 2 ) a

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s 2

Oke nke osooso bụ 4 m/s 2 , ntụziaka nke osooso = ntụziaka nke ike ụgbụ = gaa n'aka nri.

(b) Nrụgide n'ime eriri ahụ

Ike ndị na-arụ ọrụ na igbe 1 n'akụkụ kwụ ọtọ bụ nrụgide 1 (T 1 ) n'aka nri na ike nke esemokwu kinetic 1 (f k1 ) n'aka ekpe. Tinye iwu nke abụọ nke Newton:

ΣF = ma

T 1 – f k1 = m 1 a

T 1 – 4 = (2)(4)

T 1 – 4 = 8

T 1 = 8 + 4 = 12 Newton

Ike ndị na-arụ ọrụ na igbe 2 n'akụkụ kwụ ọtọ bụ nrụgide 2 (T 2 ) n'aka ekpe na ike nke esemokwu kinetic 2 (f k2 ) n'aka nri. Tinye iwu nke abụọ nke Newton :

ΣF = ma

F – T 2 – f k2 = m 2 a

40 – T 2 – 12 = (4)(4)

28 – T 2 = 16

T 2 = 28 – 16 = 12 Newton

Nsogbu dị n'ime eriri ahụ nke jikọtara igbe ndị ahụ = T 1 = T 2 = T = Newton 12.

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