1. Gaari 5000-kg ah ayaa ka soo kabanaya nasashada ilaa 20 m/s. Go'aami shaqada saafiga ah ee lagu sameeyay gaariga.
La yaqaan:
Cufnaanta (m) = 5000 kg
Xawaaraha bilowga ah (vo ) = 0 m/s ( nasashada gaariga )
Xawaaraha kama dambaysta ah (v t ) = 20 m/s
La doonayo : shabakad
Xalka:
Mabda'a tamarta shaqada-kinetic :
W net = Δ EK
W net = ½ m (v t 2 - v o 2 )
W shabaq = shaqada saafiga ah
Δ EK = isbeddelka tamarta dhaqdhaqaaqa
m = cufnaan (kg),
v t = xawaaraha kama dambaysta ah (m/s),
v o = xawaaraha bilowga ah (m/s).
Shabakad:
W net = ½ m (v t 2 - v o 2 )
W net = ½ (5000) (20 2 - 0 2 )
W shabaq = (2500)(400 – 0)
W shabaq = (2500)(400)
W net = 1000,000 Joule
2. Shay 10-kg ah oo xawaare sare u kacay 5 m/s ilaa 10 m/s. Go'aami shaqada saafiga ah ee lagu sameeyay shayga!
La yaqaan:
Cufnaanta (m) = 10 kg
Xawaaraha bilowga ah (vo o ) = 5 m/s
Xawaaraha kama dambaysta ah (v t ) = 10 m/s
La doonayo : shabakad
Xalka:
Shabakad:
W net = Δ EK
W net = ½ m (v t 2 - v o 2 )
W net = ½ (10) (10 2 - 5 2 )
W shabaq = (5)(100 – 25)
W shabaq = (5)(75)
W net = 375 Joule
3. Gaari 2000-kg ah ayaa hoos u dhacaya 10 m/s ilaa 5 m/s. Waa maxay shaqada laga qabto gaariga?
La yaqaan:
Culeyska gaariga (m) = 2000 kg
Xawaaraha bilowga ah (vo o ) = 10 m/s
Xawaaraha kama dambaysta ah (v t ) = 5 m/s
La doonayo: shabakad
Xalka:
Shabakad:
W net = Δ EK
W net = ½ m (v t 2 - v o 2 )
W net = ½ (2000) (5 2 - 10 2 )
W shabaq = (1000)(25 – 100)
W shabaq = (1000)(-75)
W shabaq = -75,000 Joule
Calaamadda laga jaray waxay muujinaysaa in jihada barokaca ay ka soo horjeeddo jihada xoogga saafiga ah.
4. Xoog joogto ah oo 60-N ah oo lagu saaray shay 10-kg ah muddo 12 ilbiriqsi ah. Xawaaraha bilowga ah ee shay waa 6 m/s jihada shaygana waa la mid ah jihada xoogga.
(1) Shaqada lagu sameeyo shayga waa 30,240 Joules
(2) Tamarta dhaqdhaqaaqa ugu dambeysa waa 30,240 joules
(3) Awooddu waa 2,520 Watt
(4) Kordhinta tamarta dhaqdhaqaaqa ee shayga waa 180 Joules
Weedhaha saxda ah waa…
La yaqaan:
Xoogga (F) = 60 N
Muddada (t) = 12 ilbiriqsi
Cufka shayga (m) = 10 kg
Xawaaraha bilowga ah (vo o ) = 6 m/s
La Doonayo: Weedhaha saxda ah
Xalka:
Dardargelinta shayga:
∑F = ma
60 = 10 a
a = 60 / 10 = 6 m/s 2
Xawaaraha ugu dambeeya:
v t = v o + at
v t = 6 + (6)(12)
v t = 6 + 72
v t = 78 m/s
Masaafada lagu safray 12 ilbiriqsi gudahood:
s = v o t + 1/2 at 2
s = (6)(12) + 1/2 (6)(12) 2
s = 72 + (3)(144)
s = 72 + 432
s = 504 mitir
(1) Shaqada lagu qabtay xoog
W = F s = (60)(504) = 30,240 Joules
(2) Tamarta dhaqdhaqaaqa ugu dambeysa
KE = 1/2 mv t 2 = 1/2 (10) (78) 2 = (5) (6084) = 30,420 Joules
(3) Awood
