Dhaqdhaqaaq leh dardargelin joogto ah - dhibaatooyinka iyo xalalka

Dhibaatooyinka lagu xalliyay Dhaqdhaqaaqa Toosan - Dardargelin joogto ah

1. Gaarigu wuxuu xawaareynayaa nasashada ilaa 20 m/s 10 ilbiriqsi gudahood. Go'aami xawaaraha gaariga!

Solution

La yaqaan:

Xawaaraha bilowga ah (v)_o) = 0 (nasasho)

Muddada (t) = 10 ilbiriqsi

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

rabay : Dardargelinta (a)

Xalka:

v_t =v_o + at

20 = 0 + (a)(10)

20 = 10 a

a = 20/10

a = 2 m/s²

2. Gaari ayaa ka gaabinaya 30 m/s si uu u nasto 10 ilbiriqsi gudahood. Go'aami xawaaraha gaariga.

Solution

La yaqaan:

Xawaaraha bilowga ah (v)_o) = 30 m/s

Xawaaraha kama dambaysta ah (v)_t= 0

Muddada (t) = 10 ilbiriqsi

La doonayo: dardargelinta (a)

Xalka:

v_t =v_o + at

0 = 30 + (a)(10)

– 30 = 10 a

a = – 30 / 10

a = -3 m/s²

Calaamadda taban ayaa soo muuqata sababtoo ah kama dambaysta xawaare waa ka yar xawaaraha bilowga ah.

3. Gaarigu wuu bilaabmaa oo wuu xawaareeyaa xawaare joogto ah 4 m/s² in 1 ilbiriqsi. Go'aami xawaaraha iyo masaafada 10 ilbiriqsi kadib.

Solution

(a) Xawaaraha

Dardargelinta 4 m/s² macnaheedu waa kordhinta xawaaraha 4 m/s 1 ilbiriqsi kasta. 2 ilbiriqsi ka dib, xawaaraha gaarigu waa 8 m/s. 10 ilbiriqsi ka dib, xawaaraha gaarigu waa 40 m/s.

(b) Masaafada

La yaqaan:

Xawaaraha bilowga ah (v)_o= 0

Xawaaraha kama dambaysta ah (v)_t) = 40 m/s

Dardargelinta (a) = 4 m/s²

La doonayo: masaafada

Xalka:

s = v_o t + ½ at² = 0 + ½ (4)(10)²) = (2)(100) = 200 mitir

4. Gaadhigu wuxuu ku socdaa xawaare joogto ah 10 m/s, ka dibna wuu yareeyaa xawaare joogto ah 2 m/s² ilaa nasasho. Go'aami waqtiga dhaafay iyo gaariga masaafada ka hor nasashada.

La yaqaan:

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

Dardargelinta (a) = -2 m/s² (Calaamadda taban waxay u muuqataa sababtoo ah xawaaraha kama dambaysta ah wuxuu ka yar yahay xawaaraha bilowga ah)

Xawaaraha kama dambaysta ah (v)_t) = 0 (nasasho)

La doonayo: Muddada iyo masaafada waqtiga

Xalka:

(a) Muddada (t)

v_t =v_o + at

0 = 10 + (-2)(t)

0 = 10 – 2 t

10 = 2 t

t = 10 / 2 = 5 ilbiriqsi

(b) Masaafada

v_t² =v_o² + 2 dhidib

= 0 10² + 2(-2) s

0 = 100 – 4 ilbiriqsi

100 = 4 ilbiriqsi

s = 100 / 4 = 25 mitir

5. Gaadhigu wuxuu ku socdaa 40 m/s, wuxuuna hoos u dhacaa xawaare joogto ah 4 m/s² ilaa inta nasashada. Go'aami xawaaraha iyo masaafada ka dib markaad yareyso 10 ilbiriqsi gudahood!

