Physics

1. Cufka shayga = 2 kg, dardargelinta cuf-isjiidadka = 9.8 m/s ² , isku-dhafka is-jiidadka taagan = 0.2, isku-dhafka is-jiidadka dhaqdhaqaaqa = 0.1. Shayga ma nasanayaa mise waa la dedejinayaa? Haddii shayga la dedejinayo, hel (a) xoogga saafiga ah (b) baaxadda iyo jihada dardargelinta sanduuqa!

Solution

La yaqaan:

Cufnaanta (m) = 2 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s ²

Isugeynta is-jiidjiidka aan joogtada ahayn ( μs ₎ = 0.2

Isku-darka is-xoqidda dhaqdhaqaaqa ( μk ₎ = 0.1

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

Qaybta toosan ee miisaanka ( w _x ) = w sin 30 ^o = (19.6)(0.5) = 9.8 Newtons

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 Newtons

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

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

Xalka:

Shaygu wuu nasanayaa haddii w _x < fs _s , shaygu hoos ayuu u socdaa haddii w _x > fs _s.

w _x = 9.8 Newtons iyo fs ₌ 3.39 Newtons.

(a) xoogga saafiga ah

∑ F = w _x – f _k = 9.8 – 1.69 = 8.11 Newtons

(b) baaxadda iyo jihada dardargelinta

∑ F = ma

8.11 = (2) a

a = 4.05

Baaxadda dardargelinta = 4.05 m/s ² iyo jihada dardargelinta = hoos.

[irp]

2. Cufka shayga = 4 kg, dardargelinta cuf-isjiidadka awgeed = 9,8 m/s ^2. Isku-darka is-jiidjiidka dhaqdhaqaaqa = 0.2 iyo isku-darka is-jiidjiidka taagan = 0.4. Cabbirka xoogga F = 40 Newtons. Shaygu wuu nasanayaa ama hoos buu u simbirixanayaa? Haddii shaygu hoos u simbirixanayo, raadi (a) xoogga saafiga ah (b) baaxadda iyo jihada dardargelinta!

Solution

La yaqaan:

Cufnaanta (m) = 4 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s ²

Isugeynta is-jiidjiidka aan joogtada ahayn ( μs ₎ = 0.4

Isugeynta is-xoqidda dhaqdhaqaaqa ( μk ₎ = 0.2

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

Qaybta toosan ee miisaanka (w _x ) = w sin 30 ^o = (39.2)(0.5) = 19.6 Newtons

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 + fs _s . Shaygu wuxuu kor u dhacayaa haddii F > w _x + fs _s.

F = 40 Newtons, w _x = 19.6 Newtons iyo f _s = 13.58 Newtons.

F waa ka weyn tahay w _x + f _s sidaa darteed shaygu kor ayuu u simbiriirixanayaa.

(a) Xoogga saafiga ah

∑ F = F – w _x – f _k = 40 – 19.6 – 6.79 = 13.61 Newtons

(b) Baaxadda iyo jihada dardargelinta

∑ F = ma

6.4 = (4) a

a = 1.6

Baaxadda dardargelintu waa 1.6 m/s ² , jihada dardargelintuna waa kor.

[irp]

[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. Cufka sanduuqa = 2 kg, dardargelinta cuf-isjiidadka awgeed = 9.8 m/s ^{2. Soo hel (a) xoogga saafiga ah ee dedejiya sanduuqa hoos u dhigista (b) baaxadda} dardargelinta sanduuqa.

Solution

La yaqaan:

Cufnaanta (m) = 2 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s ²

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) Shabaqa ce ee dardargeliya sanduuqa

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

∑ F = w _x

∑ F = 9.8 Newton

(b) baaxadda dardargelinta

∑ F = ma

9.8 = (2) a

a = 9.8/2

a = 4.9 m/s ²

Baaxadda xawaaraha waa 4.9 m/s ² , jihada xawaaraha ayaa hoos u socota.

[irp]

2. Diyaaradda leexatay waa siman tahay sidaa darteed ma jirto xoog is jiidjiid ah . Cufnaanta shayga waa 3 kg, dardargelinta cufisjiidadka awgeed waa 9.8 m/s ^2. Go'aami baaxadda xoogga F haddii (a) shaygu nasto (b) shaygu uu hoos u socdo iyadoo la adeegsanayo dardargelin joogto ah oo ah 2 m/s ² (c) shaygu uu kor u socdo iyadoo la adeegsanayo dardargelin joogto ah oo ah 2 m/s ².