P = W / t = 30,240 / 12 = 2,520 Joules/ilbiriqsi
(4) Kordhinta tamarta dhaqdhaqaaqa
ΔKE = 1/2 mv t 2 - 1/2 mv o 2 = 1/2 m
ΔKE = 30,240 Joule
5. Shaqada weyn waxaa lagu sameeyaa lambarka shayga…
Xalka:
Shaqada saafiga ah = isbeddelka tamarta dhaqdhaqaaqa
W net = ½ m (v t 2 - v o 2 )
Shaqada weyn:
W 1 = ½ (8)(4 2 – 2 2 ) = (4)(16 – 4) = (4)(12) = 48 Joules
W 2 = ½ (8)(5 2 –3 2 ) = (4)(25 – 9) = (4)(16) = 64 Joules
W 3 = ½ (10)(6 2 – 5 2 ) = (5)(36 – 25) = (5)(11) = 55 Joules
W 4 = ½ (10)(4 2 – 0 2 ) = (5)(16 – 0) = (5)(16) = 80 Joules
W 5 = ½ (20)(3 2 – 3 2 ) = (10)(9 – 9) = (10)(0) = 0 Joules
6. Gaari 4000-kg ah ayaa ku socda xariiq toosan 25 m/s. Gaarigu wuu yareeyaa si xawaaraha ugu dambeeya ee gaarigu u noqdo 15 m/s. Waa maxay shaqada laga qabtay gaariga.
La yaqaan:
Cufnaanta (m) = 4000 kg
Xawaaraha bilowga ah (v o ) = 25 m/s
Xawaaraha ugu dambeeya (v t ) = 15 m/s
La Raadinayo : Shaqada lagu qabtay gaariga
Xalka:
Shabaq W = ½ m (v t 2 – vo o 2 ) = ½(4000)(15 2 -25 2 ) = (2000)(225-625) = (2000)(-400) = -800,000 Joules = -800 kJ
7. 0.1-kg oo si toosan loo tuuray 6 m/s laga bilaabo dhererka 5 mitir. Haddii dardargelinta cufisjiidadka ay tahay 10 m/s 2 , markaa waa maxay tamarta dhaqdhaqaaqa ee kubbadda dhererka 2 mitir.
La yaqaan:
Cufnaanta (m) = 0.1 kg
Isbeddelka dhererka (s) = 5 m – 2 m = 3 mitir
Dardargelinta cufisjiidadka awgeed (g) = 10 m/s 2
La Doonayo: Tamarta dhaqdhaqaaqa oo dhererkeedu yahay 2 mitir.
Xalka:
Dhaqdhaqaaqa matoorka waxaa lagu fahmi karaa iyadoo si gaar ah loo falanqeeyo qaybaha toosan iyo kuwa toosan ee dhaqdhaqaaqa. Dhaqdhaqaaqa jihada toosan ayaa lagu falanqeeyay dhaqdhaqaaqa xawaaraha joogtada ah iyo dhaqdhaqaaqa jihada toosan ee lagu falanqeeyay dhaqdhaqaaqa hoos u dhaca xorta ah ama dhaqdhaqaaqa toosan.
Tamarta farsamada ee bilowga ah = tamarta awoodda cufisjiidadka.
PE = mgh = (0.1)(10)(3) = 3 Joules.
Tamarta farsamada ee ugu dambeysa = tamarta dhaqdhaqaaqa.
KE = 3 Joules.
8. Gaari 1000-kg ah ayaa ka soo kaca nasashada wuxuuna ku socdaa 5 m/s. Waa maxay shaqada uu qabto gaarigu?
La yaqaan:
Cufnaanta (m) = 1000 kg
Xawaaraha bilowga ah (v o ) = 0
Xawaaraha kama dambaysta ah (v t ) = 5 m/s
La Doonayo: Shaqada (W) ee lagu qabtay gaari
Xalka:
W net = ½ m (v t 2 - v o 2 )
Shaqada lagu sameeyo gaariga:
Shabaq W = ½ (1000)(5 2 – 0 2 ) = (500)(25 – 0) = (500)(25) = 12,500 Joules
9. Kubbad 500-garaam ah ayaa si toosan kor looga soo tuurayaa dusha sare ee dhulka iyadoo xawaare bilow ah uu yahay 10 m/s 2. Dardargelinta cufisjiidadka awgeed waa 10 ms -2 . Waa maxay shaqada ay qabato xoogga miisaanka marka kubbadu gaarto dhererka ugu badan.
