Physics

1. Shayga mass = 2 kg, dardargelinta cuf-isjiidadka awgeed = 9.8m/s², isku-darka isku dhaca aan joogtada ahayn = 0.2, isku-dhafka is-jiidjiidka = 0.1. Shayga ma nasanayaa mise waa la dedejinayaa? Haddii shayga la dedejinayo, hel (a) xoogga saafiga ah (b) baaxadda iyo jihada sanduuqa dardargelinta!

Solution

La yaqaan:

Cufnaanta (m) = 2 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s²

Isku-darka is-jiidjiid aan joogto ahayn (μ_s) = 0.2

Isku-darka is-jiidjiidka dhaqdhaqaaqa (μ_k) = 0.1

Miisaanka (w) = mg = (2)(9.8) = 19.6 Newton

Qaybta jiifa ee miisaanka (w_x) = w sin 30^o = (19.6)(0.5) = 9.8 Newton

Qaybta toosan ee miisaanka th (w)_y) = w cos 30^o = (19.6)(0.5√3) = 9.8√3 Newtons

Xoogga caadiga ah (N) = w_y = 9.8√3 Newton

Xoogga is-jiidjiidka aan joogtada ahayn (f)_s) = (0.2)(9.8√3) = 1.96√3 Newtons = 3.39 Newtons

Xoogga is-jiidjiidka (f)_k) = (0.1)(9.8√3) = 0.98√3 Newtons = 1.69 Newtons

Xalka:

Shaygu wuu nasanayaa haddii w_x < f_s, shaygu hoos ayuu u socdaa haddii w_x > f_s.

w_x = 9.8 Newton iyo f_s = 3.39 Newtons.

(a) xoogga saafiga ah

ΣF = w_x - f_k = 9.8 – 1.69 = 8.11 Newton

(b) baaxadda iyo jihada dardargelinta

ΣF = ma

8.11 = (2) a

a = 4.05

Baaxadda xawaaraha = 4.05 m/s² iyo jihada dardargelinta = hoos.

2. Cufka walaxda = 4 kg, dardargelinta cufisjiidadka awgeed = 9,8 m/s². Isku-darka is-jiidjiidka = 0.2 iyo isku-darka is-jiidjiidka taagan = 0.4. Cabbirka xoogga F = 40 Newtons. Shaygu wuu nasanayaa mise hoos buu u simbirixanayaa? Haddii shaygu hoos u simbirixanayo, hel (a) xoogga saafiga ah (b) baaxadda iyo jihada dardargelinta!

Solution

La yaqaan:

Cufnaanta (m) = 4 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s²

Isku-dhafka is-jiidjiidka aan joogtada ahayn (μ_s) = 0.4

Tirada isku-dhafka dhaqdhaqaaqa (μ_k) = 0.2

Miisaanka (w) = mg = (4)(9.8) = 39.2 Newtons

Qaybta jiifa ee miisaanka (w)_x) = w sin 30^o = (39.2)(0.5) = 19.6 Newton

Qaybta toosan ee miisaanka (w)_y) = w cos 30^o = (392)(0..5√3) = 19.6√3 Newtons

Xoogga caadiga ah (N) = w_y = 19.6√3 Newtons = 33.95 Newtons

xoogga is-jiidjiidka ee aan joogtada ahayn (f)_s) = μ_s N= (0,4)(33.95) = 13.58 Newtons

Xoogga is-jiidjiidka (f)_k) = μ_k N= (0.2)(33.95) = 6.79 Newtons

F = 40 Newton

Xalka:

Shayga ayaa hoos u dhacaya haddii F < w_x +f_sShayga ayaa kor u boodaya haddii F > w_x +f_s.

F = 40 Newton, w_x = 19.6 Newton iyo f_s = 13.58 Newtons.

F waa ka weyn yahay w_x +f_s sidaas darteed shaygu kor ayuu u simbiriirixanayaa.

(a) Xoogga saafiga ah

ΣF = F – w_x - f_k = 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Baaxadda iyo jihada dardargelinta

ΣF = ma

6.4 = (4) a

a = 1.6

Baaxadda xawaaraha waa 1.6 m/s² jihada dardargelintuna waa kor.

[wpdm_package id='481′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaqa dusha sare ee jiifka ah iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan ee qallafsan oo leh xoogga is-jiidjiidka
7. Dhaqdhaqaaqa diyaaradda u janjeerta iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaqa diyaaradda qallafsan ee u janjeerta oo leh xoogga is jiidjiidka
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka waxaa isku xira fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah

Akhri wax dheeraad ah

1. Sanduuqyada mass = 2 kg, dardargelinta cuf-isjiidadka awgeed = 9.8m/s²Soo hel (a) xoogga saafiga ah ee dedejiya sanduuqa hoos u dhigaya (b) baaxadda sanduuqa dardargelinta.

Solution

La yaqaan:

Cufnaanta (m) = 2 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s²

Miisaanka (w) = mg = (2)(9.8) = 19.6 Newtons

w_x = w sin 30 = (19.6)(0.5) = 9.8 Newtons

w_y = w cos 30 = (19.6)(0.5√3) = 9.8√3 Newtons

Xalka:

(A) The shabaqa loogu talagalayce kaas oo dedejiya sanduuqa

Diyaaradda leexatay waa siman tahay, sidaa darteed ma jirto xoog is jiidjiid ah. Xoogga kaliya ee ku shaqeeya shayga waa w_x.

ΣF = w_x

ΣF = 9.8 Newton

(B) baaxadda dardargelinta

ΣF = ma

9.8 = (2) a

a = 9.8/2

a = 4.9 m/s²

Baaxadda xawaaraha waa 4.9 m/s², jihada dardargelinta ayaa hoos u socota.

2. Diyaarad qaloocan waa siman yahay sidaa darteed ma jiro xoogga is jiidkaCufka walaxdu waa 3 kg, dardargelinta cufisjiidadka awgeed waa 9.8 m/s². Go'aami baaxadda xoogga F haddii (a) shaygu nasto (b) shaygu hoos ugu socdo xawaare joogto ah 2 m/s² (c) shaygu wuxuu kor u socdaa isagoo wata xawaare joogto ah oo ah 2 m/s².

Solution

La yaqaan:

Cufnaanta (m) = 3 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s²

Miisaanka (w) = mg = (3)(9.8) = 29.4 Newtons

w_x = w sin 30 = (29.4)(0.5) = 14.7 Newtons

w_y = w cos 30 = (29.4)(0.5√3) = 14.7√3 Newtons

Xalka:

(a) Baaxadda xoogga F haddii shay uu nasto

Sharciga ugu horreeya ee Newton dhaqdhaqaaqa wuxuu sheegayaa in haddii shay uu nasto, xoogga saafiga ah ee ku shaqeeya shayga uu yahay eber.