Solution

La yaqaan:

Cufnaanta (m) = 3 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s ²

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 dhaqdhaqaaqa Newton wuxuu dhigayaa in haddii shay uu nasto, xoogga saafiga ah uu ku dhaqmo shayga uu yahay eber.

∑ F = 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/s ²

∑ F = 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/s ²

∑ F = ma

F – w _x = ma

F – 14.7 = (3)(2)

F – 14.7 = 6

F = 14.7 + 6

F = 20.7 Newton

[irp]

[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. Cufka sanduuqa 1 waa 2 kg, cufka sanduuqa 2 waa 4 kg, dardargelinta cuf-isjiidadka waa 10 m/s ² , cufnaanta xoogga F waa 40 Newtons. Isugeynta isjiidadka kinetic-ga ee u dhexeeya sanduuqa 1 iyo dabaqa waa 0.2 iyo isku-dhafka isjiidadka kinetic-ga ee u dhexeeya sanduuqa 2 iyo dabaqa waa 0.3. Soo hel (a) Cabbirka iyo jihada dardargelinta sanduuqa (b) Cabbirka xoogga uu sameeyo sanduuqa 1 ee sanduuqa 2 (F ₁₂ ) iyo baaxadda xoogga uu sameeyo sanduuqa 2 ee sanduuqa 1 (F ₂₁ ).

Solution

La yaqaan:

Cufka sanduuqa 1 (m1 ₎ = 2 kg

Cufka sanduuqa 2 (m2 ₎ = 4 kg

Dardargelinta cufisjiidadka (g) = 10 m/s ² ,

Xoogga F = 40 Newton,

Isku-darka is-jiidjiidka ee u dhexeeya sanduuqa 1 iyo dabaqa ( μ _k1 ) = 0.2

Isku-darka is-jiidjiidka ee u dhexeeya sanduuqa 2 iyo dabaqa ( μ _k2 ) = 0.3

Miisaanka sanduuqa 1 (w ₁ ) = m _{1 g = (2)} ( 10) = 20 Newtons

Miisaanka sanduuqa 2 (w ₂ ) = m ₂ g = (4)(10) = 40 Newtons

Xoogga caadiga ah ee lagu sameeyay sanduuqa 1 (N ₁ ) = w ₁ = 20 Newtons

Xoogga caadiga ah ee lagu sameeyay sanduuqa 2 (N ₂ ) = w ₂ = 40 Newtons

Xoogga is-jiidjiidka ee lagu sameeyay sanduuqa 1 (f _k1 ) = ( μ _k1 )(N ₁ ) = (0.2)(20) = 4 Newtons

Xoogga is-jiidjiidka ee lagu sameeyay sanduuqa 2 (f _k2 ) = ( μ _k1 )(N ₂ ) = (0.3)(40) = 12 Newtons

Xalka:

(a) Cabbirka iyo jihada xawaaraha sanduuqa

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

Jihada dardargelinta = jihada xoogga saafiga ah = dhanka midig.

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

Xisaabi baaxadda 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 = 28 _Newtons

F ₁₂ iyo F ₂₁ waa xoogag ficil iyo falgal ah oo ka shaqeeya walxaha kala duwan. F ₁₂ iyo F ₂₁ waxay leeyihiin isku cabbir iyo jiho ka soo horjeeda.

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

[irp]

2. Cufka sanduuqa 1 waa 2 kg, cufka sanduuqa 2 waa 4 kg, dardargelinta cuf-isjiidadka waa 10 m/s ² , xoogga F waa 40 N. Isku-dhafka is-jiidadka ee u dhexeeya sanduuqa 1 iyo dabaqa waa 0.2 iyo isku-dhafka is-jiidadka ee u dhexeeya sanduuqa 2 iyo dabaqa waa 0.3. Go'aami (a) Cabbirka iyo jihada is-jiidadka (b) Xiisadda ku jirta xarigga isku xiraya sanduuqyada. Iska ilow cufka xarigga.

