Tusaale dhaqdhaqaaq toosan oo si siman u degdegsan

10 Tusaalooyin dhaqdhaqaaq toosan oo si siman u degdegsan

1. Gaarigu marka hore waa mid aan dhaqdhaqaaq lahayn. 10 ilbiriqsi ka dib, xawaaraha gaarigu wuxuu gaarayaa 20 m/s. Go'aami xawaaraha gaariga!
Dood
Qaacido ma jirto (isticmaal macquul) :
Xawaaraha gaadhigu wuxuu isu beddelaa 20 m/s 10 ilbiriqsi ka dib. Taas macnaheedu waa in xawaaraha gaadhigu uu kordho 2 m/s ilbiriqsi kasta. Markaa, dardargelinta gaadhigu waa 2 m/s ilbiriqsi kasta = 2 m/s ilbiriqsi kasta = 2 m/s².
Isticmaalka qaacidada :
Waa la ogyahay in:
Xawaaraha bilowga ah (v)_o) = 0 (gaarigu waa mid taagan)
Muddada (t) = 10 ilbiriqsi
Xawaaraha kama dambaysta ah (v)_t) = 20 m/s
La weydiiyay: dardargelinta gaariga (a)
Jawaab:
Sababtoo ah waa la yaqaan v_o,v_t, t oo la weydiiyey ka dibna isticmaal qaacidada GLBB v_t = vo + at
v_t =v_o + at
20 = 0 + (a)(10)
20 = 10 a
a = 20/10
a = 2 m/s²
Baaxadda xawaaraha gaariga waa 2 m/s²Taas macnaheedu waa in xawaaraha gaarigu uu kordho 2 m/s 1 ilbiriqsi kasta.

2. Gaarigu wuxuu marka hore ku socdaa xawaare dhan 30 m/s isagoo yareynaya xawaarihiisa ilaa uu istaago 10 ilbiriqsi ka dib. Cabbirka gaabiska gaariga waa...
Dood
Iyada oo aan lahayn qaacido (isticmaal macquul):
Xawaaraha gaadhigu wuxuu hoos uga dhacaa 30 m/s ilaa 0 m/s muddo 10 ilbiriqsi gudahood ah. Taas macnaheedu waa in xawaaraha gaadhigu hoos u dhaco 3 m/s ilbiriqsi kasta. Markaa, xawaaraha gaadhigu waa 2 m/s ilbiriqsi kasta = 3 m/s.².
Isticmaalka qaacidada:
Waa la ogyahay in:
Xawaaraha bilowga ah (v)_o) = 30 m/s
Xawaaraha kama dambaysta ah (v)_t= 0
Muddada (t) = 10 ilbiriqsi
Waxaa la weydiiyay: hoos u dhac (a)?
Jawaab:
Sababtoo ah waa la yaqaan v_o,v_t, t oo la weydiiyey ka dibna isticmaal qaacidada GLBB v_t = vo + at
v_t =v_o + at
0 = 30 + (a)(10)
– 30 = 10 a
a = – 30 / 10
a = 3 m/s²
Baaxadda xawaaraha gaariga waa -3 m/s²Taas macnaheedu waa in xawaaraha gaadhigu uu hoos u dhaco 3 m/s 1 ilbiriqsi kasta. Calaamadda taban waxay muujinaysaa in xawaaraha gaadhigu uu hoos u dhaco.