ΣF=0

F - w_x = 0

F = w_x

F = 14.7 Newton

(b) Baaxadda xoogga F haddii shay uu hoos ugu socdo si joogto ah 2 m/s²

ΣF = ma

w_x – F = ma

14.7 – F = (3)(2)

14.7 – F = 6

F = 14.7–6

F = 8.7 Newton

(c) Baaxadda xoogga F haddii shay uu kor ugu socdo si joogto ah 2 m/s²

ΣF = ma

F - w_x = ma

F – 14.7 = (3)(2)

F – 14.7 = 6

F = 14.7 + 6

F = 20.7 Newton

[wpdm_package id='479′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaqa dusha sare ee jiifka ah iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan ee qallafsan oo leh xoogga is-jiidjiidka
7. Dhaqdhaqaaqa diyaaradda u janjeerta iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaqa diyaaradda qallafsan ee u janjeerta oo leh xoogga is jiidjiidka
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka waxaa isku xira fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah

Akhri wax dheeraad ah

1. Mass Sanduuqa 1 waa 2 kg, miisaanka sanduuqa 2 waa 4 kg, dardargelinta cufisjiidadka waa 10 m/s², baaxadda xoogga F waa 40 Newtons. Isugeynta isjiidjiidka kinetic-ga ee u dhexeeya sanduuqa 1 iyo dabaqa waa 0.2 iyo isku-dhafka isjiidjiidka kinetic-ga ee u dhexeeya sanduuqa 2 iyo dabaqa waa 0.3. Soo hel (a) Cabbirka iyo jihada sanduuqa dardargelinta (b) Baaxadda xoogga uu sameeyay sanduuqa 1 ee sanduuqa 2 (F)₁₂) iyo baaxadda xoogga uu sameeyay sanduuqa 2 ee sanduuqa 1 (F)₂₁).

Solution

La yaqaan:

Cufka sanduuqa 1 (m₁) = 2kg

Cufka sanduuqa 2 (m₂) = 4kg

Dardargelinta cufisjiidadka (g) = 10 m/s²,

Xoogga F = 40 Newton,

Isku-dhafka is jiidjiidka dhaqdhaqaaqa inta u dhaxaysa sanduuqa 1aad oo leh dabaqa (μ_k1) = 0.2

Isku-darka is-jiidjiidka ee u dhexeeya sanduuqa 2 iyo dabaqa (μ_k2) = 0.3

The miisaanka sanduuqa 1aad (w)₁) = m₁ g = (2)(10) = 20 Newton

Miisaanka sanduuqa 2 (w)₂) = m₂ g = (4)(10) = 40 Newton

The xoog caadi ah lagu sameeyay sanduuqa 1 (N)₁) = w₁ = 20 Newton

Xoogga caadiga ah ee lagu sameeyay sanduuqa 2 (N)₂) = w₂ = 40 Newton

Xoogga is-jiidjiidka ee ku dhacay sanduuqa 1 (f)_k1) = (μ_k1(N)₁) = (0.2)(20) = 4 Newton

Xoogga is-jiidjiidka ee ku dhacay sanduuqa 2 (f)_k2) = (μ_k1(N)₂) = (0.3)(40) = 12 Newton

Xalka:

(a) Cabbirka iyo jihada xawaaraha sanduuqa

ΣF = ma

F - f_k1 - f_k2 = (m₁ +m₂) iyo

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s²

Jihada dardargelinta = jihada xoogga saafiga ah = dhanka midig.

(b) Baaxadda xoogga uu sameeyay sanduuqa 1 ee sanduuqa 2 (F)₁₂) iyo baaxadda xoogga uu sameeyay sanduuqa 2 ee sanduuqa 1 (F)₂₁).

Xisaabi baaxadda F₁₂ :

ΣF = ma

F₁₂ - f_k2 = (m₂) iyo

F₁₂ – 12 = (4)(4)

F₁₂ - 12 = 16

F₁₂ = 16 + 12

F₁₂ = 28 Newton

F₁₂ iyo F₂₁ waa xoogagga ficilka iyo falgalka ee ka shaqeeya walxaha kala duwan.₁₂ iyo F₂₁ waxay leedahay isla baaxadda iyo jihada lidka ku ah.

F₁₂ = 28 Newtons = F₂₁ = 28 Newtons.

2. Cufka sanduuqa 1 waa 2 kg, cufka sanduuqa 2 waa 4 kg, dardargelinta cufisjiidadka waa 10 m/s², xoogga F waa 40 N. Isugeynta isjiidjiidka kinetic-ga ee u dhexeeya sanduuqa 1 iyo dabaqa waa 0.2 isku-dhafka isjiidjiidka kinetic-ga ee u dhexeeya sanduuqa 2 iyo dabaqa waa 0.3. Go'aami (a) Weynaanta iyo jihada dardargelinta (b) Xiisadda ku jirta xarigga isku xiraya sanduuqyada. Iska ilow cufka xarigga.

La yaqaan:

Cufka sanduuqa 1 (m₁) = 2kg

Cufka sanduuqa 2 (m₂) = 4kg

Dardargelinta cufisjiidadka (g) = 10 m/s²,

Xoogga F = 40 Newton,

Isku-darka is-jiidjiidka ee u dhexeeya sanduuqa 1 iyo dabaqa waa 0.2 (μ_k1) = 0.2

Isku-darka is-jiidjiidka ee u dhexeeya sanduuqa 2 iyo dabaqa waa 0.2 (μ_k2) = 0.3

Miisaanka sanduuqa 1 (w)₁) = m₁ g = (2)(10) = 20 Newton

Miisaanka sanduuqa 2 (w)₂) = m₂ g = (4)(10) = 40 Newton

Xoogga caadiga ah ee lagu sameeyay sanduuqa 1 (N)₁) = w₁ = 20 Newton

Xoogga caadiga ah ee lagu sameeyay sanduuqa 2 (N)₂) = w₂ = 40 Newton

Xoogga is-jiidjiidka ee ku dhacay sanduuqa 1 (f)_k1) = (μ_k1(N)₁) = (0.2)(20) = 4 Newton

Xoogga is-jiidjiidka ee ku dhacay sanduuqa 2 (f)_k2) = (μ_k1(N)₂) = (0.3)(40) = 12 Newton

Xalka:

(a) baaxadda iyo jihada dardargelinta

ΣF = ma

F - f_k1 - f_k2 = (m₁ +m₂) iyo

40 – 4 – 12 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s²

Baaxadda xawaaraha waa 4 m/s², jihada dardargelinta = jihada xoogga saafiga ah = dhanka midig.