La yaqaan:

Cufka sanduuqa 1 (m1 ₎ = 2 kg

Cufka sanduuqa 2 (m2 ₎ = 4 kg

Dardargelinta cufisjiidadka (g) = 10 m/s ² ,

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 ) = m ₁ g = (2)(10) = 20 Newtons

Miisaanka sanduuqa 2 (w ₂ ) = m ₂ g = (4)(10) = 40 Newtons

Xoogga caadiga ah ee lagu sameeyay sanduuqa 1 (N ₁ ) = w ₁ = 20 Newtons

Xoogga caadiga ah ee lagu sameeyay sanduuqa 2 (N ₂ ) = w ₂ = 40 Newtons

Xoogga is-jiidjiidka ee lagu sameeyay sanduuqa 1 (f _k1 ) = ( μ _k1 )(N ₁ ) = (0.2)(20) = 4 Newtons

Xoogga is-jiidjiidka ee lagu sameeyay sanduuqa 2 (f _k2 ) = ( μ _k1 )(N ₂ ) = (0.3)(40) = 12 Newtons

Xalka:

(a) baaxadda iyo jihada dardargelinta

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

Baaxadda dardargelintu waa 4 m/s ² , 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 kinetic 1 (f _k1 ) dhanka bidix. Ku dabaq sharciga labaad ee 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

Xoogagga ka shaqeeya sanduuqa 2 ee jihada toosan waa xiisadda 2 (T ₂ ) dhanka bidix iyo xoogga is-jiidjiidka dhaqdhaqaaqa 2 (f _k2 ) dhanka midig. Ku dabaq sharciga labaad ee 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

Xiisadda ku jirta xarigga isku xiraya sanduuqyada = T ₁ = T ₂ = T = 12 Newtons.

[irp]

[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 cufisjiidadka waa 10 m/s ² , cufisga xoogga F waa 12 Newtons. Go'aami baaxadda iyo jihada dardargelinta shayada.

La yaqaan:

m ₁ = 2 kg, m ₂ = 4 kg, g = 10 m/s ² , F = 12 Newtons

La doonayay : a

Xalka:

Σ F = ma

F = (m ₁ + m ₂ ) a

12 = (2 + 4) a

12 = 6 a

a = 12/6

a = 2 m/s ²

Baaxadda dardargelintu waa 2 m/s ² , jihada dardargelinta = jihada xoogga saafiga ah = dhanka midig.

[irp]

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

La yaqaan:

m ₁ = 2 kg, m ₂ = 4 kg, g = 10 m/s ² , F = 24 Newtons

La Doonayo: dardargelinta (a)

Xalka:

Σ F = ma

F = (m ₁ + m ₂ ) a

24 = (2 + 4) a

24 = 6 a

a = 24/6

a = 4 m/s ²

Jihada dardargelinta = jihada xoogga saafiga ah = dhanka midig.

[irp]

[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

Dhibaatooyinka la xalliyay ee sharciyada dhaqdhaqaaqa ee Newton - Xoogga is jiidjiidka taagan iyo kan kinetic-ga

1. Shay wuxuu ku fadhiyaa dabaq jiif ah. Isku-darka is-jiidjiidku waa 0.4 dardargelinta cufisjiidkuna waa 9.8 m/s ^2. Go'aami (a) Xoogga ugu badan ee is-jiidjiidku waa (b) Xoogga ugu yar ee F

Solution

La yaqaan:

Cufnaanta (m) = 1 kg

Isugeynta is-jiidjiidka aan joogtada ahayn (μs ₎ = 0.4

Dardargelinta cufisjiidadka (g) = 9.8 m/s ²

Miisaanka (w) = mg = (1 kg)(10 m/s ² ) = 10 kg m/s ² = 10 Newtons

Xoogga caadiga ah (N) = w = 10 Newtons

La doonayo:

(a) Xoogga ugu badan ee is-jiidjiidka aan joogtada ahayn (b) Xoogga ugu yar ee F

Xalka:

(a) Xoogga ugu badan ee is-jiidjiidka aan joogtada ahayn

f _s = μ _s N

f _s = (0.4)(9.8 N) = 3.92 Newtons

(b) Awoodda 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 is-jiidjiidka taagan = 3.92 Newtons.