3. Shay marka hore nasasho ku jira ayaa dhaqaaqa xawaare joogto ah oo ah 4 m/s.². Go'aami xawaaraha iyo masaafada la safray 10 ilbiriqsi ka dib.
Dood
(a) Xawaaraha
Dardargelinta 4 m/s² Taas macnaheedu waa xawaaraha shayga wuxuu kordhaa 4 m/s 1 ilbiriqsi kasta. 2 ilbiriqsi ka dib, xawaaraha shayga wuxuu noqdaa 8 m/s. 10 ilbiriqsi ka dib, xawaaraha shayga wuxuu noqdaa 40 m/s.
(b) Masaafada la safray
Xawaaraha bilowga ah (v)_o= 0
Xawaaraha kama dambaysta ah (v)_t) = 40 m/s
a = 4 m/s²

Masaafada:
s = v_o t + ½ at² = 0 + ½ (4)(10)²) = (2)(100) = 200 mitir
4. Shay marka hore ku socda xawaare joogto ah oo ah 10 m/s wuxuu la kulmaa hoos u dhac joogto ah oo ah 2 m/s.² ilaa uu joogsado. Go'aami inta u dhaxaysa wakhtiga iyo masaafada uu gaarigu socdo ka hor inta uusan istaagin.
Dood
Waa la ogyahay in:
Xawaaraha bilowga ah (v)_o) = 10 m/s
Dardargelinta (a) = -2 m/s² (haddii ay gaabis tahay markaa waxaa la siinayaa calaamad taban)
Xawaaraha kama dambaysta ah (v)_t) = 0 (shaygu wuu joogsadaa dhaqdhaqaaqa)
Su'aal: waqtiga iyo masaafada la safray kahor inta uusan gaarigu istaagin.
Jawaab:
(a) Waqtiga kala-goynta
Sababtoo ah waa la yaqaan v_o,v_t, a oo la weydiistay t ka dibna isticmaal qaacidada GLBB v_t =v_o + at
v_t =v_o + at
0 = 10 + (-2)(t)
0 = 10 – 2 t
10 = 2 t
t = 10 / 2 = 5 ilbiriqsi
Waqtiga u dhexeeya ka hor inta aan la joojin = 5 ilbiriqsi.
(b) Masaafada la safray
v_t² =v_o² + 2 dhidib
= 0 10² + 2(-2) s
0 = 100 – 4 ilbiriqsi
100 = 4 ilbiriqsi
s = 100 / 4 = 25 mitir
Masaafada uu gaarigu socday ka hor inta uusan istaagin waxay ahayd 25 mitir

5. Gaari marka hore ku socda xawaare dhan 40 m/s wuxuu la kulmaa hoos u dhac joogto ah oo ah 4 m/s.². Go'aami xawaaraha iyo masaafada uu gaarigu safray ka dib markaad dareento hoos u dhac muddo 10 ilbiriqsi ah.
Dood
Waa la ogyahay in:
Xawaaraha bilowga ah (v)_o) = 40 m/s
Dardargelinta (a) = -4 m/s²
Muddada (t) = 10 ilbiriqsi
La weydiiyay: xawaare (v)_t) iyo masaafada (yada) ka dib hoos u dhaca muddo 10 ilbiriqsi ah
Jawaab:
(a) Xawaaraha kama dambaysta ah
v_t =v_o + at = 40 + (-4)(10) = 40 – 40 = 0 m/s
Ka dib marka uu hoos u dhaco muddo 10 ilbiriqsi ah, xawaaraha gaarigu wuxuu isu beddelaa 0 ama gaarigu wuu joogsadaa.
(b) Masaafada la safray
s = v_o t + ½ at² = (40)(10) + ½ (-4)(10)²) = 400 + (-2)(100) = 400 – 200 = 200 mitir
Masaafada uu gaarigu u socdo ka dib marka uu qaboojiyo muddo 10 ilbiriqsi ah ilaa uu istaago waa 200 mitir.
6. Xawaaraha (v) ee shay ku socda xariiq toosan wuxuu la mid yahay waqtiga (t) sida ku cad garaafka v-t. Masaafada uu walaxdu ku safray 5 ilbiriqsi gudahood waa…

Dood
Masaafada la safray (yada) = vt = (10-0)(5-0) = (10)(5) = 50 mitir
7. Garaafka dhinaca ku yaal wuxuu muujinayaa dhaqdhaqaaqa gaari ku socda xariiq toosan oo xawaare joogto ah leh. Masaafada uu gaarigu ku safray 4 ilbiriqsi gudahood waa….

