Chitsanzo cha kuyenda kofulumira kofanana kwa mzere

Zitsanzo 10 za kuyenda kofulumira kofanana kwa mzere

1. Poyamba galimotoyo imakhala yosasunthika. Pambuyo pa masekondi 10, liwiro la galimotoyo limakwera kufika pa 20 m/s. Dziwani liwiro la galimotoyo!
Zokambirana
Palibe njira (gwiritsani ntchito mfundo zomveka) :
Liwiro la galimoto limasintha kufika pa 20 m/s pakatha masekondi 10. Izi zikutanthauza kuti liwiro la galimotoyo limawonjezeka ndi 2 m/s sekondi iliyonse. Chifukwa chake, liwiro la galimotoyo ndi 2 m/s pa sekondi iliyonse = 2 m/s pa sekondi iliyonse = 2 m/s².
Kugwiritsa ntchito fomula :
Amadziwika kuti:
Liwiro loyambirira (v)_o) = 0 (galimoto siimaima)
Nthawi yopuma (t) = masekondi 10
Liwiro lomaliza (v)_t) = 20 m/s
Anafunsa: kuthamangitsidwa kwa galimoto (a)
Yankho:
Chifukwa zimadziwika kuti v_omu_t, t ndipo anafunsa a kenako gwiritsani ntchito fomula ya GLBB v_t = vo + pa
v_t =v_o + pa
20 = 0 + (a)(10)
20 = 10 a
a = 20 / 10
a = 2 m/s²
Kuthamanga kwa galimoto ndi 2 m/s²Izi zikutanthauza kuti liwiro la galimotoyo limawonjezeka ndi 2 m/s pa sekondi imodzi iliyonse.

2. Poyamba galimoto imayenda pa liwiro la 30 m/s ndipo imachepetsa liwiro lake mpaka itaima patatha masekondi atatu. Kukula kwa kutsika kwa liwiro la galimotoyo ndi...
Zokambirana
Popanda fomula (gwiritsani ntchito mfundo zomveka):
Liwiro la galimoto limachepa kuchoka pa 30 m/s kufika pa 0 m/s pakatha masekondi 10. Izi zikutanthauza kuti liwiro la galimoto limachepa ndi 3 m/s pakatha sekondi iliyonse. Chifukwa chake, kutsika kwa liwiro la galimoto ndi 2 m/s pakatha sekondi iliyonse = 3 m/s.².
Kugwiritsa ntchito fomula iyi:
Amadziwika kuti:
Liwiro loyambirira (v)_o) = 30 m/s
Liwiro lomaliza (v)_t= = 0
Nthawi yopuma (t) = masekondi 10
Anafunsa: kuchepa kwa liwiro (a)?
Yankho:
Chifukwa zimadziwika kuti v_omu_t, t ndipo anafunsa a kenako gwiritsani ntchito fomula ya GLBB v_t = vo + pa
v_t =v_o + pa
0 = 30 + (a)(10)
– 30 = 10 a
a = – 30/10
a = 3 m/s²
Kukula kwa liwiro la galimoto ndi -3 m/s²Izi zikutanthauza kuti liwiro la galimotoyo limachepa ndi 3 m/s sekondi iliyonse. Chizindikiro chosonyeza kuti liwiro la galimotoyo limachepa.

3. Chinthu chomwe poyamba chimakhala chili pamalo opumulira chimayenda ndi liwiro losalekeza la 4 m/s.²Dziwani liwiro ndi mtunda womwe mwayenda pambuyo pa masekondi 10.
Zokambirana
(a) Liwiro
Kuthamanga 4 m/s² Izi zikutanthauza kuti liwiro la chinthucho limawonjezeka ndi 4 m/s sekondi imodzi iliyonse. Pambuyo pa masekondi awiri, liwiro la chinthucho limakhala 8 m/s. Pambuyo pa masekondi 10, liwiro la chinthucho limakhala 40 m/s.
(b) Mtunda woyenda
Liwiro loyambirira (v)_o= = 0
Liwiro lomaliza (v)_t) = 40 m/s
a = 4 m/s²