La yaqaan :
Cufka kubbadda (m) = 500 garaam = 0.5 kg
Xawaaraha bilowga ah (vo o ) = 10 m/s 2
Xawaaraha kama dambaysta ah (v t ) = 0 (xawaaraha meesha ugu sarreysa)
Dardargelinta cufisjiidadka awgeed (g) = 10 m/s 2
La Doonayo: Shaqada (W) ku samee miisaanka
Xalka:
Shaqada saafiga ah ee ay sameeyaan xoogga saafiga ah ee ku jira shay = isbeddelka tamarta dhaqdhaqaaqa.
W net = ΔEK = EK t – EK o
Wnet = ½ mv t 2 - ½ mv o 2 = ½ m (v t 2 - v o 2 )
KE t = tamarta dhaqdhaqaaqa ugu dambeysa, KE o = tamarta dhaqdhaqaaqa bilowga ah, m = cufka shayga, v t = xawaaraha ugu dambeeya ee shayga, v o = xawaaraha bilowga ah ee shayga.
Shabakad:
Shabaq W = ½ m (v t 2 - v o 2 ) = ½ (0.5) (0 2 - 10 2 )
Shabaq W = (0.25)(-100) = -25 Joules
Calaamadda laga jaray waxay muujinaysaa in jihada barokaca ay ka soo horjeedo miisaanka kubadda. Jihada kubbadu waa toosan tahay jihada miisaankuna waa toosan tahay.
10. Shay 1-kg ah oo aan lahayn ayaa hoos u dhacaya iyadoo farqiga dhererka uu yahay = 2.5 mitir. Dardargelinta cufisjiidadka awgeed waa 10 ms -2 . Waa maxay shaqada laga qabtay shayga?
La yaqaan:
Cufka kubadda (m) = 1 kg
Xawaaraha bilowga ah (vo o ) = 0 m/s
Dhererka (h) = 2.5 mitir
Dardargelinta cufisjiidadka awgeed (g) = 10 m/s 2
La Doonayo: Shaqada saafiga ah inta lagu jiro barakaca
Xalka:
Xawaaraha ugu dambeeya ee kubadda (v t )
Waxaa lagu xisaabiyay iyadoo la adeegsanayo isle'egta dhaqdhaqaaqa xorta ah ee dhicitaanka. La yaqaan: Dardargelinta cufisjiidadka awgeed (g) = 10 m/s 2 , Isbeddelka dhererka kubbadda (h) = 2.5 mitir. La doonayo: Xawaaraha kama dambaysta ah.
v t 2 = 2 gh = 2(10)(2.5) = 2(25)
v t = √2(25)
v t = 5√2
Shaqada saafiga ah = isbeddelka tamarta dhaqdhaqaaqa
W net = ΔEK = ½ m (v t 2 - v o 2 ) = ½ (1) {(5√2) 2 - 0 2 }
Shabaq W = ½ (25)(2) = 25 Joule
11. Shay 2-kg ah ayaa ku socda 72 km/saacaddii. Ka dib marka uu socdo 400 mitir, xawaaraha ugu dambeeya ee shaygu waa 144 km/saacaddii. Dardargelinta cufisjiidadka awgeed waa 10 ms -2 . Soo hel shaqada saafiga ah.
La yaqaan:
Cufka shayga (m) = 2 kg
Xawaaraha bilowga ah (v o ) = 72 km/saacaddii = 20 m/s
Xawaaraha kama dambaysta ah (v t ) = 144 km/saacaddii = 40 m/s
Masaafada (yada) = 400 mitir
Dardargelinta cufisjiidadka awgeed (g) = 10 m/s 2
La Raadinayo: Shabakadda
Xalka:
Shaqada saafiga ah = isbeddellada tamarta dhaqdhaqaaqa
W net = ΔEK = ½ m (v t 2 - v o 2 ) = ½ (2) (40 2 - 20 2 )
Shabaq W = ½ (2)(1600 – 400) = 1200 Joules
12. Shay 2-kg ah ayaa ku socda 2 ms –1 . Shaqada lagu sameeyay shayga waa 21 Joules. Waa maxay xawaaraha ugu dambeeya ee shayga.