[irp]

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/s ² )

La yaqaan:

_{Isugeynta is- khilaafka} dhaqdhaqaaqa ( μk ) = 0.1

Cufka sanduuqa (m) = 1 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s ²

Miisaanka (w) = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Xoogga caadiga ah (N) = w = 9.8 Newtons

La Rabay : F

Xalka:

Sharciga ugu horreeya ee Newton wuxuu dhigayaa 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 ku socdo xawaare joogto ah , waa inaysan jirin xoog saafi ah ( Σ F = 0) . Xoogga F waxaa lagu saaraa shayga jihada saxda ah si xoogga is-jiidjiidka loogu saaro shayga jihada bidix.

∑ F = 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 Newtons

[irp]

3. Shay ayaa hoos ugu simbiriirixanaya meel u janjeerta xawaare joogto ah. Go'aami isku-dhafka is-jiidjiidka ( _μk ) . g = 9.8 m/s ²

Solution

w = miisaan, w _x = qayb jiif ah oo miisaanka ah, dhibco ku teedsan jiirada, w _y = qayb toosan oo miisaanka ah, oo ku toosan diyaaradda u janjeerta, N = xoog caadi ah, f _k = xoogga isjiidhka kinetic-ga.

La yaqaan:

Cufnaanta (m) = 1 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s ²

Miisaan (w) = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

w _x = w sin 30 ^o = (9.8 N)(0.5) = 4.9 Newtons

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

Xoogga caadiga ah (N) = w _y = 4.9 √ 3 Newtons

La Doonayo : isku-dhafka is-khilaafka kinetic ( μk ₎

Xalka:

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

∑ F = 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

[irp]

[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 xawaare ku socda 5 m/s ^2. Qiyaas xoogga saafiga ah ee loo baahan yahay si loo dedejiyo shayga.

La yaqaan:

Cufnaanta (m) = 1 kg

Dardargelinta (a) = 5 m/s ²

La Doonayo : xoog saafi ah (∑F)

Xalka:

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

∑ F = ma

∑ F = (1 kg)(5 m/s ² ) = 5 kg m/s ² = 5 Newtons

[irp]

2. Cufka 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

La Doonayo : Cabbirka iyo jihada dardargelinta (a)

Xalka:

a = ∑F / m

a = 2/1

a = 2 m/s ²

Jihada dardargelinta = jihada xoogga saafiga ah (∑F)

[irp]

3. Cufka walaxda = 2 kg, F ₁ = 5 Newtons, F ₂ = 3 Newton. Cabbirka iyo jihada dardargelinta waa…

La yaqaan:

Cufnaanta (m) = 2 kg

F1 = 5 _Newtons

F2 = 3 _Newtons

La Doonayo: Cabbirka iyo jihada dardargelinta (a)

Xalka:

xoog saafi ah:

∑ F = F ₁ – F ₂ = 5 – 3 = 2 Newtons

Baaxadda dardargelinta:

a = ∑F / m

a = 2/2

a = 1 m/s ²

Jihada dardargelinta = jihada xoogga saafiga ah = jihada F ₁

[irp]

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

La yaqaan:

Cufnaanta (m) = 2 kg

F2 = 1 _Newtons

F1 = 10 _Newtons

F _1x = F ₁ cos 60 ^o = (10)(0.5) = 5 Newtons

La Doonayo : Cabbirka iyo jihada dardargelinta (a)

Xalka:

Xoogga saafiga ah:

∑ F = F _1x – F ₂ = 5 – 1 = 4 Newtons

Baaxadda dardargelinta:

a = ∑F / m

a = 4/2

a = 2 m/s ²

Jihada dardargelinta = jihada xoogga saafiga ah = jihada F _1x

[irp]

5. F ₁ = 10 Newtons, F ₂ = 1 Newton, m ₁ = 1 kg, m ₂ = 2 kg. Cabbirka iyo jihada dardargelinta waa…

La yaqaan:

Cufnaanta 1 (m1 ₎ = 1 kg

Cufnaanta 2 (m2 ₎ = 2 kg

F1 = 10 _Newtons

F2 = 1 _Newtons

La Doonayo : Cabbirka iyo jihada dardargelinta (a)

Xalka:

Xoogga saafiga ah:

∑ F = F ₁ – F ₂ = 10 – 1 = 9 Newtons

Baaxadda dardargelinta:

a = ∑F / (m ₁ + m ₂ )

a = 9 / (1 + 2)

a = 9/3

a = 3 m/s ²

Jihada dardargelinta = jihada xoogga saafiga ah = jihada F ₁

[irp]

6.