Makilomita:
s = v_o t + ½ pa² = 0 + ½ (4)(10²) = (2)(100) = mamita 200
4. Chinthu chomwe chimayamba kuyenda pa liwiro losasintha la 10 m/s chimakumana ndi kuchepa kwa liwiro la 2 m/s.² mpaka itaima. Dziwani nthawi ndi mtunda womwe galimotoyo imayenda musanayime.
Zokambirana
Amadziwika kuti:
Liwiro loyambirira (v)_o) = 10 m/s
Kuthamanga (a) = -2 m/s² (ngati ikuchedwa ndiye kuti imapatsidwa chizindikiro choipa)
Liwiro lomaliza (v)_t) = 0 (chinthu chimasiya kuyenda)
Funso: nthawi ndi mtunda woyenda galimoto isanayime.
Yankho:
(a) Nthawi yopuma
Chifukwa zimadziwika kuti v_omu_t, a ndipo anafunsa t kenako gwiritsani ntchito fomula ya GLBB v_t =v_o + pa
v_t =v_o + pa
0 = 10 + (-2)(t)
0 = 10 - 2 t
10 = 2 t
t = 10 / 2 = masekondi 5
Nthawi yopuma isanayime = masekondi 5.
(b) Mtunda woyenda
v_t² =v_o² + ma axle awiri
0 = 10² + 2(-2) s
0 = 100 – 4 masekondi
100 = masekondi 4
s = 100 / 4 = mamita 25
Mtunda umene galimotoyo inayenda isanayime unali mamita 25

5. Galimoto yomwe imayenda pa liwiro la 40 m/s poyamba imasinthasintha nthawi zonse ndi 4 m/s.²Dziwani liwiro ndi mtunda womwe galimotoyo yayenda mutachepetsa liwiro kwa masekondi asanu.
Zokambirana
Amadziwika kuti:
Liwiro loyambirira (v)_o) = 40 m/s
Kuthamanga (a) = -4 m/s²
Nthawi yopuma (t) = masekondi 10
Anafunsa: liwiro (v)_t) ndi mtunda (ma) pambuyo pochepetsa liwiro kwa masekondi 10
Yankho:
(a) Liwiro lomaliza
v_t =v_o + pa = 40 + (-4)(10) = 40 – 40 = 0 m/s
Pambuyo pochepetsa liwiro kwa masekondi 10, liwiro la galimotoyo limasintha kufika pa 0 kapena galimotoyo imayima.
(b) Mtunda woyenda
s = v_o t + ½ pa² = (40)(10) + ½ (-4)(10)²) = 400 + (-2)(100) = 400 – 200 = mamita 200
Mtunda umene galimotoyo imadutsa itatha kutsika kwa masekondi 10 mpaka itaima ndi mamita 200.
6. Liwiro (v) la chinthu choyenda molunjika limagwirizana ndi nthawi (t) monga momwe zasonyezedwera pa graph ya v-t. Mtunda woyenda ndi chinthucho mu masekondi 5 ndi…

Zokambirana
Mtunda woyenda (s) = vt = (10-0)(5-0) = (10)(5) = mamita 50
7. Chithunzi chomwe chili pambali chikuwonetsa kayendetsedwe ka galimoto ikuyenda molunjika pa liwiro losasintha. Mtunda woyenda ndi galimotoyo mu masekondi anayi ndi….

Zokambirana
Mtunda woyenda = dera la sikweya + dera la katatu
Mtunda woyenda = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = mamita 96
8. Chithunzi chomwe chili pambali chikuwonetsa galimoto ikuyenda molunjika pa liwiro losasintha. Mtunda womwe galimotoyo yayenda mu masekondi anayi ndi….

Zokambirana
Mtunda woyenda = dera la katatu = ½ (4-0) (8-0) = ½ (4) (8) = mamita 16

9. Onani tebulo lotsatira!

Gome ili pamwambapa likuwonetsa zinthu zitatu zomwe zikuyenda molunjika pa liwiro losasintha zomwe zimaphimba mtunda womwewo. Vesi lomaliza P ndi vesi loyambirira Q la zinthuzo ndi….

A. 20 ms^-1 ndi 20 ms^-1

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

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

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

E. 40 ms^-1 ndi 40 ms^-1

Zokambirana

Mtunda woyenda ndi womwewo, choncho choyamba werengani mtunda woyenda ndi chinthu nambala 3.

Mtunda woyenda ndi chinthu nambala 3:

Amadziwika kuti:

Liwiro loyambirira (v)_o) = 0 m/s

Liwiro lomaliza (v)_t) = 30 m/s

Kuthamanga (a) = 3 m/s²

Anafunsa : Mtunda

Yankho:

v_t² =v_o² + ma axle awiri

v_t² -v_o² = ma axle awiri

30² - 0² = 2 (3) s

900 - 0 = masekondi 6

900 = masekondi 6

s = 900 / 6

s = mamita 150

Liwiro lomaliza la chinthu nambala 1:

Amadziwika kuti:

Liwiro loyambirira (v)_o) = 20 m/s

Kuthamanga (a) = 4 m/s²

Mtunda (ma) = mamita 150

Anafunsa Liwiro lomaliza (v)_t)

Yankho:

v_t² =v_o² + ma axle awiri

v_t² = 20² + 2 (4)(150)

v_t² = 400 + 1200

v_t² = 1600

v_t = 40 m/s

Liwiro loyambirira la chinthu nambala 2:

Amadziwika kuti:

Liwiro lomaliza (v)_t) = 50 m/s

Kuthamanga (a) = 3 m/s²

Mtunda (ma) = mamita 150

Anafunsa Liwiro loyambirira (v)_o)

Yankho:

v_t² =v_o² + ma axle awiri

v_t² – 2 monga = v_o²

50² – 2(3)(150) = v_o²

2500 – 900 = v_o²

1600 = v_o²

v_o = 40 m/s

Yankho lolondola ndi E.