Dood
Masaafada la safray = bedka labajibbaaran + bedka saddexagalka
Masaafada la safray = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = 96 mitir
8. Garaafka dhinaca ku yaal wuxuu muujinayaa gaari ku socda xariiq toosan oo xawaare joogto ah leh. Masaafada uu gaarigu ku safray 4 ilbiriqsi gudahood waa….

Dood
Masaafada la safray = bedka saddexagalka = ½ (4-0)(8-0) = ½ (4)(8) = 16 mitir

9. Eeg jadwalka soo socda!

Shaxda kore waxay muujinaysaa saddex shay oo ku socda xariiq toosan oo leh heer joogto ah oo daboolaya masaafada isku mid ah. Xawaaraha ugu dambeeya P iyo xawaaraha bilowga ah ee Q ee walxaha waa….

A. 20 ms ^-1 iyo 20 ms ^-1

B. 20 ms ^-1 iyo 28 ms ^-1

C. 20 ms ^-1 iyo 40 ms ^-1

D. 40 ms ^-1 iyo 20 ms ^-1

E. 40 ms ^-1 iyo 40 ms ^-1

Dood

Masaafada la safray waa isku mid, marka hore xisaabi masaafada uu ku safray shayga lambarka 3aad.

Masaafada ay ku safreen shayga lambarka 3aad:

Waa la ogyahay in:

Xawaaraha bilowga ah (vo _o ) = 0 m/s

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

Dardargelinta (a) = 3 m/s ²

La weydiiyay : Masaafada

Jawaab:

v _t ² = v _o ² + 2 sida

v _t ² – v _o ² = 2 sida

30 ² – 0 ² = 2 (3) s

900 – 0 = 6 ilbiriqsi

900 = 6 ilbiriqsi

s = 900 / 6

s = 150 mitir

Xawaaraha ugu dambeeya ee shayga lambarka 1aad:

Waa la ogyahay in:

Xawaaraha bilowga ah (vo _o ) = 20 m/s

Dardargelinta (a) = 4 m/s ²

Masaafada (yada) = 150 mitir

Su'aal : Xawaaraha kama dambaysta ah (v _t )

Jawaab:

v _t ² = v _o ² + 2 sida

v _t ² = 20 ² + 2 (4)(150)

v _t ² = 400 + 1200

v _t ² = 1600

v _t = 40 m/s

Xawaaraha bilowga ah ee shayga lambarka 2:

Waa la ogyahay in:

Xawaaraha kama dambaysta ah (v _t ) = 50 m/s

Dardargelinta (a) = 3 m/s ²

Masaafada (yada) = 150 mitir

Su'aal : Xawaaraha bilowga ah (v _o )

Jawaab:

v _t ² = v _o ² + 2 sida

v _t ² – 2 sida = v _o ²

50 ² – 2(3)(150) = v _o ²

2500 – 900 = v _o ²

1600 = v _o ²

v _o = 40 m/s

Jawaabta saxda ah waa E.

10. Saddex shay ayaa ku socda xariiq toosan oo leh xawaare joogto ah oo dusha sare ah. Saddexda shayba waxay ku socdaan xawaare isku mid ah. Cabbirka saddexda shay ka dib markay dhaqaaqaan 10 ilbiriqsi waxaa lagu muujiyay jadwalka soo socda:

Xogta P iyo Q ee jadwalka ku jirta waxay leeyihiin qiimaha….

A. 6 iyo 140

B. 6 iyo 120

C. 4 iyo 120

D. 4 iyo 100

E. 1 iyo 100

Dood

Dardargelinta saddexda shay waa isku mid, sidaa darteed marka hore xisaabi dardargelinta shayga 1aad.