La yaqaan:
Cufnaanta (m) = 2 kg
Xawaaraha bilowga ah (vo o ) = 2 m/s
Shaqada (W) = 21 Joule
La rabay: xawaaraha kama dambaysta ah (v t )
Xalka:
W net = ΔEK
Shabaq W = 1/2 mv t 2 -1/2 mv o 2
W net = 1/2 m (v t 2 - v o 2 )
21 = 1/2 (2) (v t 2 – 2 2 )
21 = (v t 2 – 2 2 )
21 = v t 2 – 4
v t 2 = 21 + 4 = 25
v t = √25
v t = 5 m/s
1 3. Xoog joogto ah oo 8 N ah ayaa ku shaqeeya shay miisaankiisu yahay 16 kg. Haddii shaygu markii hore nasto, markaa go'aami xawaaraha shayga ka dib marka xooggu ku shaqeeyo shayga muddo 4 ilbiriqsi ah.
La yaqaan:
Xoogga joogtada ah (F) = 8 Newton
Cufka shayga (m) = 16 kg
Xawaaraha bilowga ah ee shayga (vo o ) = 0 m/s
Xoogga muddada u dhaxaysa wuxuu ku shaqeeyaa shayga (t) = 4 ilbiriqsi
La Doonayo: Xawaaraha ugu dambeeya (v t )
Xalka:
Shaqada = Isbeddelka tamarta dhaqdhaqaaqa
W = KE kama dambaysta ah – KE bilowga
W = ½ mv t 2 – ½ mv o 2
W = ½ mv t 2 – 0
W = ½ mv t 2 —— Isle'egta 1
Shaqada = Xoog x Barakac
W = F d
W = 8 d
Adeegso isle'egta dhaqdhaqaaqa toosan ee aan isku mid ahayn ee hoose si aad u xisaabiso barokaca (d):
d = v o t + ½ marka la gaaro 2
d = barokac, v o = xawaaraha bilowga ah, t = muddada u dhaxaysa, a = dardargelinta
d = 0 + ½ marka 2 = ½ marka 2 —-> a = (v t – v o ) / t = v t / t
d = ½ (v t / t) t 2
d = ½ (v t ) t
Beddel barokaca (d) marka la eego isle'egta Shaqada leh barokaca (d) ee isle'egtan:
W = 8 d
W = 8(1/2)(v t )(t)
W = (4)(v t )(t) —— isle'egta 2
Isle'egta 1 = Isle'egta 2
W = W
½ mv t 2 = (4)(v t )(t)
½ mv t = (4)(t)
½ (16)(v t ) = 4(4)
8 v t = 16
v t = 16/8
v t = 2 mitir/ilbiriqsi
14. Si aad u kordhiso xawaaraha shay, u beddel 2 jeer xawaaraha bilowga ah, go'aami shaqada looga baahan yahay habka…
La yaqaan:
Cufka shayga (m) = 1 kg
Xawaaraha bilowga ah (vo o ) = 1 m/s
Xawaaraha kama dambaysta ah (v t ) = 2 x xawaaraha bilowga ah = 2 x 1 = 2 m/s
La Doonayo: Shaqo
Xalka:
Tamarta dhaqdhaqaaqa bilowga ah:
KE bilowga ah = ½ mv o 2 = ½ (1) (1) 2 = ½ (1) (1) = ½ (1) = 0.5
Tamarta dhaqdhaqaaqa ugu dambeysa marka xawaaraha shaygu uu noqdo 2 jeer xawaarihiisa hore:
KU kama dambaysta = ½ mv t 2 = ½ (1)(2) 2 = ½ (4) = 2
Aragtida tamarta shaqada-kinetic-ga:
Shaqada = Isbeddelka tamarta dhaqdhaqaaqa
Shaqada = Tamarta dhaqdhaqaaqa ugu dambeysa - tamarta dhaqdhaqaaqa bilowga ah
Shaqada = 2 – 0.5
Shaqada = 1.5
Tamarta dhaqdhaqaaqa bilowga ah = 0.5
Shaqada = 3 x 0.5 = 1.5
Shaqada loo baahan yahay waa 3 jeer ka badan tamartii hore ee dhaqdhaqaaqa.
15. Gaari culeyskiisu yahay 1500 kg ayaa ku socda xawaare dhan 36 km/saacaddii waddo toosan oo siman. Gaarigu wuxuu u socday 72 km/saacaddii. Go'aami shaqada loo baahan yahay si loo dedejiyo gaariga.