Baloog 40-kg ah oo lagu dardar galiyay xoog dhan 200 N. Dardargelinta baloogga waa 3 m/ s ^2. Go'aami baaxadda xoogga is-jiidjiid ee uu la kulmay 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/s ²

La Raadinayo: Xoogga is-qabsiga (F _g )

Xalka:

Isle'egta sharciga labaad ee dhaqdhaqaaqa Newton

∑ F = ma

∑ F = 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.

∑ F = 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 xoogga caadiga ah ee baloogga B ku sameeyo 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/s ²

Miisaanka baloogga A (w _A ) = (0.1 kg)(10 m/s ² ) = 1 kg m/s ² = 1 Newton

Miisaanka baloogga B (w _B ) = (0.3 kg)(10 m/s ² ) = 3 kg m/s ² = 3 Newtons

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:

∑ F = ma

F – w _A – w _B + N _A – N _A ' = (m _A + m _B ) a

N _A iyo N _A ' waa awoodo fal-celin ficil ah oo leh isla baaxad laakiin ka soo horjeeda jihada sidaas darteed waa laga saarayaa isla'egta.

F – w _A – w _B = (m _A + m _B ) a

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/s ²

Ku dabaq sharciga labaad ee mooshinka Newton baloogga A:

∑ F = ma

N _A – w _A = m _A a

N _A – 1 = (0.1)(2.5)

NA – ₁ = 0.25

NA = 1 + _0.25

NA = 1.25 _Newtons

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 Newtons

La Raadinayo: Xoogga saafiga ah wuxuu ku dhaqmaa shayga

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 jiifa 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 nasanaya dusha siman ee siman. Xoogga 16 N wuxuu ku shaqeeyaa shayga si shaygu u dardargeliyo 2 m/s ^2. Haddii shayga isku midka ah uu ku nasto dusha toosan ee qallafsan sidaas darteed xoogga is-jiidjiidku wuxuu ku shaqeeyaa shayga 2 N, markaa go'aami dardargelinta shayga haddii xoogga isku midka ah ee 16 N uu ku dhaqmo shayga.

A. 1.75 m/s ²

B. 1.50 m/s ²

Q. 1.00 m/s ²

D. 0.88 m/s ²

La yaqaan:

Xoogga (F) = 16 Newtons = 16 kg m/s ²

Dardargelinta (a) = 2 m/s ²

Xoogga is-jiidjiidashada (F _fric ) = 2 Newtons = 2 kg m/s ²

La rabay: 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 _fric = ma

16 – 2 = 8 a

14 = 8 a

a = 14/8

a = 1.75 m/s ²

Xawaaraha shayga waa 1.75 m/s ².

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 , markaa go'aami baaxadda iyo jihada ficilka xoogga ee 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:

Xoogga riixitaanka oo uu sameeyay Andrew (F ₁ ) = 5.70 Newton

Cufka shayga (m) = 2.00 kg

Dardargelinta (a) = 2.00 m/s ²

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

Xalka:

Ku dhaqan sharciga labaad ee dhaqdhaqaaqa Newton:

∑ F = ma

F ₁ + F ₂ = ma

5.70 + F ₂ = (2)(2)

5.70 + F ₂ = 4

F ₂ = 4 – 5.70

F ₂ = – 1.7 Newton

Calaamadda laga jaray waxay muujisay in (F ₂ ) ay ka soo horjeeddo ficilka riixitaanka 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.

[irp]

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

La Doonayo: 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/s ²

[irp]

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) Buugaagta warqadda ku qoran ma dhacayaan marka warqadda si dhakhso ah loo jiido

(3) Marka la ciyaarayo skateboard-ka marka cagtu dhulka dib u riixdo, skateboard-ku wuu hore u simbiriirixan doonaa

(4) O ars 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/s ^2. Go'aami xoogga caadiga ah ee shayga ku saaran miiska.

La yaqaan:

Cufnaanta (m) = 1 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s ²

Miisaanka (w) = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

La doonayo: xoog caadi ah (N)

Xalka:

Shayga wuxuu ku nasanayaa 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 inuu jiraa awood kale oo shayga saaran si loo dheellitiro xoogga cufisjiidadka . Shayga ku nasanaya miiska, si miiska uu u sameeyo xooggan kor u kaca. Xoogga uu sameeyo miiska waxaa badanaa loo yaqaan xoog caadi ah (N). Caadiga macnaheedu waa toosan.