Dardargelinta shayga 1aad:

Waa la ogyahay in:

Xawaaraha bilowga ah (vo _o ) = 2 m/s

Xawaaraha kama dambaysta ah (v _t ) = 22 m/s

Masaafada (yada) = 120 mitir

La weydiiyay : Masaafada

Jawaab:

v _t ² = v _o ² + 2 sida

v _t ² – v _o ² = 2 sida

22 ² – 2 ² = 2 a (120)

484 – 4 = 240 a

480 = 240 a

a = 480/240

a = 2 m/s ²

Xawaaraha bilowga ah ee shayga 2:

Waa la ogyahay in:

Dardargelinta (a) = 2 m/s ²

Xawaaraha kama dambaysta ah (v _t ) = 24 m/s

Masaafada (yada) = 140 mitir

Su'aal : Xawaaraha bilowga ah (v _o )

Jawaab:

v _t ² = v _o ² + 2 sida

24 ² = v _o ² + 2 (2)(140)

576 = v _o ² + 560

576 – 560 = v _o ²

16 = v _o ²

v _o = 4 m/s

Masaafada shayga 3aad:

Waa la ogyahay in:

Xawaaraha bilowga ah (vo _o ) = 0 m/s

Xawaaraha kama dambaysta ah (v _t ) = 20 m/s

Dardargelinta (a) = 2 m/s ²

La weydiiyay : Masaafada ( s )

Jawaab:

v _t ² = v _o ² + 2 sida

20 ² = 0 ² + 2 (2) s

20 ² = 2 (2) s

400 = 4 ilbiriqsi

s = 400/4

s = 100 mitir

Jawaabta saxda ah waa D.

Su'aalo ku saabsan dhaqdhaqaaqa toosan ee si siman loo dardargeliyay

1. Gaarigu marka hore waa mid aan dhaqdhaqaaq lahayn. 5 ilbiriqsi ka dib, xawaaraha gaarigu wuxuu gaarayaa 15 m/s. Go'aami xawaaraha gaariga!
2. Gaarigu wuxuu marka hore ku socdaa xawaare dhan 24 m/s isagoo yareynaya xawaarihiisa ilaa uu istaago 3 ilbiriqsi ka dib. Cabbirka gaabiska gaariga waa...
3. Shay marka hore nasasho ku jira ayaa dhaqaaqa xawaare joogto ah oo ah 5 m/s.². Go'aami xawaaraha iyo masaafada la safray 10 ilbiriqsi ka dib.
4. Shay marka hore ku socda xawaare joogto ah oo ah 5 m/s wuxuu la kulmaa hoos u dhac joogto ah oo ah 5 m/s.² ilaa uu joogsado. Go'aami inta u dhaxaysa wakhtiga iyo masaafada uu gaarigu socdo ka hor inta uusan istaagin.
5. Gaari marka hore ku socda xawaare dhan 30 m/s wuxuu la kulmaa hoos u dhac joogto ah oo ah 5 m/s.². Go'aami xawaaraha iyo masaafada uu gaarigu safray ka dib markaad dareento hoos u dhac muddo 5 ilbiriqsi ah.
6. Xawaaraha (v) ee shay ku socda xariiq toosan wuxuu la mid yahay waqtiga (t) sida ku cad garaafka v-t. Masaafada uu walaxdu ku safray 10 ilbiriqsi gudahood waa…

7. Garaafka dhinaca ku yaal wuxuu muujinayaa dhaqdhaqaaqa gaari ku socda xariiq toosan oo xawaare joogto ah leh. Masaafada uu gaarigu ku safray 4 ilbiriqsi gudahood waa….

8. Garaafka dhinaca ku yaal wuxuu muujinayaa gaari ku socda xariiq toosan oo xawaare joogto ah leh. Masaafada uu gaarigu ku safray 4 ilbiriqsi gudahood waa….

[Ingiriis: Dardargelin joogto ah - dhibaatooyin iyo xalal ]