Sawirada dhaqdhaqaaqa toosan - dhibaatooyinka iyo xalalka
1. Masaafada jaantuska (toosan) iyo waqtiga (joogto ah) sida ku cad sawirka hoose. Shay nasasho ah oo lagu muujiyay tiro…
Xalka:
Lambarka 3, oo lagu muujiyay xariiq toosan.
2. Xawaaraha garaafka (toosan) iyo muddada u dhaxaysa (jiidasho) ee dhaqdhaqaaqa xawaare joogto ah . Waa maxay baaxadda dardargelinta sida ku cad garaafka?
Xalka:
3. Qof ayaa gaari ku safray magaalada A una socda magaalada B, iyadoo lagu sawiray garaaf hoose. Xariiqda toosan sida xawaaraha iyo xariiqda toosan sida waqtiga u dhaxaysa. Waa maxay masaafada uu gaarigu ku safray 30 daqiiqo ilaa 60 daqiiqo.
La yaqaan:
Xawaaraha (v) = 40 km/saacaddii
Muddada u dhaxaysa (t) = 60 – 30 = 30 daqiiqo = 0.5 saacadood
La Raadinayo: Masaafada
Xalka:
Masaafada = xawaaraha x waqtiga u dhexeeya
Masaafada = (40 km/saacaddii) (0.5 saacadood)
Masaafada = 20 km
4. Xawaaraha jaantuska (xariiqda toosan) iyo muddada u dhaxaysa (xariiqda toosan) waxay sheegaysaa dhaqdhaqaaqa gaariga ka yimid nasashada ka dibna wuxuu u dhaqaaqaa ilaa uu joogsado 8 ilbiriqsi, sida ka muuqata sawirka hoose.
Waa maxay masaafada uu gaarigu maro laga bilaabo 5 ilbiriqsi ilaa 8 ilbiriqsi?
Xalka:
Bedka 1 = bedka CD-ga saddexagalka ah = ½ (6-5)(40-20) = ½ (1)(20) = 10
Aagga 2 = bedka saddexagalka DE = ½ (8-6) (20-0) = ½ (2) (20) = 20
Bedka 3 = Bedka labajibbaaran = (6-5)(20-0) = (1)(20) = 20
Masaafada uu gaarigu ku safray 5 ilbiriqsi ilaa 8 ilbiriqsi = 10 + 20 + 20 = 50 mitir.
5. Masaafada 5-tii ilbiriqsi ee ugu dambeysay sida ku cad jaantuska hoose waa ….
Xalka:
Bedka 1 = bedka saddexagalka = ½ (6-5)(40-20) = ½ (1)(20) = 10
Bedka 2 = bedka leydi = (9-5)(20-0) = (4)(20) = 80
Bedka 3 = bedka saddexagalka = ½ (10-9)(20-0) = ½ (1)(20) = 10
Masaafada 5-tii ilbiriqsi ee ugu dambeysay :
10 + 80 + 10 = 100 mitir
6. Xawaaraha garaafka iyo muddada u dhaxaysa dhaqdhaqaaqa toosan ee aan isku midka ahayn ee gaadhiga.
Xawaareyntaas oo kale waxay ka dhacdaa…
Xalka:
v t = v o + at
v t – v o = at
a = v t – v o / t
a = dardargelin, v t = xawaaraha kama dambaysta ah, v o = xawaaraha bilowga ah, t = muddada u dhaxaysa.