(b) Xiisadda fiilada

Xoogagga ku shaqeeya sanduuqa 1 ee jihada toosan waa xiisadda 1 (T)₁) dhanka midig iyo xoogga isjiidjiidka dhaqdhaqaaqa 1 (f_k1) bidix. Ku dabaq sharciga labaad ee Newton:

ΣF = ma

T₁ - f_k1 = m₁ a

T₁ - 4 = (2)(4)

T₁ - 4 = 8

T₁ = 8 + 4 = 12 Newton

Xoogagga ku shaqeeya sanduuqa 2 ee jihada toosan waa xiisadda 2 (T)₂) bidix iyo xoogga isjiidjiidka dhaqdhaqaaqa 2 (f_k2) midig. Codso Sharciga labaad ee Newton :

ΣF = ma

F – T₂ - f_k2 = m₂ a

40–T₂ – 12 = (4)(4)

28–T₂ = 16

T₂ = 28 – 16 = 12 Newton

Xiisadda ku jirta xarigga oo sanduuqyada isku xiraya = T₁ =T₂ = T = 12 Newtons.

[wpdm_package id='493′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaq dusha sare ee jiifa iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan oo qallafsan oo leh xoog is jiidjiid ah
7. Dhaqdhaqaaq diyaarad u janjeera iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaq diyaarad qallafsan oo leh xoog is jiidjiid ah
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka oo ay ku xiran yihiin fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah

Akhri wax dheeraad ah

1. Cufka shayga 1 waa 2 kg, cufka shayga 2 waa 4 kg, dardargelinta cuf-isjiidadka waa 10 m/s², baaxadda xoogga F waa 12 Newtons. Go'aami baaxadda iyo jihada dardargelinta walxaha.

La yaqaan:

m₁ = 2 kg, m₂ = 4 kg, g = 10 m/s², F = 12 Newton

rabay : a

Xalka:

ΣF = ma

F = (m₁ +m₂) iyo

12 = (2 + 4) a

12 = 6 a

a = 12/6

a = 2 m/s²

Baaxadda xawaaraha waa 2 m/s², jihada dardargelinta = jihada xoogga saafiga ah = dhanka midig.

2. Mass Shayga 1 waa 2 kg, cufka shayga 2 waa 4 kg, dardargelinta cufisjiidadka waa 10 m/s², baaxadda xoogga F waa 24 N. Go'aami baaxadda iyo jihada dardargelinta.

La yaqaan:

m₁ = 2 kg, m₂ = 4 kg, g = 10 m/s², F = 24 Newton

SE buska: dardargelinta (a)

Xalka:

ΣF = ma

F = (m₁ +m₂) iyo

24 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s²

Jihada dardargelinta = jihada xoogga saafiga ah = dhanka midig.

[wpdm_package id='474′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaqa dusha sare ee jiifka ah iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan ee qallafsan oo leh xoogga is-jiidjiidka
7. Dhaqdhaqaaqa diyaaradda u janjeerta iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaqa diyaaradda qallafsan ee u janjeerta oo leh xoogga is jiidjiidka
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka waxaa isku xira fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah

Akhri wax dheeraad ah

Xalliyey dhibaatooyinka ku jira sharciyada dhaqdhaqaaqa ee Newton - Xoogga isku dhaca joogtada ah iyo kan dhaqdhaqaaqa

1. Shay wuxuu ku fadhiyaa dabaq jiif ah. Isku-darka isku-dhafka aan joogtada ahayn waa 0.4 iyo dardargelinta cuf-isjiidadka waa 9.8 m/s²Go'aami (a) Xoogga ugu badan ee is-jiidjiidka aan joogtada ahayn (b) Xoogga ugu yar ee F 

Solution

La yaqaan:

Mass (m) = 1 kg

Isku-darka isku-dhafka aan joogtada ahayn (μ)_s) = 0.4

Dardargelinta cufisjiidadka (g) = 9.8 m/s²

Miisaanka (w) = mg = (1 kg)(10 m/s²) = 10 kg m/s² = 10 Newton

xoog caadi ah (N) = w = 10 Newton

La doonayo:

(A) Xoogga ugu badan ee isku dhaca aan joogtada ahayn (b) xoogga ugu yar ee F

Xalka:

(A) Xoogga ugu badan ee isku dhaca aan joogtada ahayn

f_s = μ_s N

f_s = (0.4)(9.8 N) = 3.92 Newton

(b) xoogga ugu yar ee F

Haddii xoogga F lagu shubo shayga laakiin shayga aan la dhaqaajin, markaa waa inuu jiraa xoogga is jiid-jiidka ee uu dabaqa ku hayo shayga. Haddii shaygu bilaabo inuu dhaqaaqo, oo xoogga is jiid-jiidka ee aan la dhaafin, waa inuu jiraa xoogga is jiid-jiidka ee aan la beddelin. Shaygu wuxuu bilaabaa inuu dhaqaaqo haddii F uu ka weyn yahay xoogga ugu badan ee is jiid-jiidka aan la beddelin.

Markaa xoogga ugu yar ee F = xoogga ugu badan ee isjiidjiidka taagan = 3.92 Newtons.

2. Sanduuqa 1 kg waxaa lagu jiidaa dusha sare ee siman iyadoo la adeegsanayo xoog F, sidaas darteed sanduuqu wuxuu ku socdaa xawaare joogto ah. Haddii isku-dhafka is-jiidjiidka kinetikada uu yahay 0.1, go'aami baaxadda xoogga F! (g = 9.8 m/s²)

La yaqaan:

Tirada isku-dhafka dhaqdhaqaaqa (μ_k= 0.1

Cufka sanduuqa (m) = 1 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s²

Miisaanka (w) = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

Xoogga caadiga ah (N) = w = 9.8 Newtons

rabay : F

Xalka:

Sharciga ugu horreeya ee Newton wuxuu sheegayaa haddii aan xoog saafi ah ku dhaqmin shay, shay kastaa wuxuu ku sii socdaa xaaladdiisa nasashada, ama xawaare joogto ah oo xariiq toosan ah.

Markaa haddii shaygu uu ku dhaqaaqo xawaare joogto ah, waa in aysan jirin xoog saafi ah (ΣF = 0)Xoogga F waxaa lagu saaraa shayga jihada saxda ah si xoogga is-jiidjiidka loogu saaro shayga jihada bidix.

ΣF=0

F – f_k = 0

F = f_k

Xoogga is-jiidjiidka dhaqdhaqaaqa:

f_k = μ_k N = (0.1)(9.8 N) = 0.98 Newtons

Shaygu wuxuu ku socdaa xawaare joogto ah, F = f_k = 0.98 Newton

3. Shay ayaa hoos u simbirixanaya diyaarad janjeerta xawaare joogto ah. Go'aami isku-dhafka is-jiidjiidka (μ_k). g = 9.8 m/s²

Solution

w = miisaan, w_x = qayb jiif ah oo miisaanka ah, dhibcaha ku teedsan tiir-jaridda, w_y = qayb toosan oo miisaanka ah, oo ku toosan diyaaradda u janjeerta, N = xoog caadi ah, f_k = xoogga is-jiidjiidka dhaqdhaqaaqa.