La yaqaan:
Culeyska gaariga (m) = 1500 kg
Xawaaraha bilowga ah ee gaariga (v o ) = 36 km/saacaddii = 36,000 mitir / 3600 ilbiriqsi = 10 mitir/ilbiriqsi
Xawaaraha ugu dambeeya ee gaariga (v t ) = 72 km/saacaddii = 72,000 mitir / 3600 ilbiriqsi = 20 mitir/ilbiriqsi
La Doonayo: Shaqada loo baahan yahay si loo dedejiyo gaariga
Xalka:
Aragtida tamarta shaqada-kinetic-ga:
W = EK kama dambays ah - EK bilow ah
W = ½ mv t 2 – ½ mv o 2 = ½ m (v t 2 –v o 2 )
W = ½ (1500)(20 2 – 10 2 )
W = ½ (1500)(400 – 100)
W = ½ (1500)(300)
W = (1500)(150)
W = 225,000 Joules
16. Shay culeyskiisu yahay 2 kg ayaa marka hore ku socda xawaare dhan 72 km.saacad -1 . Ka dib marka uu ku socdo waddo toosan oo toosan ilaa 400 m, xawaaraha shaygu waa 144 km.saacad -1 . Go'aami wadarta shaqada shayga.
La yaqaan:
Cufka shayga (m) = 2 kg
Xawaaraha bilowga ah (vo o ) = 72 km/saacaddii = 72,000 mitir / 3600 ilbiriqsi = 20 m/s
Xawaaraha kama dambaysta ah (v t ) = 144 km/saacaddii = 144,000 mitir / 3600 ilbiriqsi = 40 m/s
Barakaca shayga = 400 mitir
La Doonayo: Shaqada saafiga ah ee shayga
Xalka:
Aragtida tamarta shaqada-kinetic-ga waxay sheegaysaa in shaqada shabakadu ay ku shaqeyso shay la mid ah isbeddelka tamarta kinetic-ga ee shayga.
W net = KU GUULEYSTAHA – KU GUULEYSTAHA bilowga
Shabaq W = ½ mv t 2 – ½ mv o 2
W net = ½ m (v t 2 - v o 2 )
Shabaq W = ½ (2) (40 2 - 20 2 )
Shabaq W = 1600 – 400
W net = 1200 Joule
Description:
W = Shaqada, KE = tamarta dhaqdhaqaaqa
Tamarta Kinetic
17. Xabad 10-gram ah oo ku socota xawaare joogto ah 100 m/s. Waa maxay tamarta dhaqdhaqaaqa ee rasaasta.
La yaqaan:
Cufka rasaasta (m) = 10 garaam = 10/1000 kiilo garaam = 1/100 kiilo garaam = 0.01 kiilo garaam
Xawaaraha rasaasta (v) = 100 mitir/ilbiriqsi
La Doonayo: Tamarta Kinetic-ga
Xalka:
KE = 1/2 mv 2
KE = 1/2 (0,01 kg)(100 m/s) 2
KE = 1/2 (0,01 kg)(10.000 m 2 /s 2 )
KE = (0,01 kg)(5000 m 2 /s 2 )
KE = 50 kg m 2 / s 2
KE = 50 Joule
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- Shaqada ay qabteen dhibaatooyinka iyo xalalka xoogga
- Dhibaatooyinka iyo xalalka tamarta shaqada-kinetic-ka
- Dhibaatooyinka iyo xalalka mabaadi'da tamarta shaqada-farsamada
- Dhibaatooyinka tamarta ee cufisjiidadka iyo xalalka
- Tamarta suurtagalka ah ee dhibaatooyinka guga dabacsan iyo xalalka
- Dhibaatooyinka korontada iyo xalalka
- Adeegsiga ilaalinta tamarta farsamada si loogu dhaqaaqo dhaqdhaqaaqa dhicitaanka xorta ah
- Adeegsiga ilaalinta tamarta farsamada ee dhaqdhaqaaqa kor iyo hoos ee dhaqdhaqaaqa dhicitaanka xorta ah
- Adeegsiga ilaalinta tamarta farsamada ee dhaqdhaqaaqa dusha qaloocan
- Adeegsiga ilaalinta tamarta farsamada ee dhaqdhaqaaqa diyaarad janjeerta
- Adeegsiga ilaalinta tamarta farsamada ee dhaqdhaqaaqa gantaalada