Dardargelinta AB = (25 – 20) / (20 – 0) = 5 / 20 = 1/4 = 0.25 m/s 2
Dardargelinta BC = (45 – 25) / (40 – 20) = 20/20 = 1 m/s 2
CD-ga Dardargelinta = (35 – 45) / (50 – 40) = 10 / 10 = 1 m/s 2
Dardargelinta DE = (25 – 35) / (70 – 50) = 10 / 20 = 1/2 = 0.5 m/s 2
Dardargelinta EF = (0 – 25) / (90 – 70) = 25/20 = 5/4 = 1.25 m/s 2
7. Waa maxay masaafada la safray 10 ilbiriqsi gudahood?
La yaqaan:
Xawaaraha bilowga ah (v)o= 0
Xawaaraha kama dambaysta ah (v t ) = 20 m/s
Muddada (t) = 4 ilbiriqsi
La doonayo:
Masaafada lagu safray 10 ilbiriqsi gudahood
Xalka:
Saddex isle'eg oo dhaqdhaqaaqa ah oo ku socda xawaare joogto ah:
v t = v o + at
d = v o t + ½ marka la gaaro 2
v t 2 = v o 2 + 2 xayeysiis
v t = xawaaraha kama dambaysta ah, v o = xawaaraha bilowga ah, a = dardargelinta, t = muddada u dhaxaysa, d = masaafada
Dardargelinta (a):
v t = v o + at
20 = 0 + a (4)
20 = 4 a
a = 20/4
a = 5 m/s 2
Masaafada lagu safray 10 ilbiriqsi gudahood:
d = v o t + ½ marka la gaaro 2
d = (0)(10) + ½ (5)(10) 2
d = ½ (5)(100)
d = (5)(50)
d = 250 mitir
8. Haddii shay si toosan loo tuuro kor uga sarreeya dusha sare ee dhulka, markaas waa garaafka dardargelinta uu walaxdu la kulmay.
Solution
Marka shay si toosan kor ugu dhaqaaqo, dardargelinta uu shay la kulmo waa dardargelinta cufisjiidadka awgeed. Cabbirka dardargelinta ee cufisjiidadka awgeed waa 9.8 m/s 2 jihada dardargelinta ee cufisjiidadka awgeedna waxay u socotaa bartamaha Dhulka.
Dardargelinta joogtada ah waxaa lagu gartaa xariiq toosan oo barbar socota dhidibka t iyo mid toosan oo u janjeerta dhidibka a.
Jawaabta saxda ah waa D.
9. Iyada oo ku saleysan garaafka hoose, go'aami masaafada uu walaxdu ku safray 20 ilbiriqsi.
A. 600 mitir
B. 500 mitir
C. 200 mitir
D. 100 mitir
Solution
Masaafada la safray 0 - 10 ilbiriqsi = bedka labajibbaaran + bedka saddexagalka
Bedka labajibbaaran = (20-0)(10-0) = (20)(10) = 200 mitir
Bedka saddexagalka = (1/2)(10-0)(40-20) = (1/2)(10)(20) = (5)(20) = 100 mitir
Masaafada la safray 0 – 10 ilbiriqsi = 200 mitir + 100 mitir = 300 mitir
Masaafada la safray 10 - 20 ilbiriqsi = bedka saddexagalka
Bedka saddexagalka = (1/2)(20-10)(40-0) = (1/2)(10)(40) = (5)(40) = 200 mitir
Masaafada la safray 0 - 20 ilbiriqsi:
300 mitir + 200 mitir = 500 mitir
Jawaabta saxda ah waa B.
10. Dhaqdhaqaaqa saddex shay, mid walbana waxaa lagu sawiray garaafka hoose.
Go'aami weedha saxda ah ee dhaqdhaqaaqa saddexda shay.
Xalka:
Garaafka shayga 1 = Garaafka dardargelinta (a) iyo muddada u dhaxaysa (t)
Iyada oo ku saleysan garaafka, shaygu wuxuu ku socdaa dardargelin joogto ah. Dardargelin joogto ah oo lagu tilmaamay xariiq toosan oo ku toosan dhidibka dardargelinta (a).
Garaafka shayga 2 = Garaafka xawaaraha (v) iyo muddada u dhaxaysa (a)
Iyada oo ku saleysan garaafka, shaygu wuxuu ku socdaa xawaare joogto ah. Xawaaraha joogtada ah ee lagu tilmaamay xariiq toosan oo ku toosan dhidibka xawaaraha (v).
Garaafka shayga 3 = Garaafka barokaca (x) iyo waqtiga (a)
Iyada oo ku saleysan garaafka, joogtada barokaca ama shayga nasashada.
Jawaabta saxda ah waa A.