La yaqaan:

Cufnaanta (m) = 1 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s²

miisaanka (w) = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

w_x = w sin 30^o = (9.8 N)(0.5) = 4.9 Newton

w_y = w cos 30^o = (9.8 N)(0.5)√3 = 4.9√3 Newton

Xoogga caadiga ah (N) = w_y = 4.9√3 Newton

La doonayo: isku-darka isku-dhafka dhaqdhaqaaqa (μ_k)

Xalka:

Shay ayaa hoos ugu dhacaya diyaarad janjeerta oo leh xawaare joogto ah si xoogga saafiga ah = 0.

ΣF=0

w_x - f_k = 0

w_x = f_k

w_x = μ_k N

5 = μ_k (5√3)

μ_k = 5 / 5√3

μ_k = 1 /√3

μ_k = 0.58

[wpdm_package id='472′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaq dusha sare ee jiifa iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan oo qallafsan oo leh xoog is jiidjiid ah
7. Dhaqdhaqaaq diyaarad u janjeera iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaq diyaarad qallafsan oo leh xoog is jiidjiid ah
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka oo ay ku xiran yihiin fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah

Akhri wax dheeraad ah

Xalliyey dhibaatooyinka ku jira sharciyada dhaqdhaqaaqa ee Newton - sharciga labaad ee dhaqdhaqaaqa ee Newton 

1. Shay 1 kg ah oo xawaareynaya 5 m/s oo joogto ah²Qiyaas xoogga saafiga ah ee loo baahan yahay si loo dedejiyo shayga.

La yaqaan:

Cufnaanta (m) = 1 kg

Dardar- (a) = 5 m/s²

rabay : xoog saafi ah (∑F)

Xalka:

Waxaan isticmaalnaa sharciga labaad ee Newton si aan u helno xoogga saafiga ah.

ΣF = ma

ΣF = (1 kg)(5 m/s²) = 5 kg m/s² = 5 Newton

2. Mass ee shay = 1 kg, xoogga saafiga ah ∑F = 2 Newtons. Go'aami baaxadda iyo jihada dardargelinta shayga….

La yaqaan:

Cufnaanta (m) = 1 kg

Xoogga saafiga ah (∑F) = 2 Newton

rabay : Cabbirka iyo jihada dardargelinta (a)

Xalka:

a = ∑F / m

a = 2/1

a = 2 m/s²

Jihada dardargelinta = jihada xoogga saafiga ah (∑F)

3. Cufka walaxda = 2 kg, F₁ = 5 Newtons, F₂ = 3 Newtons. Cabbirka iyo jihada dardargelinta waa…

La yaqaan:

Cufnaanta (m) = 2 kg

F₁ = 5 Newton

F₂ = 3 Newton

La doonayo: Baaxadda iyo jihada dardargelinta (a)

Xalka:

xoog saafi ah:

ΣF = F₁ - F₂ = 5 – 3 = 2 Newton

Baaxadda dardargelinta:

a = ∑F / m

a = 2/2

a = 1 m/s²

Jihada dardargelinta = jihada xoogga saafiga ah = jihada F₁

4. Cufka walaxda = 2 kg, F₁ = 10 Newtons, F₂ = 1 Newtons. Cabbirka iyo jihada dardargelinta waa…

La yaqaan:

Cufnaanta (m) = 2 kg

F₂ = 1 Newton

F₁ = 10 Newton

F_1x =F₁ cs 60^o = (10)(0.5) = 5 Newton

rabay : Cabbirka iyo jihada dardargelinta (a)

Xalka:

Xoogga saafiga ah:

ΣF = F_1x - F₂ = 5 – 1 = 4 Newton

Baaxadda dardargelinta:

a = ∑F / m

a = 4/2

a = 2 m/s²

Jihada dardargelinta = jihada xoogga saafiga ah = jihada F_1x

5. F₁ = 10 Newtons, F₂ = 1 Newton, m₁ = 1 kg, m₂ = 2 kg. Cabbirka iyo jihada dardargelinta waa…

La yaqaan:

Cufnaanta 1 (m)₁) = 1 kg

Cufnaanta 2 (m)₂) = 2 kg

F₁ = 10 Newton

F₂ = 1 Newton

rabay : Cabbirka iyo jihada dardargelinta (a)

Xalka:

Xoogga saafiga ah:

ΣF = F₁ - F₂ = 10 – 1 = 9 Newton

Baaxadda dardargelinta:

a = ∑F / (m₁ +m₂)

a = 9 / (1 + 2)

a = 9/3

a = 3 m/s²

Jihada dardargelinta = jihada xoogga saafiga ah = jihada F₁

6.

Baloog 40-kg ah oo lagu dardar galiyay xoog dhan 200 N. Dardargelinta baloogga waa 3 m/s²Go'aami baaxadda xoogga is-jiidjiidka ee uu la kulmo baloogga.

A. 15 N

B. 40 N

C. 43 N

D. 80 N

La yaqaan:

Cufnaanta (m) = 40 kg

Xoogga (F) = 200 N

Dardargelinta (a) = 3 m/s²

SE buska: Xoogga is-qabqabsiga (F_g)

Xalka:

Isle'egta Sharciga labaad ee dhaqdhaqaaqa Newton

ΣF = ma

ΣF = xoog saafi ah, m = cuf, a = dardargelin

Jihada xoogga F ee dhanka midig, jihada xoogga is jiidjiidka ee dhanka bidix (jihada xoogga is jiidjiidka ayaa ka soo horjeeda jihada dhaqdhaqaaqa shayga).

Dooro dhanka midig sida togan iyo dhanka bidix iyo dhinaca taban.

ΣF = ma

F – F_g = ma

200 – F_g = (40)(3)

200 – F_g = 120

F_g = 200 - 120

F_g = 80 Newton

Jawaabta saxda ah waa D.

7. Baloogga A oo leh cuf dhan 100 garaam oo dul saar baloogga B oo leh cuf dhan 300 garaam, ka dibna baloogga B waxaa lagu riixaa xoog dhan 5 N oo si toosan kor ugu socda. Go'aami xoog caadi ah iyadoo la adeegsanayo baloogga B ee baloogga A.