Solution

La yaqaan:

Xawaaraha bilowga ah (v)_o) = 40 m/s

Dardargelinta (a) = -4 m/s²

Muddada (t) = 10 ilbiriqsi

La doonayo: xawaaraha kama dambaysta ah (v)_t) iyo masaafada (yada)

Xalka:

(a) Xawaaraha kama dambaysta ah

v_t =v_o + at = 40 + (-4)(10) = 40 – 40 = 0 m/s

0 m/s macnaheedu waa nasashada gaariga.

(b) Masaafada

s = v_o t + ½ at² = (40)(10) + ½ (-4)(10)²) = 400 + (-2)(100) = 400 – 200 = 200 mitir

6. Go'aami masaafada 10 ilbiriqsi ka dib!

Solution

Masaafada: s = vt = (10-0)(5-0) = (10)(5) = 50 mitir

7. Go'aami masaafada 4 ilbiriqsi ka dib!

Solution

Masaafada = bedka labajibbaaran + bedka saddexagalka ah

Masaafada = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = 96 mitir

8. Go'aami masaafada gaariga 4 ilbiriqsi ka dib!

Solution

Masaafada = bedka saddex-xagalka ah = ½ (4-0)(8-0) = ½ (4)(8) = 16 mitir

9. Gaari ayaa 90 km/saacaddii ku socda gaari booliis ah oo istaagaya wadada dhinaceeda. Daqiiqad ka dib, gaariga booliisku wuu eryanayaa at 0.8 m / s²Inta uu gaadhiga booliisku gaadhiga gaadhoes gaariga?

La yaqaan:

Xawaaraha gaariga (v) = 90 km/saacaddii = 90,000 mitir / 3600 ilbiriqsi = 25 mitir/ilbiriqsi

Muddada (t) = 1 daqiiqo = 60 ilbiriqsi

Dardargelinta gaariga booliiska (a) = 0.8 m/s²

Xawaaraha bilowga ah ee gaariga booliiska (v_o) = 0 m/s

La doonayo: Masaafada uu baabuurku ku safray

Xalka:

Gaarigu wuxuu ku socdaa xawaare joogto ah. Masaafada uu baabuurku ku socdo:

Masaafada bilowga ah:

s = vt = (25)(60) = 1500 mitir

Masaafada kama dambaysta ah:

s = vt = (25)(t)

Wadarta masaafada = 1500 + 25 t

Gaariga booliiska ayaa si joogto ah u socda. Masaafada uu gaarigu maro:

s = v_o t + ½ at² = (0)(t) + ½ (0.8)(t)²) = 0 + 0.4 t² = 0.4 t²

Marka gaariga boolisku gaaro gaariga, masaafada uu gaariga boolisku maro waxay la mid tahay masaafada uu gaarigu maro.

Masaafada uu baabuurku ku safray = masaafada uu baabuur booliisku ku safray

1500 + 25 t = 0.4 t²

0.4 t² – 25 t – 1500 = 0

Isticmaal qaacidada labajibbaaran:

Masaafada uu gaarigu ku safray:

s = 0.4 t² = (0.4)(100)²) = (0.4)(10,000) = 4000 mitirs = 4 km

10. A baabuur dhaqaaqa 24 m/s si joogto ah biriiga si uu u yeesho hoos u dhac joogto ah oo ah 0.952 m/s². Go'aami xawaaraha gaariga aka dib masaafo dhan 250 meters.

La yaqaan:

Xawaaraha bilowga ah (v)_o) = 24 m/s

Dardar- (a) = – 0.952 m/s² (saxeexan taban sababtoo ah hoos u dhac)

masaafada (d) = 250 mitirs

La doonayo: Xawaaraha gaariga ka dib Mitirka 250s

Xalka:

La yaqaan: xawaaraha bilowga ah (v_o), dardargelinta (A), masaafada (d), la rabay: xawaaraha ugu dambeeya (v_t) markaa isticmaal isla'egta v_t² =v_o² +2 ah d

v_t = xawaaraha kama dambaysta ah,v_o = xawaaraha bilowga ah, a = dardargelinta, d = masaafada

v_t² = (24)² + (2)(-0.952)(250)

v_t² = 576 - 476

v_t² = 100

v_t = √100

v_t = 10m/s

[wpdm_package id='507′]

[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