11. Booska shay ku socda dhidibka x waxaa lagu muujiyay garaafka soo socda.
Garaafku wuxuu muujinayaa in shaygu uu ku socdo xawaare joogto ah inta u dhaxaysa waqtiga u dhexeeya….
A. 5-15 ilbiriqsi iyo 25-35 ilbiriqsi
B. 0-5 ilbiriqsi iyo 35-40 ilbiriqsi
C. 15-25 ilbiriqsi
D. 0-5 ilbiriqsi, 15-25 ilbiriqsi iyo 35-40 ilbiriqsi
Xalka:
5-15 ilbiriqsi iyo 25-35 ilbiriqsi = Kala-guurka shayga had iyo jeer waa joogto ama shayga nasashada.
0-5 ilbiriqsi, 15-25 ilbiriqsi iyo 35-40 ilbiriqsi = walaxdu waxay ku socotaa xawaare joogto ah.
Jawaabta saxda ah waa D.
12. Jaantuska soo socdaa wuxuu muujinayaa xawaaraha shaqada waqtiga ee laba shay oo si toos ah uga dhaqaaqaya isla booska bilowga. Kadib markii ay dhaqaaqaan ilbiriqsiyo t, labada shayba waxay leeyihiin isbeddel isku mid ah booska. Go'aami muddada u dhaxaysa iyo kala-guurka shayga.
A. 5 ilbiriqsi iyo 50 mitir
B. 5 ilbiriqsi iyo 100 mitir
C. 10 ilbiriqsi iyo 50 mitir
D. 10 ilbiriqsi iyo 100 mitir
Xalka:
Garaafka 1 = dardargelin joogto ah
Muddada u dhaxaysa = 10 ilbiriqsi
Masaafada = bedka saddexagalka = ½ (v)(t) = ½ (10-0)(20-0) = ½ (10)(20) = (5)(20) = 100 mitir
Garaafka 2 = xawaare joogto ah
Muddada u dhaxaysa = 10 ilbiriqsi
Masaafada = bedka labajibbaaran = (v)(t) = (10-0)(10-0) = (10)(10) = 100 mitir
Jawaabta saxda ah waa D.
13. Iyada oo ku saleysan garaafka hoose, muddada u dhaxaysa marka shaygu uu ku socdo xawaare joogto ah iyo muddada u dhaxaysa marka shaygu uu la kulmayo dardargelinta ugu weyn waa ….
A. Inta u dhaxaysa 0 iyo t1, iyo inta u dhaxaysa t1 iyo t2
B. Inta u dhaxaysa t 1 iyo t 2 , iyo inta u dhaxaysa t 2 iyo t 3
C. Inta u dhaxaysa t 2 iyo t 3 , iyo inta u dhaxaysa t 1 iyo t 2
D. Inta u dhaxaysa 0 iyo t 1 , iyo inta u dhaxaysa t 2 iyo t 3
Xalka:
Haddii garaafku yahay xariiq toosan, xawaaruhu waa joogto, haddii garaafku yahay xariiq toosan, dardargelintu waa joogto. Khadku wuu janjeedhsanayaa, dardargelintu way sii weynaanaysaa.
0 – t 1 = dardargelin joogto ah
t 1 – t 2 = xawaare joogto ah
t 2 – t 3 = dardargelin joogto ah
Jawaabta saxda ah waa B.
1. Su'aal: Maxay u taagan tahay jiirada booska iyo jaantuska waqtiga? Jawaab: Jiirada booska iyo jaantuska waqtiga waxay u taagan tahay xawaaraha shayga. Jiirada qotoda dheer waxay muujinaysaa xawaare sare, halka xariiq siman (joogto ah) ay tilmaamayso in shaygu nasanayo.
2. Su'aal: Garaafka xawaaraha iyo waqtiga, sidee baad u go'aamisaa barokaca shay? Jawaab: Barakaca shay waxaa lagu heli karaa iyadoo la xisaabinayo aagga ka hooseeya qalooca (ama inta u dhaxaysa qalooca iyo dhidibka x) jaantuska xawaaraha iyo waqtiga.