A. 1 N

B. 1.25 N

C. 2 N

D. 3 N

La yaqaan:

Xoogga (F) = 5 Newton

Cufka baloogga A (m)_A) = 100 garaam = 0.1 kg

Cufka baloogga B (m)_B) = 300 garaam = 0.3 kg

Dardargelinta cufisjiidadka (g) = 10 m/s²

Miisaanka ee baloogga A (w)_A) = (0.1 kg)(10 m/s²) = 1 kg m/s² = 1 Newton

Miisaanka baloogga B (w)_B) = (0.3 kg)(10 m/s²) = 3 kg m/s² = 3 Newton

La doonayo: Xoog caadi ah oo ay sameeyaan baloogga B si ay u joojiyaan A

Xalka:

Waxaa jira dhowr awoodood oo ka shaqeeya labada baloog, sida ku cad sawirka.

F = xoog riixid (ku dhaqan baloogga B)

w_A = miisaanka baloogga A (ku dhaqan baloogga A)

w_B = miisaanka baloogga B (ku dhaqan baloogga B)

N_A = xoog caadi ah oo uu ku sameeyo baloogga B baloogga A (Ku dhaqan baloogga A)

N_A' = xoog caadi ah oo ay sameeyaan baloogga A ee baloogga B (Ku dhaqan baloogga B)

Ku dabaq sharciga labaad ee dhaqdhaqaaqa Newton labada baloog:

ΣF = ma

F - w_A - w_B + N_A - N_A' = (m_A +m_B) iyo

N_A iyo N_A' waa xoogagga ficil-falcelinta oo leh isla baaxadda laakiin ka soo horjeeda jihada sidaas darteed laga saaray isla'egta.

F - w_A - w_B = (m_A +m_B) iyo

5 – 1 – 3 = (0.1 + 0.3) a

5 – 4 = (0.4) a

1 = (0.4) a

a = 1/0.4

a = 2.5 m/s²

Ku dabaq sharciga labaad ee mooshinka Newton baloogga A:

ΣF = ma

N_A - w_A = m_A a

N_A – 1 = (0.1)(2.5)

N_A - 1 = 0.25

N_A = 1 + 0.25

N_A = 1.25 Newton

Jawaabta saxda ah waa B.

8. Shay miisaankiisu yahay 4 N oo ay taageerayaan xadhig iyo jiid. Xoogga 2 N wuxuu ku shaqeeyaa baloogga iyo dhammaadka xadhigga oo ay jiidaan xoog 9 N ah. Go'aami ficillada xoogga saafiga ah ee shayga X.

A. 3 N kor

B. 4 N hoos

C. 9 N kor

D. 9 N hoos

La yaqaan:

Miisaanka X (w)_X) = 4 Newton

Xoogga jiidista (F)_x) = 2 Newton

Xoogga xiisadda (F)_T) = 9 Newton

SE buska: Xoogga saafiga ah wuxuu ku dhaqmaa shayga X

Xalka:

Awoodo kor u kacsan oo ku shaqeeya shayga

Xoogga xiisadda wuxuu leeyahay isla baaxadda dhammaan qaybaha xarigga. Markaa xoogga xiisaddu waa 9 N.

Awoodaha toosan ee hoos u socda ee ku shaqeeya shayga

Waxaa jira laba awoodood oo ku shaqeeya shayga X, labada awoodoodna waxay si toosan hoos ugu jiraan, qaybta jiifa ee miisaanka w_x iyo qaybta toosan ee xoogga F_x.

Falka xoogga saafiga ah ee shayga

F_T - w_X - F_x = 9 – 4 – 2 = 9 – 6 = 3

Xoogga saafiga ah ee ku shaqeeya shayga X waa 3 Newtons, oo si toosan kor ugu socda.

Jawaabta saxda ah waa A.

9. Shay marka hore ku nasta dusha siman ee siman. Xoogga 16 N wuxuu ku shaqeeyaa shayga si shaygu u dardar galo 2 m/s²Haddii isla shaygu ku nasto dusha sare ee toosan oo qallafsan sidaa darteed xoogga is-jiidjiidku uu ku dhaqmo shayga uu yahay 2 N, markaa go'aami dardargelinta shayga haddii isla xoogga 16 N uu ku dhaqmo shayga.

A. 1.75 m/s²

B. 1.50 m/s²

Q. 1.00 m/s²

D. 0.88 m/s²

La yaqaan:

Xoogga (F) = 16 Newtons = 16 kg m/s²

Dardargelinta (a) = 2 m/s²

Xoogga is-qabsiga (F)_lacag) = 2 Newton = 2 kg m/s²

La doonayo: Dardargelinta Shayga?

Xalka:

Dusha siman ee siman (aan lahayn xoog is jiidjiid ah):

ΣF = ma

F = ma

16 = (m) 2

m = 16 / 2

m = 8 kg

Cufka shayga waa 8 kiilo.

Dusha sare ee toosan oo qallafsan (waxaa jira xoog is jiidjiid ah):

ΣF = ma

F – F_lacag = ma

16 – 2 = 8 a

14 = 8 a

a = 14/8

a = 1.75 m/s²

Xawaaraha walaxda waa 1.75 m/s².

Jawaabta saxda ah waa A.

10. Tom iyo Andrew waxay shay ku riixaan dabaqa siman. Tom wuxuu shayga ku riixayaa xoog dhan 5.70 N. Haddii cufka shaygu yahay 2.00 kg oo dardargelinta shaygu ay tahay 2.00 ms.^-2, ka dibna go'aami baaxadda iyo jihada ficilka xoogga ee uu sameeyo Tom.

A. 1.70 N iyo jihadeedu waa liddi ku ah xoogga uu sameeyay Andre.w

B. 1.70 N iyo jihadeedu waxay la mid tahay xoogga uu Andrew sameeyay

C. 2.30 N iyo jihadeedu waa liddi ku ah xoogga uu Andrew sameeyay.

D. 2.30 N iyo jihadeedu waxay la mid tahay xoogga uu Andrew sameeyay.

La yaqaan:

Xoog riix ah oo uu sameeyay Andrew (F)₁) = 5.70 Newton

Cufka shayga (m) = 2.00 kg

Dardargelinta (a) = 2.00 m/s²

La doonayo: Weynaanta iyo jihada xoogga uu sameeyay Tom (F)₂)?

Xalka:

Ku dhaqan sharciga labaad ee dhaqdhaqaaqa Newton:

ΣF = ma

F₁ +F₂ = ma

5.70 + F₂ = (2)(2)

5.70 + F₂ = 4

F₂ = 4 - 5.70

F₂ = – 1.7 Newton

Calaamadda laga jaray ayaa muujisay in (F)₂) waa ka soo horjeeda ficilka riixitaanka xoogga ee Andrew (F)₁).

Jawaabta saxda ah waa A.