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

∑ F = 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.

[irp]

2. Laba shay oo ku dul fadhiya miis. Cufka shayga 1 (m ₁ ) = 1 kg, cufka shayga 2 (m ₂ ) = 2 kg, dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s ^2. Go'aami baaxadda iyo jihada xoogga caadiga ah ee m ₂ ku bixiyo m ₁ iyo xoogga caadiga ah ee uu jadwalku ku shaqeeyo m ₂.

Solution

La yaqaan:

Cufka shayga 1 (m1 ₎ = 1 kg

Cufka shayga 2 (m2 ₎ = 2 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s ²

Miisaanka shayga 1 (w ₁ ) = m ₁ g = (1)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Miisaanka shayga 2 (w ₂ ) = m ₂ g = (2)(9.8 m/s ² ) = 19.6 kg m/s ² = 19.6 Newtons

La Raadinayo: N ₁ iyo N ₂

Xalka:

(a) Xoogga caadiga ah ee m2 _ku shaqeeya m1 ( _{N1 )}

N ₁ = w ₁ = 9.8 Newton

Jihada N1 _waa kor.

(b) Xoogga caadiga ah ee uu jadwalku ku sameeyo m ₂ (N ₂ )

N ₂ = w ₁ + w ₂ = 9.8 Newtons + 19.6 Newtons = 29.4 Newtons

Jihada N2 _waa kor.

[irp]

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

Solution

La yaqaan:

Cufka shayga (m) = 2 kg

Dardargelinta cufisjiidadka awgeed (g) = 9.8 m/s ²

Miisaanka (w) = mg = (2 kg)(9.8 m/s ² ) = 19.6 kg m/s ² = 19.6 Newtons

Xoogga F (F) = 10 Newton

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

Xalka:

jihada xoogga caadiga ah waa kor.

Baaxadda xoogga caadiga ah:

∑ F = 0

N – F – w = 0

N = F + w

N = 10 Newtons + 20 Newtons

N = 30 Newton

[irp]

4. Shay ku dul fadhiya miis. Cufka shaygu waa 1 kg, dardargelinta cufisjiidadka awgeed waa 9,8 m/s ² , xoogga F ₁ waa 10 N iyo xoogga F ₂ waa 20 N. Go'aami baaxadda iyo jihada xoogga caadiga ah ee uu shayga ku sameeyo. g = 9.8 m/s ²

Solution

La yaqaan:

Cufnaanta (m) = 1 kg

Dardargelinta cufisjiidadka (g) = 9.8 m/s ²

Miisaanka (w) = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

F1 = 10 _Newtons

F2 = 20 _Newtons

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

Xalka:

Jihada xoogga caadiga ah waa kor.

Baaxadda xoogga caadiga ah:

∑ F = 0

N – F ₂ – w + F ₁ = 0

N = F ₂ + w – F ₁

N = 20 Newtons + 9.8 Newtons – 10 Newtons

N = 19.8 Newton

[irp]

5. Cufka walaxda (m) = 2 kg, dardargelinta cuf-isjiidadka (g) = 9.8 m/s ² , xagal = 30 ^o . Soo hel baaxadda iyo jihada xoogga caadiga ah ee lagu sameeyay walaxda.

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/s ²

Miisaan (w) = mg = (2 kg)(9.8 m/s ² ) = 19.6 kg m/s ² = 19.6 Newtons

w _x = w sin 60 ^o = (19.6 N)(0.5) √ 3 = 9.8 √ 3 Newtons

w _y = w cos 60 = (19.6 N)(0.5) = 9.8 Newtons

La doonayo: xoog caadi ah (N)

Xalka:

∑ F = 0

N – w _y = 0

N = w _y

N = 9.8 Newton

[irp]

[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/s ²

La yaqaan:

Cufnaanta (m) = 1 kg

Dardargelinta cufisjiidadka dhulka (g) = 9.8 m/s ²

La Rabay: miisaanka (w)

Xalka:

w = mg

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

g = dardargelinta cufisjiidadka awgeed (Cutubka SI ee g waa m/s ² )

w = miisaan (Cutubka SI ee w waa kg m/s ² ama Newton)

Miisaanka:

w = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

[irp]

2.