3. Su'aal: Sidee u kala saari kartaa dhaqdhaqaaqa isku midka ah iyo kan aan isku midka ahayn ee ku jira jaantuska booska iyo kan waqtiga? Jawaab: Garaafka booska iyo kan waqtiga, dhaqdhaqaaqa isku midka ah waxaa lagu matalaa xariiq toosan (jiidid joogto ah), halka dhaqdhaqaaqa aan isku midka ahayn lagu matalo xariiq qaloocan, taasoo muujinaysa in xawaaruhu uu isbeddelayo waqti ka dib.
4. Su'aal: Maxay tilmaamaysaa xariiq toosan oo ku taal xawaaraha iyo jaantuska waqtiga? Jawaab: Xariiqda toosan ee ku taal xawaaraha iyo jaantuska waqtiga waxay tilmaamaysaa in shaygu uu ku socdo xawaare joogto ah, tusaale ahaan, ma aha mid xawaareynaya ama hoos u dhigaya.
5. Su'aal: Haddii xawaaraha iyo jaantuska waqtiga uu ka hooseeyo dhidibka waqtiga (xawaaraha taban), maxay tilmaamaysaa? Jawaab: Haddii jaantuska xawaaraha iyo jaantuska waqtiga uu ka hooseeyo dhidibka waqtiga, waxay tilmaamaysaa in shaygu uu u socdo jihada ka soo horjeeda jihada tixraaca (badanaa loo qaato mid togan).
6. Su'aal: Sidee loogu muujiyaa dardargelinta jaantuska xawaaraha iyo waqtiga? Jawaab: Garaafka xawaaraha iyo waqtiga, dardargelinta waxaa lagu matalaa jihada garaafka. Jaranjarada togan waxay muujinaysaa dardargelin togan, janjeedhka taban wuxuu tilmaamayaa dardargelin taban (ama hoos u dhac), xariiqda fidsanna waxay muujinaysaa inaysan jirin dardargelin.
7. Su'aal: Maxay tilmaamaysaa qalooca parabolic ee booska iyo jaantuska waqtiga? Jawaab: Qalooca parabolic ee booska iyo jaantuska waqtiga wuxuu soo jeedinayaa in shaygu uu ku jiro dardar joogto ah. Qaabka qalooca waa afargeesle, oo la jaan qaadaya isla'egta kinematic .
8. Su'aal: Jagada iyo jaantuska waqtiga, sidee baad ku ogaan kartaa in shay uu hore u socdo ama dib u socdo marka loo eego bartii uu ka bilaabay? Jawaab: Haddii qalooca ama xariiqdu ay ku taal booska iyo jaantuska waqtiga uu kor u kacayo (kor u socdo), waxay tilmaamaysaa in shaygu uu hore u socdo (ama jihada togan). Haddii qalooca ama xariiqdu ay hoos u dhacayso (hoos u socoto), waxay muujinaysaa in shaygu uu dib u socdo (ama jihada taban) marka loo eego booskiisa bilowga.
9. Su'aal: Sidee buu shayga si xor ah u dhacayaa ugu eg yahay jaantuska xawaaraha iyo waqtiga? Jawaab: Shayga si xor ah u dhacaya (iska indha tiraya iska caabbinta hawada), jaantuska xawaaraha iyo waqtiga wuxuu noqon doonaa xariiq toosan oo leh jiho togan (haddii laga bilaabayo nasasho) sababtoo ah dardargelinta joogtada ah ee ay sabab u tahay cufisjiidadka. Jiidashadu waxay matalaysaa qiimaha dardargelinta, kaas oo Dhulka ku yaal qiyaastii .
10. Su'aal: Haddii shay uu nasanayo, sidee bay u ekaan lahayd dardargelintiisa iyo jaantuska waqtiga? Jawaab: Shayga nasashada, dardargelintiisa iyo jaantuska waqtiga waxay noqon lahayd xariiq toosan oo ku taal dhidibka waqtiga, taasoo muujinaysa in dardargelintu ay eber tahay inta lagu jiro muddada.