11. Haddii cufka baloogga uu isku mid yahay, jaantuskee ayaa muujinaya dardargelinta ugu yar?

Solution

Xoogga saafiga ah A:

ΣF = 4 N + 2 N - 3 N = 6 N - 3 N = 3 Newton, bidix

Xoogga saafiga ah B:

ΣF = 2 N + 3 N - 4 N = 5 N - 4 N = 1 Newton, dhanka midig

Xoogga saafiga ah C:

ΣF = 4 N + 3 N - 2 N = 7 N - 2 N = 5 Newton, dhanka midig

Xoogga saafiga ah D:

ΣF = 3 N + 4 N + 2 N = 9 Newton, dhanka midig

Isle'egta sharciga labaad ee Newton:

ΣF = ma

a = ΣF / m

a = dardargelin, ΣF = xoog saafi ah, m = cuf

Iyada oo ku saleysan qaacidada kor ku xusan, dardargelinta (a) waxay si toos ah ugu dhigantaa xoogga saafiga ah (ΣF) waxayna si liddi ku ah u dhigantaa cufka (m). Haddii cufka shay uu isku mid yahay, xoogga ka dhasha ayaa sii kordhaya, dardargelinta ayaa sii badanaysa ama xoogga ka dhasha ayaa sii yaraanaya, dardargelintu way sii yaraanaysaa.
Iyada oo ku saleysan xisaabinta kor ku xusan, xoogga saafiga ugu yar waa 1 Newton sidaa darteed dardargelintu sidoo kale waa kan ugu yar.

Jawaabta saxda ah waa B.

12. Xoogag qaar ayaa ku dhaqma shay miisaankiisu yahay 20 kg, sida ka muuqata sawirka hoose.

Go'aami xawaaraha shayga.

La yaqaan:

Cufka shayga (m) = 20 kg

Xoogga saafiga ah (ΣF) = 25 N + 30 N - 15 N = 40 N

SE buska: Dardargelinta shay

Xalka:

Dardargelinta Shayga waxaa lagu xisaabiyay iyadoo la adeegsanayo isle'egta sharciga labaad ee Newton:

ΣF = ma

a = ΣF / m = 40 N / 20 kg = 2 N/kg = 2 m/s²

13. Weedhkee hoos ku qoran ayaa qeexaysa sharciga saddexaad ee Newton?

(1) Rakaabkii ayaa hore u riixay markii basku si lama filaan ah u bareegay

(2) Bbuugaag warqad ku qoran ma dhacayaan marka warqadda si dhakhso ah loo jiido

(3) Marka la ciyaarayo skateboarding marka cagtu dhulka dib u riixdo markaa skateboard-ka ayaa hore u simbiriirixan doona

(4) Thears gadaal loo riixay, doonyaha ayaa hore u socda

Xalka:

(1) Sharciga ugu horreeya ee Newton

(2) Sharciga ugu horreeya ee Newton

(3) Sharciga saddexaad ee Newton

(4) Sharciga saddexaad ee Newton

[wpdm_package id='470′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaqa dusha sare ee jiifka ah iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan ee qallafsan oo leh xoogga is-jiidjiidka
7. Dhaqdhaqaaqa diyaaradda u janjeerta iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaqa diyaaradda qallafsan ee u janjeerta oo leh xoogga is jiidjiidka
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka waxaa isku xira fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah

Akhri wax dheeraad ah

Dhibaatooyinka la xalliyay ee sharciyada dhaqdhaqaaqa ee Newton - Xoogga caadiga ah 

1. Shay ku dul fadhiya miis, oo ka muuqda sawirka hoose. Cufka shaygu waa 1 kg. Dardargelinta cufisjiidadka waa 9.8 m/s²Go'aami xoogga caadiga ah ee shayga lagu sameeyo miiska agtiisa.

La yaqaan:

Cufnaanta (m) = 1 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s²

Miisaanka (w) = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

SE buska: xoog caadi ah (N)

Xalka:

Shayga wuxuu ku fadhiyaa miiska, sidaa darteed xoogga saafiga ah ee shayga waa eber (sharciga koowaad ama labaad ee Newton). Miisaanka shaygu wuxuu si toosan hoos ugu socdaa, isagoo u jeeda bartamaha Dhulka. Waa inay jirtaa awood kale oo shayga saaran si loo dheellitiro. xoog gravitvShay ku dul fadhiya miiska, si miiska uu u sameeyo xooggan kor u kaca. Xoogga uu sameeyo miiska waxaa badanaa loo yaqaan xoog caadi ah (N). Caadi macnaheedu waa toosan.

Dooro jihada kor u kaca sida jihada y ee togan. Xoogga saafiga ah ee shayga waa:

ΣF = 0

N – w = 0

N = w

N = mg

N = 9.8 Newton

Xoogga caadiga ah ee shayga, oo uu jadwalku sameeyo waa 9.8 N kor.

2. Laba shay oo ku dul fadhiya miis. Mass ee shayga 1 (m₁) = 1 kg, cufka walaxda 2 (m₂) = 2 kg, dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s²Go'aami baaxadda iyo jihada xoogga caadiga ah ee uu sameeyo m₂ ku yaal m₁ iyo xoogga caadiga ah ee uu miiska ku sameeyo m₂.

Solution

La yaqaan:

Cufka shayga 1 (m)₁) = 1 kg

Cufka shayga 2 (m)₂) = 2 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s²

Miisaanka ee shayga 1 (w₁) = m₁ g = (1)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

Miisaanka shayga 2 (w)₂) = m₂ g = (2)(9.8 m/s²) = 19.6 kg m/s² = 19.6 Newton

La doonayo: N₁ iyo N₂

Xalka:

(a) Xoogga caadiga ah ee uu sameeyo m₂ ilaa m₁ (N₁)

N₁ = w₁ = 9.8 Newton

Jihada N₁ waa kor.

(b) Xoog caadi ah oo uu jadwalku ku sameeyo m₂ (N₂)

N₂ = w₁ +w₂ = 9.8 Newtons + 19.6 Newtons = 29.4 Newtons

Jihada N₂ waa kor.

3. Shay ku dul fadhiya miiska. Cufka shaygu waa 2 kg, dardargelinta cufisjiidadka awgeed waa 9.8 m/s²Baaxadda xoogga F waa 10 Newtons. Soo hel baaxadda iyo jihada xoogga caadiga ah ee uu jadwalku ku sameeyo shayga.

Solution

La yaqaan:

Cufka shayga (m) = 2 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s²

Miisaanka (w) = mg = (2 kg)(9.8 m/s²) = 19.6 kg m/s² = 19.6 Newton

Xoogga F (F) = 10 Newton

rabay : baaxadda iyo jihada xoogga caadiga ah (N)

Xalka:

jihada xoogga caadiga ah waa kor.