10. Zinthu zitatu zimayenda molunjika pa liwiro losasintha pa ndege yopingasa. Zinthu zonse zitatu zimayenda ndi liwiro lomwelo. Kukula kwa zinthu zitatuzo pambuyo pa masekondi 10 akuyenda kwawonetsedwa mu tebulo lotsatirali:

Deta ya P ndi Q yomwe ili patebulo ili ndi mtengo wake….

A. 6 ndi 140

B. 6 ndi 120

C. 4 ndi 120

D. 4 ndi 100

E. 1 ndi 100

Zokambirana

Kuthamanga kwa zinthu zitatuzi ndi komweko, choncho choyamba werengani kuthamanga kwa chinthu 1.

Kufulumizitsa chinthu 1:

Amadziwika kuti:

Liwiro loyambirira (v)_o) = 2 m/s

Liwiro lomaliza (v)_t) = 22 m/s

Mtunda (ma) = mamita 120

Anafunsa : Mtunda

Yankho:

v_t² =v_o² + ma axle awiri

v_t² -v_o² = ma axle awiri

22² - 2² = 2 (120)

484 - 4 = 240 a

480 = 240 a

a = 480/240

a = 2 m/s²

Liwiro loyambirira la chinthu 2:

Amadziwika kuti:

Kuthamanga (a) = 2 m/s²

Liwiro lomaliza (v)_t) = 24 m/s

Mtunda (ma) = mamita 140

Anafunsa Liwiro loyambirira (v)_o)

Yankho:

v_t² =v_o² + ma axle awiri

24² =v_o² + 2 (2)(140)

576 = v_o² + 560

576 – 560 = v_o²

16 = v_o²

v_o = 4 m/s

Mtunda wa chinthu 3:

Amadziwika kuti:

Liwiro loyambirira (v)_o) = 0 m/s

Liwiro lomaliza (v)_t) = 20 m/s

Kuthamanga (a) = 2 m/s²

Anafunsa : Mtunda (s)

Yankho:

v_t² =v_o² + ma axle awiri

20² = 0² + 2 (2) s

20² = 2 (2) s

400 = 4 s

s = 400/4

s = mamita 100

Yankho lolondola ndi D.

Mafunso okhudza kuyenda kofulumira kwa mzere

1. Poyamba galimotoyo imakhala yosasunthika. Pambuyo pa masekondi 5, liwiro la galimotoyo limakwera kufika pa 15 m/s. Dziwani liwiro la galimotoyo!
2. Poyamba galimoto imayenda pa liwiro la 24 m/s ndipo imachepetsa liwiro lake mpaka itaima patatha masekondi atatu. Kukula kwa kutsika kwa liwiro la galimotoyo ndi...
3. Chinthu chomwe poyamba chimakhala chili pamalo opumulira chimayenda ndi liwiro losalekeza la 5 m/s.²Dziwani liwiro ndi mtunda womwe mwayenda pambuyo pa masekondi 10.
4. Chinthu chomwe chimayamba kuyenda pa liwiro losasintha la 5 m/s chimakumana ndi kuchepa kwa liwiro la 5 m/s.² mpaka itaima. Dziwani nthawi ndi mtunda womwe galimotoyo imayenda musanayime.
5. Galimoto yomwe imayenda pa liwiro la 30 m/s poyamba imasinthasintha nthawi zonse ndi 5 m/s.²Dziwani liwiro ndi mtunda womwe galimotoyo yayenda mutachepetsa liwiro kwa masekondi asanu.
6. Liwiro (v) la chinthu choyenda molunjika limagwirizana ndi nthawi (t) monga momwe zasonyezedwera pa graph ya v-t. Mtunda woyenda ndi chinthucho mu masekondi 10 ndi…

7. Chithunzi chomwe chili pambali chikuwonetsa kayendetsedwe ka galimoto ikuyenda molunjika pa liwiro losasintha. Mtunda woyenda ndi galimotoyo mu masekondi anayi ndi….

8. Chithunzi chomwe chili pambali chikuwonetsa galimoto ikuyenda molunjika pa liwiro losasintha. Mtunda womwe galimotoyo yayenda mu masekondi anayi ndi….

[Chingerezi: Kuthamanga nthawi zonse - mavuto ndi mayankho]