(a) Sawir xoogga cufisjiidadka (miisaanka) ee 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 meel u 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

[irp]

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

Solution

Miisaanka: w = mg = (1 kg)(9.8 m/s ² ) = 9.8 kg m/s ² = 9.8 Newtons

Qaybta jiifa ee miisaanka:

w _x = w sin 30 ^o = (9,8 N)(0,5) = 4.9 Newtons

Qaybta toosan ee miisaanka:

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

[irp]

[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 sare u kacayso. Iska ilow iska caabbinta biyaha. Dardargelinta cufisjiidadka awgeed (g) = 10 m/s ².

Solution

Waxaan u isticmaalnaa mid ka mid ah isla'egyadan kinematic-ka ah dhaqdhaqaaqa xawaareynta joogtada ah , sida hoos ku cad.

v _t = v _o + at

s = v _o t + ½ marka la gaaro ²

v _t ² = v _o ² + 2 sida

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 (vo _o ) = 20 m/s (kor u kac togan)

Dardargelinta cufisjiidadka (g) = – 10 m/s ² (hoos u dhac taban).

Xawaaraha kama dambaysta ah (v _t ) = 0 (xawaarihiisu waa eber daqiiqaddii ugu sarreysay)

La Doonayo: Dhererka ugu badan (h)

Xalka:

v _t ² = v _o ² + 2 gh

0 = (20 ² ) + 2(-10) saac

0 = 400 – 20 saacadood

400 = 20 saacadood

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

[irp]

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 awgeed (g) = 10 m/s ^2. Iska ilow iska caabbinta biyaha.

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)

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

Dardargelinta cufisjiidadka (g) = -10 m/s ² (hoos u dhac taban)

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/s ² (hoos u dhac taban).

h = v _o t + ½ gt ²

-100 = (20) t + ½ (-10) t ²

-100 = 20 t – 5 t ²

-5 t ² + 20 t + 100 = 0

Waxaan isticmaalnaa qaacidada labajibbaaran:

(b) Xawaaraha kama dambaysta ah

v _t ² = v _o ² + 2 gh

v _t ² = (20 ² ) + 2 (-10)(-100)

v _t ² = 400 + 2000

v _t ² = 2400

v _t = 49 m/s

[irp]

[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 ugu dambeeya wax yar ka hor inta uusan kubbadu dhulka ku dhicin. Dardargelinta cufisjiidadka (g) = 10 m/s ^2. Iska ilow iska caabbinta biyaha.

La yaqaan:

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

Waqtiga dhacay (t) = 2 ilbiriqsi

Dardargelinta cufisjiidadka (g) = 10 m/s ²

La Doonayo: Xawaaraha kama dambaysta ah (v _t )

Xalka:

Dardargelinta 10 m/s ² macnaheedu waa kordhinta xawaaraha 10 m/s ilbiriqsikiiba. 3 ilbiriqsi ka dib, xawaaruhu wuxuu noqonayaa 30 m/s.

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

Isle'egyada kinematic-ka ee dhaqdhaqaaqa xawaareynta joogtada ah , sida hoos ku cad:

v _t = v _o + at ………. 1

h = v _o t + ½ marka la gaaro ² ………. 2

v _t ² = v _o ² + 2 ah………. 3

v _t = v _o + g t

v _t = 10 + (10)(2)

v _t = 10 + 20 = 30 m/s

Xawaaraha kama dambaysta ah = v _t = 30 m/s

[irp]

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 (vo _o ) = 5 m/s

Waqtiga dhacay (t) = 2 ilbiriqsi

Dardargelinta cufisjiidadka awgeed (g) = 10 m/s ²

La rabay: dhererka buundada (h)

Xalka:

h = v _o t + ½ gt ²

h = (5)(2) + ½ (10)(2) ²

h = 10 + (5)(4)

h = 10 + 20

h = 30 mitir

[irp]

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 (vo _o ) = 10 m/s

Dardargelinta cufisjiidadka (g) = 10 m/s ²

La doonayo:

(a) Muddada (t)

(b) Xawaaraha kama dambaysta ah (v _t )

Xalka:

(a) Muddada (t)

Xawaaraha kama dambaysta ah:

v _t ² = v _o ² + 2 gh

v _t ² = (10) ² + 2(10)(80) = 100 + 1600 = 1700

v _t = 41 m/s

Muddada (t):

v _t = v _o + g t

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 = 41 m/s

[irp]

[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