Baaxadda xoogga caadiga ah:

ΣF=0

N – F – w = 0

N = F + w

N = 10 Newtons + 20 Newtons

N = 30 Newton

4. Shay ku dul fadhiya miis. Cufnaanta shaygu waa 1 kg, dardargelinta cufisjiidadka awgeed waa 9,8 m/s², xoog F₁ waa 10 N iyo xoog F₂ waa 20 N. Go'aami baaxadda iyo jihada xoogga caadiga ah ee uu shayga ku sameeyo. g = 9.8 m/s²

Solution

La yaqaan:

Cufnaanta (m) = 1 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s²

Miisaanka (w) = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

F₁ = 10 Newton

F₂ = 20 Newton

La doonayo: baaxadda iyo jihada xoogga caadiga ah (N)

Xalka:

Jihada xoogga caadiga ah waa kor.

Baaxadda xoogga caadiga ah:

ΣF=0

N – F₂ – w + F₁ = 0

N = F₂ + w – F₁

N = 20 Newtons + 9.8 Newtons – 10 Newtons

N = 19.8 Newton

5. Cufka walaxda (m) = 2 kg, dardargelinta cufisjiidadka (g) = 9.8 m/s², xagal = 30^oSoo hel baaxadda iyo jihada xoogga caadiga ah ee lagu saaray shayga.

Xalka:

w waa miisaan, w_x waa qayb jiif ah oo miisaanka ah, w_y waa qayb toosan oo miisaanka ah, N waa xoogga caadiga ah.

La yaqaan:

cufnaanta (m) = 2 kg

dardargelinta cufisjiidadka (g) = 9.8 m/s²

miisaanka (w) = mg = (2 kg)(9.8 m/s²) = 19.6 kg m/s² = 19.6 Newton

w_x = w sin 60^o = (19.6 N)(0.5)√3= 9.8√3 Newton

w_y = w cos 60 = (19.6 N)(0.5) = 9.8 Newton

SE buska: xoog caadi ah (N)

Xalka:

ΣF=0

N - w_y = 0

N = w_y

N = 9.8 Newton

[wpdm_package id='467′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaqa dusha sare ee jiifka ah iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan ee qallafsan oo leh xoogga is-jiidjiidka
7. Dhaqdhaqaaqa diyaaradda u janjeerta iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaqa diyaaradda qallafsan ee u janjeerta oo leh xoogga is jiidjiidka
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka waxaa isku xira fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah

Akhri wax dheeraad ah

Dhibaatooyinka la xalliyay ee sharciyada dhaqdhaqaaqa ee Newton - Cufnaanta, iyo miisaanka

1. Miisaanka cufnaanta 1 kg ee dusha sare ee Dhulka waa… g = 9.8 m/s²

La yaqaan:

Cufnaanta (m) = 1 kg

The dardargelinta cufisjiidadka dhulka oo dhan (g) = 9.8 m/s²

SE buska: miisaanka (w)

Xalka:

w = mg

m = cufnaan (Cutubka SI ee cufnaanta waa kiilogaraam, kg)

g = dardargelinta cufisjiidadka awgeed (Cutubka SI ee g waa m/s²)

w = miisaan (Cutubka SI ee w waa kg m/s² ama Newton)

Miisaanka:

w = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

2.

(a) Sawir Sawir xoogga cufisjiidadka (miisaanka) kaasoo ku shaqeeya shayga marka shaygu uu ku nasto miis, sida ku cad sawirka (a).

(b) Sawir xoogga cufisjiidadka (miisaanka) iyo qaybaha ka shaqeeya shay hoos u simbirixanaya shay diyaarad janjeerta, sida ku cad sawirka (b)

Solution

Jihada miisaanku waxay hoos ugu socotaa bartamaha Dhulka.

w_x = qaybta jiifa ee miisaanka iyo w_y = qaybta toosan ee miisaanka

3. Cufka sanduuqa waa 1 kg, dardargelinta cufisjiidadka awgeedna waa 9.8 m/s.²Soo hel (a) miisaanka (b) qaybta toosan iyo qaybta toosan ee miisaanka.

Solution

Miisaanka: w = mg = (1 kg)(9.8 m/s²) = 9.8 kg m/s² = 9.8 Newton

Qaybta jiifa ee miisaanka:

w_x = w sin 30^o = (9,8 N)(0,5) = 4.9 Newton

Qaybta toosan ee miisaanka:

w_y = w cos 30^o = (9.8 N)(0.5√3) = 4.9√3 Newtons

[wpdm_package id='458′]

1. Cufka iyo miisaanka
2. xoog caadi ah
3. Sharciga labaad ee dhaqdhaqaaqa Newton
4. Xoogga is-qabqabsiga
5. Dhaqdhaqaaqa dusha sare ee jiifka ah iyada oo aan lahayn xoog is jiidjiid ah
6. Dhaqdhaqaaqa laba jidh oo leh xawaare isku mid ah oo ku yaal dusha sare ee toosan ee qallafsan oo leh xoogga is-jiidjiidka
7. Dhaqdhaqaaqa diyaaradda u janjeerta iyada oo aan lahayn xoog is jiidjiid ah
8. Dhaqdhaqaaqa diyaaradda qallafsan ee u janjeerta oo leh xoogga is jiidjiidka
9. Dhaqdhaqaaqa wiishka
10. Dhaqdhaqaaqa jirka waxaa isku xira fiilooyin iyo boolal
11. Laba jir oo leh xawaare isku mid ah
12. Wareegidda qalooc fidsan - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
13. Soo koobidda qalooca bangi - dhaqdhaqaaqa dhaqdhaqaaqa wareegsan
14. Dhaqdhaqaaq siman oo goobo jiif ah
15. Xoogga dhexe ee dhaqdhaqaaqa wareegsan ee isku midka ah

Akhri wax dheeraad ah

Dhibaatooyinka lagu xalliyay Dhaqdhaqaaqa Toosan - Dhaqdhaqaaqa kor iyo hoos ee dayrta xorta ah

1. Qof ayaa kubadda kor ugu tuuraya hawada iyadoo xawaare bilow ah uu yahay 20 m/s. Xisaabi inta ay kor u kacayso. Iska ilow iska caabbinta biyaha. Dardargelinta cufjiidka awgeed (g) = 10 m/s².

Solution

Waxaan u isticmaalnaa mid ka mid ah isle'egyada kinematic-ka ah dhaqdhaqaaq xawaare joogto ah leh, sida ka muuqata hoosta.

v_t =v_o + at

s = v_o t + ½ at²

v_t² =v_o² + 2 dhidib

La yaqaan:

Waxaan u doorannaa jihada kor u kaca inay tahay mid togan, halka jihada hoos u dhacna ay tahay mid taban.

Xawaaraha bilowga ah (v)_o) = 20 m/s (kor u kac togan)

Dardargelinta cufisjiidadka (g) = – 10 m/s² (taban hoos u dhac).

Xawaaraha kama dambaysta ah (v)_t) = 0 (xawaarihiisu waa eber daqiiqaddii marka ugu sarreysa la gaaro)

La doonayo: Dhererka ugu badan (h)

Xalka:

v_t² =v_o² + 2 gh

0 = (20)²) + 2(-10) saac

0 = 400 – 20 saacadood

400 = 20 saacadood

h = 400 / 20 = 40 / 2 = 20 mitir

2. Qof ayaa dhagax kor u tuura 20 m/s isagoo taagan geeska dhagax, si dhagaxu ugu dhaco salka dhagaxa 100 mitir oo hoos ah.

(a) Intee in le'eg ayay ku qaadanaysaa kubbadda inay gaarto saldhigga dhagaxa (b) Xawaaraha kama dambaysta ah wax yar ka hor inta uusan dhagaxu dhulka ku dhicin. Dardargelinta cufisjiidadka (g) = 10 m/s²Iska ilow iska caabbinta hawada.

La yaqaan:

Waxaan u doorannaa jihada kor u kaca inay tahay mid togan, halka jihada hoos u dhacna ay tahay mid taban.

Sare (h) = -100 mitir (taban sababtoo ah booska kama dambaysta ah ee ka hooseeya booska hore)

Bilowga xawaare (v_o) = 20 m/s (kor u kac togan)

Dardargelinta cufisjiidadka (g) = -10 m/s² (taban hoos u dhac)

La doonayo:

(a) Waqtiga hawada ku jira ama waqtiga u dhexeeya (t)

(b) Xawaaraha kama dambaysta ah (v)_t)

Xalka:

(a) Muddada (t)

La yaqaan:

Sare (h) = -100 mitir (taban sababtoo ah booska kama dambaysta ah ee ka hooseeya booska hore)

Xawaaraha bilowga ah (v)_o) = 20 m/s (kor u kac togan), Dardargelinta cufisjiidadka (g) = -10 m/s² (taban hoos u dhac).

h = v_o t + ½ gt²

-100 = (20) t + ½ (-10) t²

-100 = 20 t – 5 t²

-5 t² + 20 t + 100 = 0

Waxaan isticmaalnaa qaacidada labajibbaaran:

(b) Xawaaraha kama dambaysta ah

v_t² =v_o² + 2 gh

v_t² = (20²) + 2 (-10)(-100)

v_t² = 400 + 2000

v_t² = 2400

v_t = 49m/s

[wpdm_package id='515′]

[wpdm_package id='517′]

1. Masaafada iyo barakaca
2. Xawaaraha celceliska iyo xawaaraha celceliska
3. Xawaaraha joogtada ah
4. Dardargelin joogto ah
5. Dhaqdhaqaaq xor ah oo dhaca
6. Dhaqdhaqaaqa hoos u dhaca xilliga dayrta xorta ah
7. Dhaqdhaqaaqa kor iyo hoos ee dayrta xorta ah

Akhri wax dheeraad ah

Dhibaatooyinka lagu xalliyay Dhaqdhaqaaqa Toosan - Dhaqdhaqaaqa hoos u dhaca xilliga dayrta xorta ah

1. Kubbad ayaa si toosan hoos loogu tuurayaa iyadoo xawaaraha bilowga ah uu yahay 10 m/s waxayna dhulka ku gaartaa 2 ilbiriqsi gudahood. Soo hel xawaaraha kama dambaysta ah wax yar ka hor inta uusan kubbadu dhulka ku dhicin. Dardargelinta cufisjiidadka (g) = 10 m/s²Iska ilow iska caabbinta hawada.

La yaqaan:

Xawaaraha bilowga ah (v)_o) = 10m/s

Waqtiga dhacay (t) = 2 ilbiriqsi

Dardargelinta cufisjiidadka (g) = 10 m/s²

La Doonayo: Xawaaraha kama dambaysta ah (v)_t)

Xalka:

Dardargelinta 10 m/s² macnaheedu waa kororka xawaaraha 10 m/s ilbiriqsikiiba. 3 ilbiriqsi ka dib, xawaaruhu waa 30 m/s.

Xawaaraha kama dambaysta ah = 10 m/s + 20 m/s = 30 m/s.

Isleegyada kinematic-ka ee loogu talagalay dhaqdhaqaaq xawaare joogto ah leh, sida hoos ku cad:

v_t =v_o + at ………. 1

h = v_o t + ½ at² ……. 2

v_t² =v_o² + 2 ah ……. 3

v_t =v_o + gt

v_t = 10 + (10)(2)

v_t = 10 + 20 = 30 m/s

Xawaaraha kama dambaysta ah = v_t = 30m/s

2. Dhagax ayaa si toosan hoos looga soo tuurayaa buundo xawaare bilow ah oo ah 5 m/s wuxuuna gaarayaa biyaha 2 ilbiriqsi gudahood. Xisaabi dhererka buundada.

La yaqaan:

Xawaaraha bilowga ah (v)_o) = 5m/s

Waqtiga dhacay (t) = 2 ilbiriqsi

Dardargelinta cufisjiidadka awgeed (g) = 10 m/s²

La doonayo: dhererka buundada (h)

Xalka:

h = v_o t + ½ gt²

h = (5)(2) + ½ (10)(2)²

h = 10 + (5)(4)

h = 10 + 20

h = 30 mitir

3. Kubad ayaa si toosan hoos loogu tuurayaa iyadoo xawaaraha bilowga ah uu yahay 10 m/s meel u jirta dherer dhan 80 mitir. Soo hel (a) Waqtiga hawada ku jira (b) Xawaaraha kama dambaysta ah wax yar ka hor inta uusan kubbadu dhulka ku dhicin.

La yaqaan:

dhererka (h) = 80 mitir

Xawaaraha bilowga ah (v)_o) = 10m/s

Dardargelinta cufisjiidadka (g) = 10 m/s²

La doonayo:

(a) Muddada (t)

(b) Xawaaraha kama dambaysta ah (v)_t)

Xalka:

(a) Muddada (t)

Xawaaraha kama dambaysta ah:

v_t² =v_o² + 2 gh

v_t² = (10)² + 2(10)(80) = 100 + 1600 = 1700

v_t = 41m/s

Muddada (t):

v_t =v_o + gt

41 = 10 + (10)(t)

41 – 10 = 10 t

31 = 10 t

t = 31 / 10 = 3,1 ilbiriqsi

(b) Xawaaraha kama dambaysta ah (v)_t) ?

v_t = 41m/s

[wpdm_package id='513′]

[wpdm_package id='517′]

1. Masaafada iyo barakaca
2. Xawaaraha celceliska iyo xawaaraha celceliska
3. Xawaaraha joogtada ah
4. Dardargelin joogto ah
5. Dhaqdhaqaaq xor ah oo dhaca
6. Dhaqdhaqaaqa hoos u dhaca xilliga dayrta xorta ah
7. Dhaqdhaqaaqa kor iyo hoos ee dayrta xorta ah

Akhri wax dheeraad ah